Author name code: sekii ADS astronomy entries on 2022-09-14 author:"Sekii, Takashi" ------------------------------------------------------------------------ Title: Bayesian Rotation Inversion of KIC 11145123 Authors: Hatta, Yoshiki; Sekii, Takashi; Benomar, Othman; Takata, Masao Bibcode: 2022ApJ...927...40H Altcode: 2021arXiv211212341H A scheme of Bayesian rotation inversion, which allows us to compute the probability of a model of a stellar rotational profile, is developed. The validation of the scheme with simple rotational profiles and the corresponding sets of artificially generated rotational shifts has been successfully carried out, and we can correctly distinguish the (right) rotational model, prepared beforehand for generating the artificial rotational shifts, from the other (wrong) rotational model. The Bayesian scheme is applied to a γ Dor-δ Sct-type hybrid star, KIC 11145123, leading to a result that the convective core of the star might be rotating much faster (~10 times faster) than the other regions of the star. The result is consistent with that previously suggested by Hatta et al. based on a three-zone modeling, further strengthening their argument from a Bayesian point of view. Title: Nonstandard Modeling of a Possible Blue Straggler Star, KIC 11145123 Authors: Hatta, Yoshiki; Sekii, Takashi; Takata, Masao; Benomar, Othman Bibcode: 2021ApJ...923..244H Altcode: 2021arXiv211006926H Nonstandard modeling of KIC 11145123, a possible blue straggler star, has been asteroseismically carried out based on a scheme to compute stellar models with the chemical compositions in their envelopes arbitrarily modified, mimicking the effects of some interactions with other stars through which blue straggler stars are thought to be born. We have constructed a nonstandard model of the star with the following parameters: M = 1.36 M , Y init = 0.26, Z init = 0.002, and f ovs = 0.027, where f ovs is the extent of overshooting described as an exponentially decaying diffusive process. The modification is down to the depth of r/R ~ 0.6 and the extent ΔX, which is a difference in surface hydrogen abundance between the envelope-modified and unmodified models, is 0.06. The residuals between the model and the observed frequencies are comparable with those for the previous model computed assuming standard single-star evolution, suggesting that it is possible that the star was born with a relatively ordinary initial helium abundance of ~0.26 compared with that of the previous models (~0.30-0.40), then experienced some modification of the chemical compositions and gained helium in the envelope. Detailed analyses of the nonstandard model have implied that the elemental diffusion in the deep radiative region of the star might be much weaker than that assumed in current stellar evolutionary calculations; we need some extra mechanisms inside the star, rendering the star a much more intriguing target to be further investigated. Title: A journey of exploration to the polar regions of a star: probing the solar poles and the heliosphere from high helio-latitude Authors: Harra, Louise; Andretta, Vincenzo; Appourchaux, Thierry; Baudin, Frédéric; Bellot-Rubio, Luis; Birch, Aaron C.; Boumier, Patrick; Cameron, Robert H.; Carlsson, Matts; Corbard, Thierry; Davies, Jackie; Fazakerley, Andrew; Fineschi, Silvano; Finsterle, Wolfgang; Gizon, Laurent; Harrison, Richard; Hassler, Donald M.; Leibacher, John; Liewer, Paulett; Macdonald, Malcolm; Maksimovic, Milan; Murphy, Neil; Naletto, Giampiero; Nigro, Giuseppina; Owen, Christopher; Martínez-Pillet, Valentín; Rochus, Pierre; Romoli, Marco; Sekii, Takashi; Spadaro, Daniele; Veronig, Astrid; Schmutz, W. Bibcode: 2021ExA...tmp...93H Altcode: 2021arXiv210410876H A mission to view the solar poles from high helio-latitudes (above 60°) will build on the experience of Solar Orbiter as well as a long heritage of successful solar missions and instrumentation (e.g. SOHO Domingo et al. (Solar Phys. 162(1-2), 1-37 1995), STEREO Howard et al. (Space Sci. Rev. 136(1-4), 67-115 2008), Hinode Kosugi et al. (Solar Phys. 243(1), 3-17 2007), Pesnell et al. Solar Phys. 275(1-2), 3-15 2012), but will focus for the first time on the solar poles, enabling scientific investigations that cannot be done by any other mission. One of the major mysteries of the Sun is the solar cycle. The activity cycle of the Sun drives the structure and behaviour of the heliosphere and of course, the driver of space weather. In addition, solar activity and variability provides fluctuating input into the Earth climate models, and these same physical processes are applicable to stellar systems hosting exoplanets. One of the main obstructions to understanding the solar cycle, and hence all solar activity, is our current lack of understanding of the polar regions. In this White Paper, submitted to the European Space Agency in response to the Voyage 2050 call, we describe a mission concept that aims to address this fundamental issue. In parallel, we recognise that viewing the Sun from above the polar regions enables further scientific advantages, beyond those related to the solar cycle, such as unique and powerful studies of coronal mass ejection processes, from a global perspective, and studies of coronal structure and activity in polar regions. Not only will these provide important scientific advances for fundamental stellar physics research, they will feed into our understanding of impacts on the Earth and other planets' space environment. Title: A Journey of Exploration to the Polar Regions of a Star: Probing the Solar Poles and the Heliosphere from High Helio-Latitude Authors: Finsterle, W.; Harra, L.; Andretta, V.; Appourchaux, T.; Baudin, F.; Bellot Rubio, L.; Birch, A.; Boumier, P.; Cameron, R. H.; Carlsson, M.; Corbard, T.; Davies, J. A.; Fazakerley, A. N.; Fineschi, S.; Gizon, L. C.; Harrison, R. A.; Hassler, D.; Leibacher, J. W.; Liewer, P. C.; Macdonald, M.; Maksimovic, M.; Murphy, N.; Naletto, G.; Nigro, G.; Owen, C. J.; Martinez-Pillet, V.; Rochus, P. L.; Romoli, M.; Sekii, T.; Spadaro, D.; Veronig, A. Bibcode: 2020AGUFMSH0110005F Altcode: A mission to view the solar poles from high helio-latitudes (above 60°) will build on the experience of Solar Orbiter as well as a long heritage of successful solar missions and instrumentation (e.g. SOHO, STEREO, Hinode, SDO), but will focus for the first time on the solar poles, enabling scientific investigations that cannot be done by any other mission. One of the major mysteries of the Sun is the solar cycle. The activity cycle of the Sun drives the structure and behaviour of the heliosphere and is, of course, the driver of space weather. In addition, solar activity and variability provides fluctuating input into the Earth climate models, and these same physical processes are applicable to stellar systems hosting exoplanets. One of the main obstructions to understanding the solar cycle, and hence all solar activity, is our current lack of understanding of the polar regions. We describe a mission concept that aims to address this fundamental issue. In parallel, we recognise that viewing the Sun from above the polar regions enables further scientific advantages, beyond those related to the solar cycle, such as unique and powerful studies of coronal mass ejection processes, from a global perspective, and studies of coronal structure and activity in polar regions. Not only will these provide important scientific advances for fundamental stellar physics research, they will feed into our understanding of impacts on the Earth and other planets' space environment. Title: Asteroseismic Study of KIC 11145123: Its Structure and Rotation Authors: Hatta, Yoshiki; Sekii, Takashi; Takata, Masao; Kurtz, Donald W. Bibcode: 2020ASSP...57..243H Altcode: KIC 11145123 is one of the Kepler targets that has been actively studied asteroseismically. Its well-resolved frequency splittings for p, g, and mixed modes have enabled us to infer the 1-dimensional surface-to-core rotation of the star (Kurtz et al., Mon Not R Astron Soc 444:102, 2014) and to measure the asphericity of the star sensed by the modes (Gizon et al., Sci Adv 2:e1601777, 2016). These have been the first such attempts for main-sequence stars other than the Sun. In this paper, we report further detailed asteroseismic analyses of KIC 11145123, focusing on inferring 2-dimensional rotation profile and on fine-tuning the equilibrium model of the star. Our main results are: (1) the convective core might be rotating six times faster than the other parts of the star, and (2) adopting diffusion "weaker" than the usual settings used in the standard 1-d stellar evolution calculations leads to a better agreement with the observed g-mode period spacing pattern. These two results suggest that the rotational velocity shear might be causing some extra mixing around the boundary between convective core and radiative region above, and the extra mixing weakens, in effect, the diffusion process there. This resembles a mechanism thought to be at work around the solar tachocline. Title: The Two-dimensional Internal Rotation of KIC 11145123 Authors: Hatta, Yoshiki; Sekii, Takashi; Takata, Masao; Kurtz, Donald W. Bibcode: 2019ApJ...871..135H Altcode: 2021arXiv211106853H The 2D internal rotation of KIC 11145123 has been inferred via asteroseismology. Based on the optimally localized averaging method and a simple three-zone modeling of the internal rotation, we have found evidence for a contrast between the internal rotation of the radiative region and that of the convective core; the radiative region rotates almost uniformly throughout the region, but the convective core may be rotating about 6 times faster than the radiative region above. We have also found marginally significant evidence of latitudinal differential rotation in the outer envelope. These newly indicated features of the internal rotation of the star can help us further constrain the theory of angular momentum transport inside stars, as well as understand the complex physical properties of the star, which was once thought to be a main-sequence A-type star but recently has been proposed to be a blue straggler, based on spectroscopy. Title: Asteroseismic detection of latitudinal differential rotation in 13 Sun-like stars Authors: Benomar, O.; Bazot, M.; Nielsen, M. B.; Gizon, L.; Sekii, T.; Takata, M.; Hotta, H.; Hanasoge, S.; Sreenivasan, K. R.; Christensen-Dalsgaard, J. Bibcode: 2018Sci...361.1231B Altcode: 2018arXiv180907938B The differentially rotating outer layers of stars are thought to play a role in driving their magnetic activity, but the underlying mechanisms that generate and sustain differential rotation are poorly understood. We report the measurement using asteroseismology of latitudinal differential rotation in the convection zones of 40 Sun-like stars. For the most significant detections, the stars’ equators rotate approximately twice as fast as their midlatitudes. The latitudinal shear inferred from asteroseismology is much larger than predictions from numerical simulations. Title: Can high angular degree non-radial pulsations be observed in roAp stars? Authors: Mathys, Gautier; Shibahashi, Hiromoto; Quintero Noda, Carlos; Sekii, Takashi Bibcode: 2018phos.confE..43M Altcode: In the presence of a magnetic field, stellar spectral lines may appear systematically broader in one circular polarisation than in the opposite one. This rotational crossover effect, which is observed in some Ap stars, results from a correlation between the rotational Doppler shift and the different Zeeman shifts of the circularly polarised components.

Crossover of non-rotational origin has been detected in a number of roAp stars as well as in some noAp stars. The most plausible interpretation is that it is induced by the pulsational velocity gradients across the photospheric layer. Pulsational crossover is expected to be detectable even in the case of high angular degree pulsation modes, contrary to luminosity variations. Thus, it may open a new window into unexplored physics in roAp stars. Title: Spectroscopic and asteroseismic analysis of the remarkable main-sequence A star KIC 11145123 Authors: Takada-Hidai, Masahide; Kurtz, Donald W.; Shibahashi, Hiromoto; Murphy, Simon J.; Takata, Masao; Saio, Hideyuki; Sekii, Takashi Bibcode: 2017MNRAS.470.4908T Altcode: 2017arXiv170604314T A spectroscopic analysis was carried out to clarify the properties of KIC 11145123 - the first main-sequence star with a directly measured core-to-surface rotation profile - based on spectra observed with the High Dispersion Spectrograph (HDS) of the Subaru telescope. The atmospheric parameters (Teff = 7600 K, log g = 4.2, ξ = 3.1 km s-1 and [Fe/H] = -0.71 dex), the radial and rotation velocities, and elemental abundances were obtained by analysing line strengths and fitting line profiles, which were calculated with a 1D LTE model atmosphere. The main properties of KIC 11145123 are: (1) a low [Fe/H] = -0.71 ± 0.11 dex and a high radial velocity of -135.4 ± 0.2 km s-1. These are remarkable among late-A stars. Our best asteroseismic models with this low [Fe/H] have slightly high helium abundance and low masses of 1.4 M. All of these results strongly suggest that KIC 11145123 is a Population II blue straggler; (2) the projected rotation velocity confirms the asteroseismically predicted slow rotation of the star; (3) comparisons of abundance patterns between KIC 11145123 and Am, Ap, and blue stragglers show that KIC 11145123 is neither an Am star nor an Ap star, but has abundances consistent with a blue straggler. We conclude that the remarkably long 100-d rotation period of this star is a consequence of it being a blue straggler, but both pathways for the formation of blue stragglers - merger and mass loss in a binary system - pose difficulties for our understanding of the exceedingly slow rotation. In particular, we show that there is no evidence of any secondary companion star, and we put stringent limits on the possible mass of any such purported companion through the phase modulation technique. Title: The double-ridge structure of the high-frequency time-distance crosscorrelation function in local helioseismology Authors: Kambara, Nagaaki; Sekii, Takashi Bibcode: 2017SPD....4810902K Altcode: We model helioseismic high-frequency cross-correlation function and carry out comparison with observational data.We also discuss the source depth of the acoustic waves, one of the model parameters.It has been reported that when time-distance analysis is applied to the high-frequency acoustic waves, with frequencies above the critical cutoff frequency, time-distance cross-correlation function exhibits double-ridge structure. It has been pointed out, however, that in such analyses subcritical components (frequency < 5.3 MHz) may not be completely filtered out, and a hypothesis is that the double ridges are generated as artificial interference patterns of the subcritical waves and the supercritical waves. We test this hypothesis using SDO/HMI data.The data are put through a frequency filter before the cross-correlation function is computed. We vary the width and central frequency of the filter and examine when double ridges appear. When both the supercritical and the subcritical components are present in the filtered power spectrum, double ridges appear. When there is only one of the components, however, double ridges do not appear, confirming that interference between the two components is necessary for the double ridges.Next, we construct a simple model of cross-correlation function by ray-tracing the waves generated at a certain depth. The model reproduces the double-ridge structure well, indeed by interference between the supercritical part and the subcritical part, each of which by itself exhibits only a single ridge. We find that the successful reproduction of the observations depends sharply on the source depth of the acoustic wave, one of the input parameters to the model.This indicates a possibility that we can measure the source depth of the acoustic waves precisely, using the double ridges. Title: SOLARIS: Solar Sail Investigation of the Sun Authors: Appourchaux, Thierry; Auchère, Frédéric; Antonucci, Ester; Gizon, Laurent; MacDonald, Malcolm; Hara, Hirohisa; Sekii, Takashi; Moses, Daniel; Vourlidas, Angelos Bibcode: 2017arXiv170708193A Altcode: In this paper, we detail the scientific objectives and outline a strawman payload of the SOLAR sail Investigation of the Sun (SOLARIS). The science objectives are to study the 3D structure of the solar magnetic and velocity field, the variation of total solar irradiance with latitude, and the structure of the corona. We show how we can meet these science objective using solar-sail technologies currently under development. We provide a tentative mission profile considering several trade-off approaches. We also provide a tentative mass budget breakdown and a perspective for a programmatic implementation. Title: Helioseismology and Dynamics of the Solar Interior Authors: Thompson, M. J.; Brun, A. S.; Culhane, J. L.; Gizon, L.; Roth, M.; Sekii, T. Bibcode: 2017hdsi.book.....T Altcode: No abstract at ADS Title: Future Mission Concepts for Helioseismology Authors: Sekii, Takashi; Appourchaux, Thierry; Fleck, Bernhard; Turck-Chièze, Sylvaine Bibcode: 2017hdsi.book..291S Altcode: No abstract at ADS Title: Preface: Helioseismology and Dynamics of the Solar Interior Authors: Gizon, Laurent; Thompson, Michael J.; Brun, A. Sacha; Culhane, J. Len; Roth, Markus; Sekii, Takashi Bibcode: 2017hdsi.book....1G Altcode: No abstract at ADS Title: Shape of a slowly rotating star measured by asteroseismology Authors: Gizon, L.; Sekii, T.; Takata, M.; Kurtz, D. W.; Shibahashi, H.; Bazot, M.; Benomar, O.; Birch, A. C.; Sreenivasan, K. R. Bibcode: 2016SciA....2E1777G Altcode: 2016arXiv161106435G Stars are not perfectly spherically symmetric. They are deformed by rotation and magnetic fields. Until now, the study of stellar shapes has only been possible with optical interferometry for a few of the fastest-rotating nearby stars. We report an asteroseismic measurement, with much better precision than interferometry, of the asphericity of an A-type star with a rotation period of 100 days. Using the fact that different modes of oscillation probe different stellar latitudes, we infer a tiny but significant flattening of the star's shape of $\Delta R/R = (1.8 \pm 0.6) \times 10^{-6}$. For a stellar radius $R$ that is $2.24$ times the solar radius, the difference in radius between the equator and the poles is $\Delta R = 3 \pm 1$ km. Because the observed $\Delta R/R$ is only one-third of the expected rotational oblateness, we conjecture the presence of a weak magnetic field on a star that does not have an extended convective envelope. This calls to question the origin of the magnetic field. Title: Statistics of the two-point cross-covariance function of solar oscillations Authors: Nagashima, Kaori; Sekii, Takashi; Gizon, Laurent; Birch, Aaron C. Bibcode: 2016A&A...593A..41N Altcode: 2016arXiv160606497N Context. The cross-covariance of solar oscillations observed at pairs of points on the solar surface is a fundamental ingredient in time-distance helioseismology. Wave travel times are extracted from the cross-covariance function and are used to infer the physical conditions in the solar interior.
Aims: Understanding the statistics of the two-point cross-covariance function is a necessary step towards optimizing the measurement of travel times.
Methods: By modeling stochastic solar oscillations, we evaluate the variance of the cross-covariance function as function of time-lag and distance between the two points.
Results: We show that the variance of the cross-covariance is independent of both time-lag and distance in the far field, that is, when they are large compared to the coherence scales of the solar oscillations.
Conclusions: The constant noise level for the cross-covariance means that the signal-to-noise ratio for the cross-covariance is proportional to the amplitude of the expectation value of the cross-covariance. This observation is important for planning data analysis efforts. Title: Future Mission Concepts for Helioseismology Authors: Sekii, Takashi; Appourchaux, Thierry; Fleck, Bernhard; Turck-Chièze, Sylvaine Bibcode: 2015SSRv..196..285S Altcode: 2015SSRv..tmp...15S Future space-mission concepts currently discussed in the helioseismology community are reviewed. One popular idea is to observe the Sun from high latitudes, to explore the polar regions as well as to probe the deep interior using stereoscopic techniques, by combining observations from high latitudes with observations from within the ecliptic plane. Another idea is to stay within the ecliptic plane but still aim for stereoscopic helioseismology for deep layers. A new instrument and a novel mission concept for studying the solar core regions are also discussed. Title: Asteroseismic measurement of surface-to-core rotation in a main-sequence star Authors: Kurtz, Donald W.; Saio, Hideyuki; Takata, Masao; Shibahashi, Hiromoto; Murphy, Simon J.; Sekii, Takashi Bibcode: 2015EPJWC.10101007K Altcode: We have discovered rotationally split core g-mode triplets and surface p-mode triplets and quintuplets in a terminal age main-sequence A star, KIC 11145123, that shows both δ Sct p-mode pulsations and γ Dor g-mode pulsations. This gives the first robust determination of the rotation of the deep core and surface of a main-sequence star, essentially model-independently. We find its rotation to be nearly uniform with a period near 100 d, but we show with high confidence that the surface rotates slightly faster than the core. A strong angular momentum transfer mechanism must be operating to produce the nearly rigid rotation, and a mechanism other than viscosity must be operating to produce a more rapidly rotating surface than core. Our asteroseismic result, along with previous asteroseismic constraints on internal rotation in some B stars, and measurements of internal rotation in some subgiant, giant and white dwarf stars, has made angular momentum transport in stars throughout their lifetimes an observational science. Title: Recent discoveries of structures and physical processes in local helioseismology Authors: Sekii, T.; Shibahashi, H. Bibcode: 2015exse.book..180S Altcode: No abstract at ADS Title: Asteroseismic measurement of slow, nearly uniform surface-to-core rotation in the main-sequence F star KIC 9244992 Authors: Saio, Hideyuki; Kurtz, Donald W.; Takata, Masao; Shibahashi, Hiromoto; Murphy, Simon J.; Sekii, Takashi; Bedding, Timothy R. Bibcode: 2015MNRAS.447.3264S Altcode: 2014arXiv1412.5362S We have found a rotationally split series of core g-mode triplets and surface p-mode multiplets in a main-sequence F star, KIC 9244992. Comparison with models shows that the star has a mass of about 1.45 M, and is at an advanced stage of main-sequence evolution in which the central hydrogen abundance mass fraction is reduced to about 0.1. This is the second case, following KIC 11145123, of an asteroseismic determination of the rotation of the deep core and surface of an A-F main-sequence star. We have found, essentially model independently, that the rotation near the surface, obtained from p-mode splittings, is 66 d, slightly slower than the rotation of 64 d in the core, measured by g-mode splittings. KIC 9244992 is similar to KIC 11145123 in that both are near the end of main-sequence stage with very slow and nearly uniform rotation. This indicates the angular momentum transport in the interior of an A-F star during the main-sequence stage is much stronger than that expected from standard theoretical formulations. Title: Solar rotation inferred from radial velocities of the Sun-as-a-star during the 2012 May 21 eclipse* Authors: Takeda, Yoichi; Ohshima, Osamu; Kambe, Eiji; Toda, Hiroyuki; Koyano, Hisashi; Sato, Bun'ei; Nakamura, Yasuhisa; Narita, Norio; Sekii, Takashi Bibcode: 2015PASJ...67...10T Altcode: 2014arXiv1411.1481T; 2015PASJ..tmp..147T With the aim of examining how much information of solar rotation can be obtained purely spectroscopically by observing the Sun-as-a-star during the 2012 May 21 eclipse at Okayama Astrophysical Observatory, we studied the variation of radial velocities (Vr), which were derived by using the iodine-cell technique based on a set of 184 high-dispersion spectra consecutively obtained over a time span of ∼ 4 hr. The resulting Vr(t) was confirmed to show the characteristic variation (Rossiter-McLaughlin effect) caused by time-varying visibility of the solar disk. By comparing the observed Vr(t) curve with the theoretical ones [which were simulated with the latitude (ψ) dependent solar rotation law ωsidereal(ψ) = A + B sin 2ψ (degree d-1)] we found that the relation B ≃ -5.5A + 77 gives the best fit, though separate determinations of A and B were not possible. Since this relationship is consistent with the real values known for the Sun (A ≃ 14.5, B ≃ -2.8), we may state that our analysis yielded satisfactory results. This consequence may provide the prospect of getting useful information on stellar rotation of eclipsing binaries from radial-velocity studies during eclipse, if many spectra of sufficiently high time-resolution are available. Title: Asteroseismic measurement of surface-to-core rotation in a main-sequence A star, KIC 11145123 Authors: Kurtz, Donald W.; Saio, Hideyuki; Takata, Masao; Shibahashi, Hiromoto; Murphy, Simon J.; Sekii, Takashi Bibcode: 2014MNRAS.444..102K Altcode: 2014arXiv1405.0155K We have discovered rotationally split core g-mode triplets and surface p-mode triplets and quintuplets in a terminal age main-sequence A star, KIC 11145123, that shows both δ Sct p-mode pulsations and γ Dor g-mode pulsations. This gives the first robust determination of the rotation of the deep core and surface of a main-sequence star, essentially model independently. We find its rotation to be nearly uniform with a period near 100 d, but we show with high confidence that the surface rotates slightly faster than the core. A strong angular momentum transfer mechanism must be operating to produce the nearly rigid rotation, and a mechanism other than viscosity must be operating to produce a more rapidly rotating surface than core. Our asteroseismic result, along with previous asteroseismic constraints on internal rotation in some B stars, and measurements of internal rotation in some subgiant, giant and white dwarf stars, has made angular momentum transport in stars throughout their lifetimes an observational science. Title: Avoided Crossing and Synchronization Authors: Sekii, T.; Shibahashi, H. Bibcode: 2013ASPC..479..573S Altcode: We examine avoided crossing of stellar pulsations in the nonlinear regime, where synchronization may occur, based on a simple model of weakly coupled van der Pol oscillators with close frequencies. For this simple case, avoided crossing is unaffected in the sense that there is a frequency difference between the symmetric and antisymmetric modes, but as a result of synchronization, unlike the linear oscillations case, the system can vibrate in only one of the modes. Title: A Statistical Study of Coronal Active Events in the North Polar Region Authors: Sako, Nobuharu; Shimojo, Masumi; Watanabe, Tetsuya; Sekii, Takashi Bibcode: 2013ApJ...775...22S Altcode: In order to study the relationship between characteristics of polar coronal active events and the magnetic environment in which such events take place, we analyze 526 X-ray jets and 1256 transient brightenings in the polar regions and in regions around the equatorial limbs. We calculate the occurrence rates of these polar coronal active events as a function of distance from the boundary of coronal holes, and find that most events in the polar quiet regions occur adjacent to and equatorward of the coronal hole boundaries, while events in the polar coronal holes occur uniformly within them. Based primarily on the background intensity, we define three categories of regions that produce activity: polar coronal holes, coronal hole boundary regions, and polar quiet regions. We then investigate the properties of the events produced in these regions. We find no significant differences in their characteristics, for example, length and lifetime, but there are differences in the occurrence rates. The mean occurrence rate of X-ray jets around the boundaries of coronal holes is higher than that in the polar quiet regions, equatorial quiet regions, and polar coronal holes. Furthermore, the mean occurrence rate of transient brightenings is also higher in these regions. We make comparison with the occurrence rates of emerging and canceling magnetic fields in the photosphere reported in previous studies, and find that they do not agree with the occurrence rates of transient brightenings found in this study. Title: Probing the Shallow Convection Zone: Rising Motion of Subsurface Magnetic Fields in the Solar Active Region Authors: Toriumi, Shin; Ilonidis, Stathis; Sekii, Takashi; Yokoyama, Takaaki Bibcode: 2013ApJ...770L..11T Altcode: 2013arXiv1305.3023T In this Letter, we present a seismological detection of a rising motion of magnetic flux in the shallow convection zone of the Sun, and show estimates of the emerging speed and its decelerating nature. In order to evaluate the speed of subsurface flux that creates an active region, we apply six Fourier filters to the Doppler data of NOAA AR 10488, observed with the Solar and Heliospheric Observatory/Michelson Doppler Imager, to detect the reduction of acoustic power at six different depths from -15 to -2 Mm. All the filtered acoustic powers show reductions, up to 2 hr before the magnetic flux first appears at the visible surface. The start times of these reductions show a rising trend with a gradual deceleration. The obtained velocity is first several km s-1 in a depth range of 15-10 Mm, then ~1.5 km s-1 at 10-5 Mm, and finally ~0.5 km s-1 at 5-2 Mm. If we assume that the power reduction is actually caused by the magnetic field, the velocity of the order of 1 km s-1 is well in accordance with previous observations and numerical studies. Moreover, the gradual deceleration strongly supports the theoretical model that the emerging flux slows down in the uppermost convection zone before it expands into the atmosphere to build an active region. Title: Helioseismic Detection of the Pre-emerging Magnetic Flux in the Shallow Convection Zone Authors: Toriumi, S.; Ilonidis, S.; Sekii, T.; Yokoyama, T. Bibcode: 2013enss.confE..25T Altcode: We detect the rising magnetic flux in the shallower convection zone of the Sun by observing acoustic power reduction, and evaluate its rising speed. Here we aim to reveal the rising speed of the magnetic flux in the shallow convection zone, before the active region are created. We apply six different Fourier filters to the Doppler data of NOAA AR 10488 taken by SOHO/MDI, to detect the reduction of acoustic power at six different depths from -15 to -2 Mm. The filtered powers show reductions before the start of flux appearance at the visible surface. The start times of these reductions show a rising trend, first at several km/s in a depth range of 15-10 Mm, then ∼1.5 km/s at 10-5 Mm, and finally at ∼0.5 km/s at 5-2 Mm. If we assume that the power reduction is actually caused by the rising magnetic flux, the rising rate of the order of 1 km/s is well in accordance with previous observations and numerical simulations. Moreover, the gradual deceleration supports our simulations and theoretical model that the rising flux slows down in the uppermost convection zone, just before its further emergence into the solar atmosphere. Title: Local-Helioseismology Study of Supergranulation in the Polar Region Authors: Nagashima, K.; Zhao, J.; Kosovichev, A. G.; Sekii, T. Bibcode: 2012ASPC..454...19N Altcode: Hinode/SOT data have been used to study supergranulation in the polar region. Although foreshortening generally makes it difficult to observe the polar region in detail, to partially overcome the difficulty we use the high-resolution Hinode/SOT observations of the polar regions during the period of the highest inclination of the solar axis to the ecliptic. By time-distance helioseismology we have found 'alignment' of the supergranular cells peculiar in the polar region.

This might be an indication of the giant-cell structure in the polar region. Title: The 3rd Hinode Science Meeting Authors: Sekii, T.; Watanabe, T.; Sakurai, T. Bibcode: 2012ASPC..454.....S Altcode: No abstract at ADS Title: Helioseismic Investigation of Sub-Photospheric Properties of a Coronal Hole Authors: Zharkov, S.; Harra, L. K.; Sekii, T. Bibcode: 2012ASPC..454...27Z Altcode: We present initial results of our investigation into sub-photospheric properties of an equatorial coronal hole obtained via helioseismic analysis using Hinode and MDI observational data. As at photospheric level coronal holes are characterised by open magnetic field we look for seismic signatures of such fields and compare those to the ones observed in plages. Title: Effects of Spectral Line Formation Height in Time-Distance Helioseismology Authors: Nagashima, K.; Parchevsky, K. V.; Zhao, J.; Duvall, T. L., Jr.; Kosovichev, A. G.; Sekii, T. Bibcode: 2012ASPC..456...57N Altcode: To understand the effect of the formation-height difference in time-distance helioseismology analyses, we consider the wave behavior above the surface. We show that by using the numerically-simulated wavefields at two different heights this difference may cause travel-time shifts due to the non-stationary character of waves excited by near-surface acoustic sources. This needs to be taken into account in multi-wavelength helioseismology and measurements close to the solar limb. Title: Links between photospheric and chromospheric oscillations Authors: Kosovichev, A. G.; Kitiashvili, I. N.; Mitra-Kraev, U.; Sekii, T. Bibcode: 2012decs.confE..97K Altcode: Oscillations excited by turbulent convection play important in the dynamics and energetics of the solar atmosphere. Oscillations below the acoustic cut-off frequency form photospheric resonant modes trapped in the interior but also penetrating into the chromosphere. Above the frequency cut-off, the oscillations represent traveling waves in the chromosphere that form pseudo-modes due to interference with waves coming from the interior. The physics of the chromospheric oscillations, their coupling to the photospheric oscillations, and their role in the chromospheric dynamics and energetics are not fully understood. The observed oscillation properties strongly depend on the excitation mechanism, interaction with turbulence and radiation, and local structure and dynamics of the chromosphere. Significant advances can be made through multi-wavelength observations of atmospheric oscillations and realistic numerical radiative hydrodynamics simulations. Using Hinode/SOT data we investigate the basic properties of solar oscillations observed at two levels in the solar atmosphere, in the G-band (formed in the photosphere) and in the CaII H line (chromospheric emission). We analyzed the data by calculating the individual power spectra as well as the cross-spectral properties, i.e., coherence and phase shift. The observational properties are compared with theoretical models and numerical simulations. The results reveal significant frequency shifts between the CaII H and G-band spectra, in particular above the acoustic cutoff frequency for pseudo-modes. The cross-spectrum phase shows peaks associated with the acoustic oscillation (p-mode) lines, and begins to increase with frequency around the acoustic cut-off. However, we find no phase shift for the (surface gravity wave) f-mode. The observed properties for the p-modes are qualitatively reproduced in a model that includes a correlated background due to radiative effects. Our results show that multi-wavelength observations of solar oscillations, in combination with radiative hydrodynamics modeling, help to understand the coupling between photospheric and chromospheric oscillations. Title: Measuring Acoustic Travel Times in Higher-Latitude Regions of the Sun using Hinode and SDO Data Authors: Nagashima, K.; Duvall, T.; Zhao, J.; Kosovichev, A. G.; Parchevsky, K.; Sekii, T. Bibcode: 2011AGUFMSH51B2016N Altcode: The interior structure and dynamics of the Sun can be probed by measuring and inverting travel times of acoustic waves, widely known as time-distance helioseismology. Recent high-resolution observations of solar oscillations with Hinode/SOT and SDO/HMI provide us with an opportunity to investigate the flow dynamics in higher-latitude regions of the Sun. Of particular interest is the meridional circulation flow, which is crucial for understanding the solar dynamo mechanism and predicting the solar activity cycles. We investigate systematic uncertainties of the travel times due to the center-to-limb variations, which may significantly affect the helioseismic inferences of the meridional flows. We present the results of analysis of the cross-correlations in the Doppler velocity, line core and intensity observations, and the corresponding travel-time fits for various positions on the solar disk. We discuss the origin of the center-to-limb variations, including the foreshortening effect, the difference in the line formation height, and other effects. For better understanding of the relative role of these effects we use 3D numerical simulations of solar oscillations in a realistic model of the Sun. Title: Global Helioseismology Authors: Sekii, Takashi Bibcode: 2011sdmi.confE..12S Altcode: Global helioseismology has been extremely successful in probing the solar interior. Unlike local helioseismology, which was more recently developed, global helioseismology relies on precise determination of eigenfrequencies and their inversions, which renders the global approach suited for measuring long-term averages of symmetric structures in the sun. Strengths and limitations of global helioseismology are discussed, as well as its main results and their impacts on our understanding of the sun. Title: Multi-wavelength time-distance helioseismology analyses Authors: Nagashima, Kaori; Zhao, Junwei; Duvall, Thomas, Jr.; Kosovichev, Alexander G.; Parchevsky, Konstantin; Sekii, Takashi Bibcode: 2011sdmi.confE..37N Altcode: Travel times of the acoustic waves in the Sun tell us the structure and the dynamics of the Sun. This information have been used to probe the solar interior. If we exploit multi-layer observation datasets, however, it will provide us with means to study the wave propagation between the layers as well (Nagashima et al. 2009). In this study, using multi-wavelength datasets obtained by Hinode/SOT, SDO/HMI, and SDO/AIA we calculate the cross-correlation function of the wavefield and carry out time-distance helioseismology analyses. Our preliminary results show that when we cross-correlate the wavefields of two different layers the cross-correlation functions between these layers are different from the cross-correlation functions of both single layers, and this provides us with an insight of wave propagation properties. We also use numerical simulations of solar oscillations to help interpret our observational results. Title: The SOLAR-C mission: current status Authors: Shimizu, Toshifumi; Tsuneta, Saku; Hara, Hirohisa; Ichimoto, Kiyoshi; Kusano, Kanya; Sakao, Taro; Sekii, Takashi; Suematsu, Yoshinori; Watanabe, Tetsuya Bibcode: 2011SPIE.8148E..0BS Altcode: 2011SPIE.8148E..10S Two mission concepts (plan A: out-of-ecliptic mission and plan B: high resolution spectroscopic mission) have been studied for the next Japanese-led solar mission Solar-C, which will follow the scientific success of the Hinode mission. The both mission concepts are concluded as equally important and attractive for the promotion of space solar physics. In the meantime we also had to make efforts for prioritizing the two options, in order to proceed to next stage of requesting the launch of Solar-C mission at the earliest opportunity. This paper briefly describes the two mission concepts and the current status on our efforts for prioritizing the two options. More details are also described for the plan B option as the first-priority Solar-C mission. The latest report from the Solar-C mission concept studies was documented as "Interim Report on the Solar-C Mission Concept." Title: Detection of Supergranulation Alignment in Polar Regions of the Sun by Helioseismology Authors: Nagashima, Kaori; Zhao, Junwei; Kosovichev, Alexander G.; Sekii, Takashi Bibcode: 2011ApJ...726L..17N Altcode: 2010arXiv1011.1025N We report on a new phenomenon of "alignment" of supergranulation cells in the polar regions of the Sun. Recent high-resolution data sets obtained by the Solar Optical Telescope on board the Hinode satellite enabled us to investigate supergranular structures in high-latitude regions of the Sun. We have carried out a local helioseismology time-distance analysis of the data and detected acoustic travel-time variations due to the supergranular flows. The supergranulation cells in both the north and south polar regions show systematic alignment patterns in the north-south direction. The south-pole data sets obtained in a month-long Hinode campaign indicate that the supergranulation alignment property may be quite common in the polar regions. We also discuss the latitudinal dependence of the supergranulation cell sizes; the data show that the east-west cell size decreases toward higher latitudes. Title: Helioseismology Study of Subsurface Dynamics in the Polar Regions of the Sun Authors: Nagashima, K.; Zhao, J.; Kosovichev, A. G.; Sekii, T. Bibcode: 2010AGUFM.S32A..03N Altcode: We report on our time-distance helioseismology study of the subsurface dynamics in the polar regions of the Sun. It is generally difficult to observe the polar regions in details because of severe foreshortening. The high-resolution data obtained by Solar Optical Telescope (SOT) onboard the Hinode satellite, however, enabled us to investigate dynamics in the regions with up to 80 degrees in latitude. The measurements are obtained by calculating the cross-covariance function of the random solar oscillations observed as fluctuations of intensity of the Ca II H line, and by fitting a Gabor-wavelet function for estimating the phase and group travel times of solar acoustic waves. We obtain the maps of subsurface velocity field by inverting the differences of the phase travel times, calculated for the cross-correlations with positive and negative lag times, using a ray-path approximation. Among the subsurface dynamical processes in the polar region, we focus on supergranulation in this study. Supergranules are thought to be one of convective cells in the convective envelope of the Sun. Typical temporal and spatial scales of supergranular cells are 1 day and 30 Mm, respectively. The supergranulation is considered to play important roles in the magnetic flux transport and formation of the magnetic network. However, we still do not have sufficient knowledge of their origin and properties. In our study, we have observed a curious alignment of the supergranular cells in the polar regions approximately in the North-South direction. The alignment was seen in both northern and southern polar regions. We discuss properties and temporal evolution of the supergranular structures in the region, as well as the possibilities of measuring the differential rotation and meridional flows in the polar regions, which are critical for the solar dynamo theories. Title: Supergranulation in the Polar Regions Observed by Hinode/SOT Authors: Nagashima, Kaori; Zhao, J.; Kosovichev, A.; Sekii, T. Bibcode: 2010AAS...21640002N Altcode: 2010BAAS...41..855N We report on our investigation of the supergranular structure in the polar regions of the Sun by local helioseismology. Supergranules represent large-scale convective cells: the horizontal spatial scale is about 30 Mm and the lifetime is about 1 day. They play important role in the magnetic flux transport and formation of the magnetic network. Recent helioseismological studies have found that the depth of the cells is much smaller than the horizontal scale, and that the supergranulation pattern exhibits a wave-like behavior. However, we still do not have sufficient knowledge of the origin and properties of the supergranulation. In this work, we have carried out a new time-distance helioseismology analysis using high-resolution datasets of the polar regions of the Sun obtained by the Solar Optical Telescope (SOT) onboard the Hinode satellite during the periods of the high inclination of the solar axis to the ecliptic. Because of the foreshortening such measurements are not currently possible with any other helioseismology instrument. We have measured the travel-time shifts of acoustic waves traveling to various depth below the photosphere, and obtain the subphotospheric horizontal flow maps by inversion. We have detected the supergranular cells in the polar regions and studied their properties. For comparison we did a similar analysis for low-latitude regions at the East limb of the Sun, and at the disk center. Comparing with the cells in the lower-latitude regions, we have observed a curious alignment of the cells in the polar regions, approximately in the North-South direction. This `alignment' has been found in both the North and the South polar regions. In the presentation, we discuss the alignment phenomenon as well as the physical properties of the supergranular cells in the polar regions. Title: The quest for the solar g modes Authors: Appourchaux, T.; Belkacem, K.; Broomhall, A. -M.; Chaplin, W. J.; Gough, D. O.; Houdek, G.; Provost, J.; Baudin, F.; Boumier, P.; Elsworth, Y.; García, R. A.; Andersen, B. N.; Finsterle, W.; Fröhlich, C.; Gabriel, A.; Grec, G.; Jiménez, A.; Kosovichev, A.; Sekii, T.; Toutain, T.; Turck-Chièze, S. Bibcode: 2010A&ARv..18..197A Altcode: 2010A&ARv.tmp....1A; 2009arXiv0910.0848A Solar gravity modes (or g modes)—oscillations of the solar interior on which buoyancy acts as the restoring force—have the potential to provide unprecedented inference on the structure and dynamics of the solar core, inference that is not possible with the well-observed acoustic modes (or p modes). The relative high amplitude of the g-mode eigenfunctions in the core and the evanesence of the modes in the convection zone make the modes particularly sensitive to the physical and dynamical conditions in the core. Owing to the existence of the convection zone, the g modes have very low amplitudes at photospheric levels, which makes the modes extremely hard to detect. In this article, we review the current state of play regarding attempts to detect g modes. We review the theory of g modes, including theoretical estimation of the g-mode frequencies, amplitudes and damping rates. Then we go on to discuss the techniques that have been used to try to detect g modes. We review results in the literature, and finish by looking to the future, and the potential advances that can be made—from both data and data-analysis perspectives—to give unambiguous detections of individual g modes. The review ends by concluding that, at the time of writing, there is indeed a consensus amongst the authors that there is currently no undisputed detection of solar g modes. Title: High-Resolution Helioseismic Imaging of Subsurface Structures and Flows of a Solar Active Region Observed by Hinode Authors: Zhao, Junwei; Kosovichev, Alexander G.; Sekii, Takashi Bibcode: 2010ApJ...708..304Z Altcode: 2009arXiv0911.1161Z We analyze a solar active region observed by the Hinode Ca II H line using the time-distance helioseismology technique, and infer wave-speed perturbation structures and flow fields beneath the active region with a high spatial resolution. The general subsurface wave-speed structure is similar to the previous results obtained from Solar and Heliospheric Observatory/Michelson Doppler Imager observations. The general subsurface flow structure is also similar, and the downward flows beneath the sunspot and the mass circulations around the sunspot are clearly resolved. Below the sunspot, some organized divergent flow cells are observed, and these structures may indicate the existence of mesoscale convective motions. Near the light bridge inside the sunspot, hotter plasma is found beneath, and flows divergent from this area are observed. The Hinode data also allow us to investigate potential uncertainties caused by the use of phase-speed filter for short travel distances. Comparing the measurements with and without the phase-speed filtering, we find out that inside the sunspot, mean acoustic travel times are in basic agreement, but the values are underestimated by a factor of 20%-40% inside the sunspot umbra for measurements with the filtering. The initial acoustic tomography results from Hinode show a great potential of using high-resolution observations for probing the internal structure and dynamics of sunspots. Title: Recent Progress and Future Directions for Helioseismology Authors: Kosovichev, A.; Zhao, J.; Sekii, T.; Nagashima, K.; Mitra-Kraev, U. Bibcode: 2009ASPC..415..399K Altcode: Hinode/SOT observations provide unique data for high-resolution helioseismology. These data have allowed us for the first time to resolve the subsurface convective boundary layer, obtain high-resolution images of structures and mass flows beneath a sunspot, detect flare-generated MHD waves in the sunspot umbra, carry out multi-wavelength studies of solar oscillations, and obtain unique helioseismic data for probing the subsurface dynamics in near-polar regions. Future directions in helioseismology will be focused on understanding the mechanism of solar dynamo, diagnostics of emerging magnetic flux, formation and evolution of sunspot regions and their flaring activity. Of particular interest are investigations of solar convection dynamics, differential rotation and meridional flows in the near polar regions. These tasks require development of new helioseismology methods for probing conditions in strong magnetic field regions and improving temporal and spatial resolutions. The new developments in helioseismology will be supported by realistic MHD simulations and based on massive data analysis from Hinode and Solar Dynamics Observatory. Title: Travel-Time Analyses of an Emerging-Flux Region Authors: Nagashima, K.; Sekii, T.; Kosovichev, A. G.; Zhao, J.; Tarbell, T. D. Bibcode: 2009ASPC..415..417N Altcode: Travel-time analyses of a newly-formed plage region are presented. The dataset has been obtained from the 12-hr Hinode observation of an emerging-flux region (to be NOAA AR 10975) close to the disc center on 23 November 2007. The SOT provides data in Ca II H line and in Fe I 557.6nm line; we use both chromospheric intensity oscillation data and photospheric Dopplergrams for travel-time measurement by a cross-correlation method. In the plage region, we have detected a travel-time anomaly in the chromospheric data, but not in the photospheric data. This can be interpreted as a signature of downflows in the chromosphere. This result illustrates how time-distance techniques can be used to study chromospheric flows. Title: Hinode/SOT Helioseismic Observations Authors: Sekii, T. Bibcode: 2009ASPC..415..405S Altcode: Helioseismic observations by the Hinode Solar Optical Telescope (SOT) are reviewed. The benefit of the SOT high-resolution capability for local helioseismology has already been demonstrated in mapping subsurface flows and {revealing the fine structure of umbral flashes}. The phase relations between the photospheric and the chromospheric oscillations in the sub-critical frequency range are also discussed, as are possible future directions of the SOT helioseismology programme. Title: New Results of High-Resolution Helioseismology from Hinode Authors: Kosovichev, A.; Zhao, J.; Sekii, T.; Nagashima, K.; Mitra-Kraev, U. Bibcode: 2009ASPC..416...41K Altcode: The Solar Optical Telescope of Hinode provides unique multi-wavelength high-resolution data for local helioseismic diagnostics of the sub-surface structure and dynamics of the Sun. The helioseismology data from Hinode have allowed us for the first time to observe oscillations of very high angular degree and high frequencies, and substantially improve the spatial resolution of time-distance helioseismology in near-surface layers of the Sun, compared to the previous SOHO/MDI data. The Hinode data have also provided important insight on the nature of sunspot oscillations, and the correlated component of stochastic excitation. Initial attempts have been made to investigate the dynamics of the polar regions, critical for dynamo modeling, but previously unaccessible for helioseismology. In addition, a new type of flare-excited MHD oscillations was detected from Hinode observations of the solar flare of December 13, 2006. Title: Subsurface Structures and Flow Fields of an Active Region Observed by Hinode Authors: Zhao, J.; Kosovichev, A. G.; Sekii, T. Bibcode: 2009ASPC..415..411Z Altcode: We analyze a solar active region observed by Hinode Ca II H line using the time-distance helioseismology technique, and derive the subsurface structure and flow fields of this active region. The basic subsurface wave speed structure is essentially the same as the previous results obtained from MDI observations. The subsurface flow structure is also similar to the previous results, but the downward flows are more resolved. Additionally, vertical mass circulations outside the sunspot are more clearly detected, although no mass conservation constraints are imposed in the inversion procedure. Near a light bridge area, hotter plasma is found beneath, and flows divergent from this area are observed. Inside the sunspot umbra and penumbra, some organized divergent flow cells of an intermediate size between granulation and supergranulation are also observed. These initial results demonstrate the potential and importance of high-resolution helioseismology of sunspots. Title: Subsurface Flows in Solar Active Regions and Polar Areas from Hinode Observations Authors: Zhao, Junwei; Kosovichev, A. G.; Sekii, T. Bibcode: 2009SPD....40.0706Z Altcode: High-resolution observations of Ca II H line intensity made by Hinode have provided us an opportunity to study subsurface flow fields of solar active regions with an unprecedented high spatial resolution, and a possibility to study subsurface meridional flows in the solar polar areas. For a large active region, we have found a strong downdraft below the sunspot, a mass circulation around the spot, and an evidence of magnetoconvection beneath the strong field area. For the polar regions, we have been able to derive a poleward meridional flow of an order of 5 m/s for the first time using the time-distance helioseismology technique. Title: Helioseismic Signature of Chromospheric Downflows in Acoustic Travel-Time Measurements From Hinode Authors: Nagashima, Kaori; Sekii, Takashi; Kosovichev, Alexander G.; Zhao, Junwei; Tarbell, Theodore D. Bibcode: 2009ApJ...694L.115N Altcode: 2009arXiv0903.1323N We report on a signature of chromospheric downflows in two emerging flux regions detected by time-distance helioseismology analysis. We use both chromospheric intensity oscillation data in the Ca II H line and photospheric Dopplergrams in the Fe I 557.6 nm line obtained by Hinode/SOT for our analyses. By cross-correlating the Ca II oscillation signals, we have detected a travel-time anomaly in the plage regions; outward travel times are shorter than inward travel times by 0.5-1 minute. However, such an anomaly is absent in the Fe I data. These results can be interpreted as evidence of downflows in the lower chromosphere. The downflow speed is estimated to be below 10 km s-1. This result demonstrates a new possibility of studying chromospheric flows by time-distance analysis. Title: Solar Dynamo and Magnetic Self-Organization Authors: Kosovichev, A. G.; Arlt, R.; Bonanno, A.; Brandenburg, A.; Brun, A. S.; Busse, F.; Dikpati, M.; Hill, F.; Gilman, P. A.; Nordlund, A.; Ruediger, G.; Stein, R. F.; Sekii, T.; Stenflo, J. O.; Ulrich, R. K.; Zhao, J. Bibcode: 2009astro2010S.160K Altcode: No abstract at ADS Title: High-Resolution Helioseismology from Hinode Authors: Kosovichev, A. G.; Zhao, J.; Sekii, T.; Nagashima, K.; Mitra-Kraev, U. Bibcode: 2008AGUFMSH41B1627K Altcode: The Solar Optical Telescope (SOT) on the Hinode space mission provides unique multi-wavelength high-resolution data for local helioseismic diagnostics of the sub-photospheric structure and dynamics of the Sun. The helioseismology data from Hinode have allowed us for the first time to observe oscillations of very high angular degree and high frequencies. The Hinde data provide a potential for substantial improvement of the spatial resolution of time-distance helioseismology in near-surface layers of the Sun, compared to the previous SOHO/MDI data. The Hinode data have also provided important insight in the nature of sunspot oscillations. Simultaneous observations of solar oscillations in two different spectral interval have allowed us to investigate the mode physics and the correlated component of stochastic excitation. In addition, a new type of flare-excited MHD oscillations was detected from Hinode observations of the solar flare of December 13, 2006. Title: Helioseismic Measurement of Subsurface Flows at Solar High Latitude Authors: Zhao, J.; Kosovichev, A. G.; Sekii, T. Bibcode: 2008AGUFMSH44A..03Z Altcode: The solar polar magnetic field is of great interest as it is where solar magnetic field reversal starts. Surface and subsurface plasma flows are very important in understanding the field reversal because magnetic field flux is transported to solar high latitude from lower latitude according to flux transport theory. Local helioseismology has been able to derive subsurface flow fields, rotation rates, and meridional flows up to 30 Mm in depth. The results obtained by time-distance helioseismology during Solar Cycle 23 from SOHO/MDI have also revealed significant changes of the speed and the longitudinal structure of the flows. We used these measurements to compare with the magnetic flux transport determined from the magnetic field synoptic data. Furthermore, by use of MDI dynamic campaign observations and a recent high resolution observation of solar South Pole by Hinode, we explore the possibility to detect subsurface flow fields in solar high latitude. Title: AsteroFLAG — from the Sun to the stars Authors: Chaplin, W. J.; Appourchaux, T.; Arentoft, T.; Ballot, J.; Baudin, F.; Bazot, M.; Bedding, T. R.; Christensen-Dalsgaard, J.; Creevey, O. L.; Duez, V.; Elsworth, Y.; Fletcher, S. T.; García, R. A.; Gough, D. O.; Jiménez, A.; Jiménez-Reyes, S. J.; Houdek, G.; Kjeldsen, H.; Lazrek, M.; Leibacher, J. W.; Monteiro, M. J. P. F. G.; Neiner, C.; New, R.; Régulo, C.; Salabert, D.; Samadi, R.; Sekii, T.; Sousa, S. G.; Toutain, T.; Turck-Chièze, S. Bibcode: 2008JPhCS.118a2048C Altcode: We stand on the threshold of a critical expansion of asteroseismology of Sun-like stars, the study of stellar interiors by observation and analysis of their global acoustic modes of oscillation. The Sun-like oscillations give a very rich spectrum allowing the internal structure and dynamics to be probed down into the stellar cores to very high precision. Asteroseismic observations of many stars will allow multiple-point tests of crucial aspects of stellar evolution and dynamo theory. The aims of the asteroFLAG collaboration are to help the community to refine existing, and to develop new, methods for analysis of the asteroseismic data on the Sun-like oscillators. Title: Loop Morphology and Flows and their Relation to the Magnetic Field Authors: Teriaca, L.; Wiegelmann, T.; Lagg, A.; Solanki, S. K.; Curdt, W.; Sekii, T. Bibcode: 2008ASPC..397..196T Altcode: In November 2006 we obtained several rasters of a large sunspot and its trailing region using the SUMER spectrometer on SOHO. The observations consist of spectroheliograms in the continuum around 142 nm and in several spectral lines formed between 80000 K and 0.6 MK, covering the temperature range from the chromosphere to the lower corona. The observed profiles provide LOS velocity and Doppler width maps. TRACE images in the EUV passbands and in the 160 nm continuum provide a clear picture of the coronal loops and the chromosphere near their footpoints. The same target was also observed by all the instruments aboard Hinode and, in particular, by the SOT spectro-polarimeter measuring the photospheric magnetic vector. We combined SOT and MDI data (covering a larger FOV) to infer the coronal magnetic field of the active region by a nonlinear force-free field extrapolation. The observed radiance and velocity patterns at the various heights/temperatures throughout the solar atmosphere are compared with the field topology. Title: AsteroFLAG: First results from hare-and-hounds Exercise #1 Authors: Chaplin, W. J.; Appourchaux, T.; Arentoft, T.; Ballot, J.; Christensen-Dalsgaard, J.; Creevey, O. L.; Elsworth, Y.; Fletcher, S. T.; García, R. A.; Houdek, G.; Jiménez-Reyes, S. J.; Kjeldsen, H.; New, R.; Régulo, C.; Salabert, D.; Sekii, T.; Sousa, S. G.; Toutain, T.; rest of asteroFLAG Group Bibcode: 2008AN....329..549C Altcode: 2008arXiv0803.4143C We report on initial results from the first phase of Exercise #1 of the asteroFLAG hare and hounds. The asteroFLAG group is helping to prepare for the asteroseismology component of NASA's Kepler mission, and the first phase of Exercise #1 is concerned with testing extraction of estimates of the large and small frequency spacings of the low-degree p modes from Kepler-like artificial data. These seismic frequency spacings will provide key input for complementing the exoplanet search data. Title: Initial Helioseismology Results from Hinode Authors: Kosovichev, A.; Zhao, J.; Sekii, T.; Nagashima, K. Bibcode: 2008AGUSMSP21A..01K Altcode: Solar Optical Telescope of Hinode provides unique multi-wavelength high-resolution data for local helioseismic diagnostics of the sub-surface structure and dynamics of the Sun. The helioseismology data from Hinode have allowed us for the first time to observe oscillations of very high angular degree and high frequencies, and substantially improve the spatial resolution of time-distance helioseismology in near-surface layers of the Sun, compared to the previous SOHO/MDI data. The Hinode data have also provided important insight in the nature of sunspot oscillations. Initial attempts have been made to investigate the dynamics of the polar regions, previously unaccessible for helioseismology. We present the first results and discuss the potential and perspective of the Hinode helioseismology program. Title: First Detection of MHD Oscillations Excited by Solar Flare in Sunspot Umbra Authors: Kosovichev, A.; Sekii, T. Bibcode: 2008AGUSMSP21B..07K Altcode: We report on detection of a new type of flare-excited oscillations from Hinode observations of the solar flare of December 13, 2006. The oscillations observed in Ca II H images appeared in the sunspot umbra immediately after the impulsive phase of the flare. They had the amplitude 2-4 times larger than the pre-flare oscillations in the umbra. Also, their frequency seemed to be higher. There is an evidence that during the first 30-40 min the oscillations represent waves traveling through the umbra in the direction away from the flare ribbon with a speed of 50-100 km/s. Then, the oscillation become more irregular with some occasional wave packets. The lifetime of these oscillations is probable about 8 hours. The estimated speed indicates that the waves are of an MHD type, and if their speed is of the order of magnitude of the Alfven speed then they should propagate rather low in the sunspot chromosphere. Sunspot oscillations have been studied intensively for many years but the Hinode observations are the first that show enhanced oscillations in the umbra, associated with a solar flare. Further investigations of these oscillations are of great interest for understanding the processes in solar flares and sunspots. Title: Properties of high-degree oscillation modes of the Sun observed with Hinode/SOT Authors: Mitra-Kraev, U.; Kosovichev, A. G.; Sekii, T. Bibcode: 2008A&A...481L...1M Altcode: 2007arXiv0711.2210M Aims:With the Solar Optical Telescope on Hinode, we investigate the basic properties of high-degree solar oscillations observed at two levels in the solar atmosphere, in the G-band (formed in the photosphere) and in the Ca II H line (chromospheric emission).
Methods: We analyzed the data by calculating the individual power spectra as well as the cross-spectral properties, i.e., coherence and phase shift. The observational properties are compared with a simple theoretical model, which includes the effects of correlated noise.
Results: The results reveal significant frequency shifts between the Ca II H and G-band spectra, in particular above the acoustic cut-off frequency for pseudo-modes. The cross-spectrum phase shows peaks associated with the acoustic oscillation (p-mode) lines, and begins to increase with frequency around the acoustic cut-off. However, we find no phase shift for the (surface gravity wave) f-mode. The observed properties for the p-modes are qualitatively reproduced in a simple model with a correlated background if the correlated noise level in the Ca II H data is higher than in the G-band data. These results suggest that multi-wavelength observations of solar oscillations, in combination with the traditional intensity-velocity observations, may help to determine the level of the correlated background noise and to determine the type of wave excitation sources on the Sun. Title: Development of Iodine Cells for Subaru HDS and Okayama HIDES. III. An Improvement on the Radial-Velocity Measurement Technique Authors: Kambe, Eiji; Ando, Hiroyasu; Sato, Bun'ei; Izumiura, Hideyuki; Sekii, Takashi; Paulson, Daine B.; Yanagisawa, Kenshi; Masuda, Seiji; Shibahashi, Hiromoto; Hatzes, Artie P.; Martic, Milena; Lebrun, Jean-Claude; Mkrtichian, David E.; Kiss, Laszlo L.; Bruntt, Hans; O'Toole, Simon J.; Bedding, Timothy R. Bibcode: 2008PASJ...60...45K Altcode: An improvement of the radial-velocity measurement accuracy is crucial for the detection of tiny stellar oscillations and exoplanets. Through the analysis of week-long extensive observations of solar-type stars (Procyon in 2000, 2002, and 2006/2007 and τ Cet in 2002 and 2006/2007), we have carefully examined, revised, and finely tuned the widely used multiple Gaussian IP fitting method for the spectrograph, HIDES. By determining a necessary and sufficient number of free parameters in the model as well as introducing an iterative process in the radial-velocity analysis, we can reach a precision of below 3ms-1, which is much smaller than the precision of 6ms-1 officially announced so far for HIDES. We also make our technique refined for the 2002 McDonald Procyon data. Even with our revised method, slow radial velocity variations with an amplitude of about 10ms-1 are left in the Procyon data. We emphasize that it is neither due to particular observing instruments nor radial-velocity analysis, and thus could be due to stellar origin. The analysis presented here makes the foundations of our next scientific analysis of the radial-velocity variations of Procyon, which will be presented in our forthcoming papers. Title: Hinode SOT observations of plume upflows and cascading downflows in quiescent solar prominences Authors: Berger, T.; Shine, R.; Slater, G.; Tarbell, T.; Title, A.; Lites, B.; Tsuneta, S.; Okamoto, T. J.; Ichimoto, K.; Katsukawa, Y.; Sekii, T.; Suematsu, Y.; Shimizu, T. Bibcode: 2007AGUFMSH53A1065B Altcode: We present several Hinode SOT filtergram movies of quiescent solar prominences that show newly discovered "plume-like" upflows and cascading "waterfall-like" downflows that persist for the entire multi-hour duration of the observations. The flow speeds are on the order of 10 km/sec with typical widths of 400-700 km. Preliminary calculations show that if the upflows are buoyancy driven, the associated thermal perturbation is on the order of 10,000 K, sufficient to explain the dark appearance of the upflows in the interference filter passbands. In addition we observe rotational vortices and body oscillations within the prominences. These new observations challenge current magnetostatic models of solar prominences by showing that prominence plasmas are in constant motion, often in directions perpendicular to the magnetic field lines proposed by the models. TRACE, Hinode/EIS, and Hinode/XRT observations are used to investigate the differential topology of the flows across temperature regimes. Title: Initial Observations of Sunspot Oscillations Excited by Solar Flare Authors: Kosovichev, A. G.; Sekii, T. Bibcode: 2007ApJ...670L.147K Altcode: 2007arXiv0710.1808K Observations of a large solar flare on 2006 December 13 using Solar Optical Telescope (SOT) on board the Hinode spacecraft revealed high-frequency oscillations excited by the flare in the sunspot chromosphere. These oscillations are observed in the region of strong magnetic field of the sunspot umbra and may provide a new diagnostic tool for probing the structure of sunspots and understanding physical processes in solar flares. Title: Initial Helioseismic Observations by Hinode/SOT Authors: Sekii, Takashi; Kosovichev, Alexander G.; Zhao, Junwei; Tsuneta, Saku; Shibahashi, Hiromoto; Berger, Thomas E.; Ichimoto, Kiyoshi; Katsukawa, Yukio; Lites, Bruce; Nagata, Shin'ichi; Shimizu, Toshifumi; Shine, Richard A.; Suematsu, Yoshinori; Tarbell, Theodore D.; Title, Alan M. Bibcode: 2007PASJ...59S.637S Altcode: 2007arXiv0709.1806S Results from initial helioseismic observations by the Solar Optical Telescope on-board Hinode are reported. It has been demonstrated that intensity oscillation data from the Broadband Filter Imager can be used for various helioseismic analyses. The k - ω power spectra, as well as the corresponding time-distance cross-correlation function, which promise high-resolution time-distance analysis below the 6-Mm travelling distance, were obtained for G-band and CaII-H data. Subsurface supergranular patterns were observed from our first time-distance analysis. The results show that the solar oscillation spectrum is extended to much higher frequencies and wavenumbers, and the time-distance diagram is extended to much shorter travel distances and times than were observed before, thus revealing great potential for high-resolution helioseismic observations from Hinode. Title: Observations of Sunspot Oscillations in G Band and CaII H Line with Solar Optical Telescope on Hinode Authors: Nagashima, Kaori; Sekii, Takashi; Kosovichev, Alexander G.; Shibahashi, Hiromoto; Tsuneta, Saku; Ichimoto, Kiyoshi; Katsukawa, Yukio; Lites, Bruce; Nagata, Shin'ichi; Shimizu, Toshifumi; Shine, Richard A.; Suematsu, Yoshinori; Tarbell, Theodore D.; Title, Alan M. Bibcode: 2007PASJ...59S.631N Altcode: 2007arXiv0709.0569N Exploiting high-resolution observations made by the Solar Optical Telescope on board Hinode, we investigate the spatial distribution of the power spectral density of the oscillatory signal in and around the active region NOAA 10935. The G-band data show that in the umbra the oscillatory power is suppressed in all frequency ranges. On the other hand, in CaII H intensity maps oscillations in the umbra, so-called umbral flashes, are clearly seen with the power peaking around 5.5mHz. The CaII H power distribution shows the enhanced elements with the spatial scale of the umbral flashes over most of the umbra, but there is a region with suppressed power at the center of the umbra. The origin and property of this node-like feature remain unexplained. Title: Calibration of SOT Dopplergrams Authors: Katsukawa, Y.; Ichimoto, K.; Sekii, T.; Suematsu, Y.; Tsuneta, S.; Shine, R. A.; Tarbell, T. D. Bibcode: 2007ASPC..369...43K Altcode: Narrow-band Filter Imager on SOT provides Dopplergrams (DGs) which are images of Doppler (line- of-sight) velocities. Observations with DGs are critically important in studies of photospheric dynamics and helioseismology. The primary photospheric line used for DGs is Fe I 5576 Å which is a line insensitive to Zeeman effect. We made a calibration function for the 5576 Å DGs to get actual Doppler velocities from velocity indexes using an atlas spectrum and simulated transmission profiles for the tunable filter (TF) on SOT. Using data sets taken in the natural sun-light test, we quantitatively evaluated accuracy of the DGs by comparing the rotational speed of the Sun measured with DGs with the expected one. There was a little systematic error in the velocity obtained by SOT, but the error was less than 20 % of the predicted velocities. Title: Distribution of MDI p-mode power correlation coefficients Authors: Y Chang, H.; Sekii, T. Bibcode: 2006ESASP.624E.132Y Altcode: 2006soho...18E.132Y No abstract at ADS Title: The internal structure of the Sun inferred from g modes and low-frequency p modes Authors: Elsworth, Y. P.; Baudin, F.; Chaplin, W; Andersen, B; Appourchaux, T.; Boumier, P.; Broomhall, A. -M.; Corbard, T.; Finsterle, W.; Fröhlich, C.; Gabriel, A.; García, R. A.; Gough, D. O.; Grec, G.; Jiménez, A.; Kosovichev, A.; Provost, J.; Sekii, T.; Toutain, T.; Turck-Chièze, S. Bibcode: 2006ESASP.624E..22E Altcode: 2006soho...18E..22E The Phoebus group is an international collaboration of helioseismologists, its aim being to detect low-frequency solar g modes. Here, we report on recent work, including the development and application of new techniques based on the detection of coincidences in contemporaneous datasets and the asymptotic properties of the g-mode frequencies. The length of the time series available to the community is now more than ten years, and this has reduced significantly the upper detection limits on the g-mode amplitudes. Furthermore, low-degree p modes can now be detected clearly at frequencies below 1000 μHz. Title: Rotation inversions of artificial solarFLAG Sun-as-a-star data Authors: Chaplin, W. J.; Sekii, T.; Appourchaux, T.; Baudin, F.; Boumier, P.; Corbard, T.; Elsworth, Y.; Fletcher, S. T.; Garcia, R. A.; Jiménez-Reyes, S. J.; Lazrek, M.; New, R.; Salabert, D.; Toutain, T.; Wachter, R. Bibcode: 2006ESASP.624E..82C Altcode: 2006soho...18E..82C No abstract at ADS Title: Recent Progresses on g-Mode Search Authors: Appourchaux, T.; Andersen, B.; Baudin, F.; Boumier, P.; Broomhall, A. -M.; Chaplin, W.; Corbard, T.; Elsworth, Y.; Finsterle, W.; Fröhlich, C.; Gabriel, A.; Garcia, R.; Gough, D. O.; Grec, G.; Jiménez, A.; Kosovichev, A.; Provost, J.; Sekii, T.; Toutain, T.; Turck-Chièze, S. Bibcode: 2006ESASP.617E...2A Altcode: 2006soho...17E...2A No abstract at ADS Title: Seismology of Solar Internal Rotation Authors: Sekii, Takashi Bibcode: 2005HiA....13..424S Altcode: Helioseismologists have been highly successful in revealing how the solar interior differentially rotates through observations of rotationally split eigen p modes of the sun. What we currently know about the internal rotation of the sun including how it varies over the solar cycle is reviewed. Seismic inference of internal rotation based on low-degree modes is also discussed. Title: Annual Report of the National Astronomical Observatory of Japan, Volume 7 Fiscal 2004 Authors: Tanikawa, Kiyotaka; Imanishi, Masatoshi; Ueda, Akitoshi; Oe, Masafumi; Sekii, Takashi; Sôma, Mitsuru; Miyoshi, Makoto; Yamashita, Yoshiko Bibcode: 2005ARAOJ...7.....T Altcode: No abstract at ADS Title: Annual Report of the National Astronomical Observatory of Japan, Volume 6 Fiscal 2003 Authors: Tanikawa, Kiyotaka; Imanishi, Masatoshi; Ueda, Akitoshi; Oe, Masashi; Sekii, Takashi; Sôma, Mitsuru; Miyoshi, Makoto; Yamashita, Yoshiko Bibcode: 2005naoj.book.....T Altcode: No abstract at ADS Title: On the detectability of a rotation-rate gradient in the solar core Authors: Chaplin, W. J.; Sekii, T.; Elsworth, Y.; Gough, D. O. Bibcode: 2004MNRAS.355..535C Altcode: 2004MNRAS.tmp..451C We consider the problem of uncovering a possible gradient of rotation in the solar core using seismic frequency splittings of low-degree p-modes. The data are presumed to come from full-disc observations of the Sun. In particular, we formulate an approach for determining the diagnostic potential of a low-l splitting set to uncover, by inversion, a difference in rotation between two target radii: one deep in the core, the other in the mid-regions of the radiative zone. Our formulation assumes the underlying rotation rate to be flat in the outer part of the zone, but to vary linearly in the core (with the breakpoint in behaviour located between the two target radii). Artificial data are used to test the formulation, and to investigate the relative importance at low l of deeply penetrating, high-order modes and relatively shallow, low-order modes. Our results suggest that in order to detect a significant difference between the rotation at r= 0.1R and 0.35R- with the input splitting data coming from a 10-yr set of high-quality observations - that difference would need to be a significant fraction of the rotation rate itself. Title: SOT Local-Helioseismology Programme Authors: Sekii, T. Bibcode: 2004ASPC..325...87S Altcode: Local helioseismology is proving to be a powerful tool in revealing small-scale flow and inhomogeneity in subsurface layers. The Solar Optical Telescope (SOT) onboard SolarB is capable of producing high-resolution Doppler-grams that can be used for this new method of helioseismology. It is reviewed and discussed what can be learned from SOT local helioseismology, as well as what should be done for a successful programme. Title: The Solar-B Mission and the Forefront of Solar Physics Authors: Sakurai, T.; Sekii, T. Bibcode: 2004ASPC..325.....S Altcode: No abstract at ADS Title: An Alternative Interpretation of the Double-Ridge Structure in the - Frequency Time-Distance Autocorrelation Function? Authors: Sekii, T.; Shibahashi, H.; Jefferies, S. M. Bibcode: 2004ESASP.559..619S Altcode: 2004soho...14..619S No abstract at ADS Title: Helioseismic measurement of solar rotation Authors: Sekii, Takashi Bibcode: 2004ceme.symp...25S Altcode: Helioseismology has been successful in investigating the otherwise invisible solar interior, and one of its greatest success is in revealing how the interior of the sun rotates. It is briefly reviewed how this is done, what we have learnt, and what they imply. Title: Annual Report of the National Astronomical Observatory of Japan, Volume 5 Fiscal 2002 Authors: Tanikawa, Kiyotaka; Imanishi, Masatoshi; Miyoshi, Makoto; Muramatsu, Toshiya; Sekii, Takashi; Sôma, Mitsuru; Ueda, Akitoshi; Yamashita, Yoshiko; Yasuda, Naoki Bibcode: 2004naoj.book.....T Altcode: No abstract at ADS Title: Autocorrelation analysis of MDI high-frequency data Authors: Sekii, T.; Shibahashi, H.; Kosovichev, A. G. Bibcode: 2003ESASP.517..385S Altcode: 2003soho...12..385S We have analyzed MDI data using time-distance autocorrelation function, in a high-frequency range above the acoustic cut-off frequency of the solar atmosphere. The MDI velocity, intensity and line-depth signals were looked at. The wave reflection rate at the photosphere has been found to be around 10 per cent for l = 125 and ν = 6.75mHz. The result is compared with a previous measurement. Title: On averaged time-distance autocorrelation diagrams Authors: Sekii, T.; Shibahashi, H. Bibcode: 2003ESASP.517..389S Altcode: 2003soho...12..389S To calculate time-distance autocorrelation for local-helioseismic analyses, the correlation function is often put in a form which permits application of the convolution theorem so that CPU-intensive direct integration is alleviated. It is normally justified by a statistical argument with a certain assumption on properties of power distribution of the wavefield; the results are then interpreted as ensemble averages of the autocorrelation. However, the same results can also be obtained by taking spatial averages without any assumption on the power distribution, thereby providing a different interpretation to the results obtained through convolution theorem. It is straightforward to demonstrate the above in the case of wavefield in infinite two-dimensional space. Here we present a direct demonstration of the same equivalence of the averages in the case of spherical geometry, which has turned out to be less straightforward. Title: Annual Report of the National Astronomical Observatory of Japan, Volume 4 Fiscal 2001 Authors: Tanikawa, Kiyotaka; Honma, Mareki; Imanishi, Masatoshi; Kuno, Nario; Muramatsu, Toshiya; Sekii, Takashi; Sôma, Mitsuru; Yamashita, Yoshiko; Yasuda, Naoki Bibcode: 2003naoj.book.....T Altcode: No abstract at ADS Title: Seismology of solar rotation Authors: Sekii, Takashi Bibcode: 2003safd.book..263S Altcode: Helioseismology provides us with means to investigate the otherwise invisible solar interior. The seismic approach is indispensable for the study of internal structure and evolution of the sun. It is even more so, however, for the study of dynamical aspects of the sun, because of the lack of other reliable means. The current status of seismology of solar rotation is reviewed and outstanding problems are discussed. Title: Seismology of Solar Internal Rotation Authors: Sekii, Takashi Bibcode: 2003IAUJD..12E..36S Altcode: Helioseismologists have been highly successful in revealing how the solar interior differentially rotates through observations of rotationally split eigen p modes of the sun. What we currently know about the internal rotation of the sun including how it varies over the solar cycle is reviewed. Seismic inference of internal rotation based on low-degree modes is also discussed. Title: Acoustic Tomography of the Sun's Interior with SDO: Possibilities and Limitations Authors: Kosovichev, A. G.; Duvall, T. L.; Birch, A. C.; Gizon, L.; Zhao, J.; Sekii, T.; Shibahashi, H. Bibcode: 2002AGUFMSH21C..06K Altcode: Helioseismic and Magnetic Imager on board SDO will significantly expand the possibilities for imaging plasma flows and structures in the solar interior. It will provide for the first time high-resolution data for continuous monitoring of emerging flux and developing active regions in the upper convection zone. It will also allow us to look for localized structures and flows in the tachocline region and deeper interior, and also investigate the near-polar regions. The expected results may give important clues of how the solar dynamo works and active regions develop. HMI will observe the entire spectrum of the solar acoustic and surface gravity waves, and provide the most comprehensive data for global and local helioseismology. The high-frequency part of the oscillation spectrum will be used for studying seismic properties of the solar atmosphere in the quiet Sun and active regions. The method of acoustic tomography or time-distance helioseismology is one of the primary tools of the HMI investigation. It is based on measurements and inversions of travel-time delays of solar waves, caused by plasma flows and variations of temperature and magnetic field. The data analysis requires deep understanding of the physics of wave propagation in the Sun and substantial computer resources. One of the important goals is to provide the flow and sound-speed maps of the upper convection zone in near-real time for space weather applications. We present the current status of the field, and discuss plans and challenges for the HMI data analyses and interpretation. Title: On the effect of error correlation on linear inversions Authors: Gough, D. O.; Sekii, T. Bibcode: 2002MNRAS.335..170G Altcode: We have examined the effect on linear helioseismic inversions of correlations in data errors, taking an example from one-dimensional rotational splitting inversion. Artificial data with correlated errors were generated and then inverted with or without using the proper covariance matrix. The effects of using incorrect covariance matrices, on solutions as well as on trade-offs, are discussed. It is found that improper account of the correlations can be deleterious to the faithfulness of the inversions, and yields incorrect error estimates, which under some circumstances can lead to misleading inferences. Title: What have we learnt with the Luminosity Oscillations Imager over the past 6 years? Authors: Appourchaux, T.; Andersen, B.; Sekii, T. Bibcode: 2002ESASP.508...47A Altcode: 2002soho...11...47A We summarize what we achieved with 6 years of LOI data. We present old as well as new results regarding the p-mode parameters dependence upon solar activity. We have also derived the dependence of the solar background noise upon solar activity and solar disk position. Inversions done using LOI frequencies and higher-degree mode frequencies from GONG confirm previous velocity inversions. Title: Local-area helioseismology by SOT on-board Solar-B Authors: Sekii, T.; Shibahashi, H.; Kosovichev, A. G.; Duvall, T. L., Jr.; Berger, T. E.; Bush, R.; Scherrer, P. H. Bibcode: 2001ESASP.464..327S Altcode: 2001soho...10..327S Solar-B satellite, a successor to Yohkoh, will be launched in 2005. Placed in a sun-synchronous orbit, it will carry out multi-wavelength observation in optical, EUV and X-ray ranges. One of the instruments on Solar-B, Solar Optical Telescope (SOT), a Japan/US collaboration, aims at measuring the magnetic field and the Doppler velocity field in the solar photosphere. Although it is not specifically designed for helioseismic observations, the high-resolution Dopplergram produced by SOT is potentially a very powerful tool for detailed seismic investigation of subsurface magnetic and thermal structures and associated mass flows. If successful, these measurements will be an important contribution to the main goal of the Solar-B project: understanding the origin and dynamics of the basic magnetic structures and their effects on the solar corona. We discuss the prospect and challenges of local-area helioseismology by SOT. Title: Comparison of phase inversion and time-distance analysis of one-dimensional artificial seismic data Authors: Gough, D. O.; Sekii, T.; Toomre, J. Bibcode: 2001ESASP.464..207G Altcode: 2001soho...10..207G We have studied the application of a phase inversion technique (Gough, Merryfield and Toomre 1991, 1993, 1998; Gough, Sekii and Toomre 1998, 2000) to stochastically excited damped oscillations in an inhomogeneous one-dimensional loop, using artificial seismic data (Gough, Sekii and Toomre 2000). It has been found that within a parameter range that might be relevant to the solar case, strong damping can significantly degrade inversions for the wave propagation speed. Here we analyse the same artificial data by a time-distance technique, to compare how the two techniques differ in their response to the presence of strong damping. Title: g-mode detection: Where do we stand? Authors: Appourchaux, T.; Andersen, B.; Berthomieu, G.; Chaplin, W.; Elsworth, Y.; Finsterle, W.; Frölich, C.; Gough, D. O.; Hoeksema, T.; Isaak, G.; Kosovichev, A.; Provost, J.; Scherrer, P.; Sekii, T.; Toutain, T. Bibcode: 2001ESASP.464..467A Altcode: 2001soho...10..467A We review the recent developments in determining the upper limits to g-mode amplitudes obtained by SOHO instruments, GONG and BiSON. We address how this limit can be improved by way of new helioseismic instruments and/or new collaborations, hopefully providing in the not too distant future unambiguous g-mode detection. Title: On measuring low-degree p-mode frequency splitting with full-disc integrated data Authors: Appourchaux, T.; Chang, H. -Y.; Gough, D. O.; Sekii, T. Bibcode: 2000MNRAS.319..365A Altcode: The standard method of measuring rotational splitting from solar full-disc oscillation data, based on maximum-likelihood fitting of multi-Lorentzian profiles to oscillation power spectra, systematically overestimates the splitting. One of the reasons is that the maximum likelihood estimators (MLE) become unbiased only asymptotically as the number of data tends to infinity; for a finite data set they are often biased, inducing a systematic error. In this paper we assess by Monte Carlo simulations the amount of systematic error in the splitting measurement, using artificially generated power spectra. The simulations are carried out for multiplets of degree S(t) = ΣkSk(t), l=1, 2 and 3 with various signal-to-noise ratios, linewidths and observing times. We address the possible use of non-MLE estimators that could provide a smaller or negligible systematic error. The implication for asteroseismology is also discussed. Title: Solar Interior: Inversions of Helioseismic Data Authors: Sekii, T. Bibcode: 2000eaa..bookE2248S Altcode: Once the eigenfrequencies of the solar oscillations are measured (see HELIOSEISMIC OBSERVATIONS), they are analysed further to investigate the solar interior. For example, we can use these frequencies to reveal how the adiabatic soundspeed varies with depth, or how the interior of the Sun rotates differentially, both in depth and in latitude. This procedure is called inversion, because the proced... Title: Phase inversion of one-dimensional artificial seismic data Authors: Gough, D. O.; Sekii, T.; Toomre, J. Bibcode: 2000SoPh..195....1G Altcode: Oscillations of an inhomogeneous one-dimensional loop have been simulated for the purpose of examining the effect of excitation and damping on the sound-speed inversion based on phase analysis. It has been demonstrated that the procedure is robust against the realization noise arising from frequent, stochastic excitation of weakly damped waves, but that strong damping can spoil the inversion. Title: Observational Upper Limits to Low-Degree Solar g-Modes Authors: Appourchaux, T.; Fröhlich, C.; Andersen, B.; Berthomieu, G.; Chaplin, W. J.; Elsworth, Y.; Finsterle, W.; Gough, D. O.; Hoeksema, J. T.; Isaak, G. R.; Kosovichev, A. G.; Provost, J.; Scherrer, P. H.; Sekii, T.; Toutain, T. Bibcode: 2000ApJ...538..401A Altcode: Observations made by the Michelson Doppler Imager (MDI) and Variability of solar IRradiance and Gravity Oscillations (VIRGO) on the Solar and Heliospheric Observatory (SOHO) and by the ground-based Birmingham Solar Oscillations Network (BiSON) and Global Oscillations Network Group (GONG) have been used in a concerted effort to search for solar gravity oscillations. All spectra are dominated by solar noise in the frequency region from 100 to 1000 μHz, where g-modes are expected to be found. Several methods have been used in an effort to extract any g-mode signal present. These include (1) the correlation of data-both full-disk and imaged (with different spatial-mask properties)-collected over different time intervals from the same instrument, (2) the correlation of near-contemporaneous data from different instruments, and (3) the extraction-through the application of complex filtering techniques-of the coherent part of data collected at different heights in the solar atmosphere. The detection limit is set by the loss of coherence caused by the temporal evolution and the motion (e.g., rotation) of superficial structures. Although we cannot identify any g-mode signature, we have nevertheless set a firm upper limit to the amplitudes of the modes: at 200 μHz, they are below 10 mm s-1 in velocity, and below 0.5 parts per million in intensity. The velocity limit corresponds very approximately to a peak-to-peak vertical displacement of δR/Rsolar=2.3×10-8 at the solar surface. These levels which are much lower than prior claims, are consistent with theoretical predictions. Title: Prospects for Measuring Differential Rotation in White Dwarfs through Asteroseismology Authors: Kawaler, Steven D.; Sekii, Takashi; Gough, Douglas Bibcode: 1999ApJ...516..349K Altcode: 1998astro.ph.11286K We examine the potential of asteroseismology for exploring the internal rotation of white dwarf stars. Data from global observing campaigns have revealed a wealth of frequencies, some of which show the signature of rotational splitting. Tools developed for helioseismology to use many solar p-mode frequencies for inversion of the rotation rate with depth are adapted to the case of more limited numbers of modes of low degree. We find that the small number of available modes in white dwarfs, coupled with the similarity between the rotational-splitting kernels of the modes, renders direct inversion unstable. Accordingly, we adopt what we consider to be plausible functional forms for the differential rotation profile; this is sufficiently restrictive to enable us to carry out a useful calibration. We show examples of this technique for PG 1159 stars and pulsating DB white dwarfs. Published frequency splittings for white dwarfs are currently not accurate enough for meaningful inversions; reanalysis of existing data can provide splittings of sufficient accuracy when the frequencies of individual peaks are extracted via least-squares fitting or multipeak decompositions. We find that, when mode trapping is evident in the period spacing of g modes, the measured splittings can constrain dΩ/dr. Title: Phase Inversion of One-Dimensional Artificial Seismic Data Authors: Gough, D. O.; Sekii, T.; Toomre, J. Bibcode: 1999soho....9E..30G Altcode: It has been pointed out (Sekii 1997; Gough, Sekii & Toomre 1998, 1999) that the application of the phase inversion technique (Gough, Merryfield & Toomre 1991, 1993, 1998) to the solar high-degree sectoral data, for detecting the background inhomogeneity in the solar equatorial region, may be facing difficulty arising from the presence of excitation and damping. We have studied the implication of the effects of these, using a simple model of stochastically excited damped oscillations of a one-dimensional loop. The results of phase inversions for various cases will be presented and various strategies to overcome the difficulty will be discussed. Title: Helioseismic Studies of Differential Rotation in the Solar Envelope by the Solar Oscillations Investigation Using the Michelson Doppler Imager Authors: Schou, J.; Antia, H. M.; Basu, S.; Bogart, R. S.; Bush, R. I.; Chitre, S. M.; Christensen-Dalsgaard, J.; Di Mauro, M. P.; Dziembowski, W. A.; Eff-Darwich, A.; Gough, D. O.; Haber, D. A.; Hoeksema, J. T.; Howe, R.; Korzennik, S. G.; Kosovichev, A. G.; Larsen, R. M.; Pijpers, F. P.; Scherrer, P. H.; Sekii, T.; Tarbell, T. D.; Title, A. M.; Thompson, M. J.; Toomre, J. Bibcode: 1998ApJ...505..390S Altcode: The splitting of the frequencies of the global resonant acoustic modes of the Sun by large-scale flows and rotation permits study of the variation of angular velocity Ω with both radius and latitude within the turbulent convection zone and the deeper radiative interior. The nearly uninterrupted Doppler imaging observations, provided by the Solar Oscillations Investigation (SOI) using the Michelson Doppler Imager (MDI) on the Solar and Heliospheric Observatory (SOHO) spacecraft positioned at the L1 Lagrangian point in continuous sunlight, yield oscillation power spectra with very high signal-to-noise ratios that allow frequency splittings to be determined with exceptional accuracy. This paper reports on joint helioseismic analyses of solar rotation in the convection zone and in the outer part of the radiative core. Inversions have been obtained for a medium-l mode set (involving modes of angular degree l extending to about 250) obtained from the first 144 day interval of SOI-MDI observations in 1996. Drawing inferences about the solar internal rotation from the splitting data is a subtle process. By applying more than one inversion technique to the data, we get some indication of what are the more robust and less robust features of our inversion solutions. Here we have used seven different inversion methods. To test the reliability and sensitivity of these methods, we have performed a set of controlled experiments utilizing artificial data. This gives us some confidence in the inferences we can draw from the real solar data. The inversions of SOI-MDI data have confirmed that the decrease of Ω with latitude seen at the surface extends with little radial variation through much of the convection zone, at the base of which is an adjustment layer, called the tachocline, leading to nearly uniform rotation deeper in the radiative interior. A prominent rotational shearing layer in which Ω increases just below the surface is discernible at low to mid latitudes. Using the new data, we have also been able to study the solar rotation closer to the poles than has been achieved in previous investigations. The data have revealed that the angular velocity is distinctly lower at high latitudes than the values previously extrapolated from measurements at lower latitudes based on surface Doppler observations and helioseismology. Furthermore, we have found some evidence near latitudes of 75° of a submerged polar jet which is rotating more rapidly than its immediate surroundings. Superposed on the relatively smooth latitudinal variation in Ω are alternating zonal bands of slightly faster and slower rotation, each extending some 10° to 15° in latitude. These relatively weak banded flows have been followed by inversion to a depth of about 5% of the solar radius and appear to coincide with the evolving pattern of ``torsional oscillations'' reported from earlier surface Doppler studies. Title: The Solar Internal Rotation from GOLF Splittings Authors: Corbard, T.; Di Mauro, M. P.; Sekii, T.; GOLF Team Bibcode: 1998ESASP.418..741C Altcode: 1998soho....6..741C; 1998astro.ph..6254C The low degree splittings obtained from one year of GOLF data analysis are combined with the MDI medium-l 144-day splittings in order to infer the solar internal rotation as a function of the radius down to 0.2R_sun. Several inverse methods are applied to the same data and the uncertainties on the solution as well as the resolution reachable are discussed. The results are compared with the one obtained from the low degree splittings estimated from GONG network. Title: Helioseismic Determination of the Solar Tachocline Thickness Authors: Elliott, J. R.; Gough, D. O.; Sekii, T. Bibcode: 1998ESASP.418..763E Altcode: 1998soho....6..763E Inversions of rotational splitting data reveal the existence of a shear layer at the base of the convection zone, which is known as the tachocline. The angular velocity in the convection zone varies with latitude, whereas the angular velocity in the outer layers of the radiative envelope is more nearly uniform. The differential rotation of the convection zone is no doubt driven by anisotropic Reynolds stresses associated with the turbulent convection. It is likely that the radiative envelope is held rigid by a large-scale magnetic field. The transition between the two is too sharp to be resolved by the seismic splitting data. However, it must necessarily support an Ekman circulation (Spiegel & Zahn, 1992), which advects heavy elements that have settled under gravity back into the convection zone, causing an abrupt discontinuity in chemical composition at the base of the tachocline, thereby modifying the hydrostatic stratification. We have calibrated theoretical solar models incorporating the tachocline mixing against the latest seismic data from SOI/MDI, from which we have obtained a value for the tachocline thickness which is substantially more precise than the formal resolving power of the seismic data. Title: Some Comments on Phase Inversions Authors: Gough, D. O.; Sekii, T.; Toomre, J. Bibcode: 1998ESASP.418..789G Altcode: 1998soho....6..789G The method of phase inversion have been proposed and tested for simple cases by Gough, Merryfield and Toomre(1991,1993,1998) for detection of inhomogeneity in media by observing wave propagation. We discuss some of the difficulties that are encountered with the procedure in practice, and what might be done to overcome them in transferring the technique to the solar case, such as in the study of horizontal inhomogeneity in the solar cavity along the equator using the MDI sectoral-mode data. A complication seems to arise, aside from observational problems, from the fact that the waves are not only scattered by inhomogeneity, but are also excited and damped, as is observed in the broadening of the ridges in the k-ω diagram. Title: Observational Upper Limits for Low-Degree Solar g-modes Authors: Fröhlich, C.; Finsterle, W.; Andersen, B.; Appourchaux, T.; Chaplin, W. J.; Elsworth, Y.; D. O. Gough; Hoeksema, J. T.; Isaak, G. R.; Kosovichev, A. G.; Provost, J.; Scherrer, P. H.; Sekii, T.; Toutain, T. Bibcode: 1998ESASP.418...67F Altcode: 1998soho....6...67F No abstract at ADS Title: Recent topics in helioseismology. Authors: Sekii, T. Bibcode: 1998AstHe..91...92S Altcode: Selected topics from the recent development in helioseismology are reviewed. The emphasis is on those findings from the SOHO satellite. Title: On the Influence of Unaccounted Error Correlations of Linear Inversions Authors: Gough, D. O.; Sekii, T. Bibcode: 1998ESASP.418..787G Altcode: 1998soho....6..787G Continuing our previous study (Gough 1996, also see Kosovichev et al. 1995) on the effects of correlated errors on linear inversions, we investigate how the optimally localized averaging method and the regularized least-square fitting method, both of which are `optimal' in different ways, respond differently to the use of wrong covariance matrices in one-dimensional rotation inversions. Our results demonstrate how important it is to exercise care in estimating error correlations when trying to extract mode frequencies from helioseismic data. Title: Comparative Studies of Low-Order and Low-Degree Solar p Modes Authors: Appourchaux, T.; Andersen, B.; Chaplin, W.; Elsworth, Y.; Finsterle, W.; Frohlich, C.; Gough, D.; Hoeksema, J. T.; Isaak, G.; Kosovichev, A.; Provost, J.; Scherrer, P.; Sekii, T.; Toutain, T. Bibcode: 1998ESASP.418...95A Altcode: 1998soho....6...95A The amplitudes of solar p-modes decrease steeply with decreasing radial order below about 17. The background solar signal (solar noise) in general increases steadily with decreasing frequency. For the irradiance and radiance measurements with VIRGO or SOI/MDI on SOHO this combination makes it difficult to detect low degree modes below about 1.8 mHz. The solar noise as observed in velocity with SOI/MDI or the ground based BISON network is significantly lower in this region than in intensity measurements. This allows low degree modes to be observed close to 1 mHz. We present results of detection and charaterization of the lowest order observable p-modes both in velocity and intensity measurements. Where applicable the properties of the modes observed with the two methods are compared. Title: Rotation and Zonal Flows in the Solar Envelope from the SOHO/MDI Observations Authors: Scherrer, P. H.; Schou, J.; Bogart, R. S.; Bush, R. I.; Hoeksema, J. T.; Kosovichev, A. G.; Antia, H. M.; Chitre, S. M.; Christensen-Dalsgaard, J.; Larsen, R. M.; Pijpers, F. P.; Eff-Darwich, A.; Korzennik, S. G.; Gough, D. O.; Sekii, T.; Howe, R.; Tarbell, T.; Title, A. M.; Thompson, M. J.; Toomre, J. Bibcode: 1997AAS...191.7310S Altcode: 1997BAAS...29.1322S We report on the latest inferences concerning solar differential rotation that have been drawn from the helioseismic data that are now available from the Solar Oscillations Investigation (SOI) using the Michelson Doppler Imager (MDI) on the Solar and Heliospheric Observatory (SOHO). That spacecraft is positioned in a halo orbit near the Sun-Earth Lagrangian point L_1, in order to obtain continuous Doppler-imaged observations of the sun with high spatial fidelity. Doppler velocity, intensity and magnetic field images are recorded, based on modulations of the 676.8 nm Ni I solar absorption line. The high spatial resolution of MDI thereby permits the study of many millions of global resonant modes of solar oscillation. Determination and subsequent inversion of the frequencies of these modes, including the degeneracy-splitting by the rotation of the sun, enables us to infer how the sun's angular velocity varies throughout much of the interior. The current MDI data are providing substantial refinements to the helioseismic deductions that can be made about differential rotation both within the convection zone and in its transition to the radiative interior. The shearing layer evident in the angular velocity Omega just below the solar surface is becoming better defined, as is the adjustment layer or tachocline near the base of the convection zone. The MDI data are also revealing a prominent decrease in Omega at high latitudes from the rotation rate expressed by a simple three-term expansion in latitude that was originally deduced from surface Doppler measurements. Further, there are indications that a submerged polar vortex involving somewhat faster Omega than its surroundings exists at about 75(deg) in latitudes. Title: Structure and Rotation of the Solar Interior: Initial Results from the MDI Medium-L Program Authors: Kosovichev, A. G.; Schou, J.; Scherrer, P. H.; Bogart, R. S.; Bush, R. I.; Hoeksema, J. T.; Aloise, J.; Bacon, L.; Burnette, A.; de Forest, C.; Giles, P. M.; Leibrand, K.; Nigam, R.; Rubin, M.; Scott, K.; Williams, S. D.; Basu, Sarbani; Christensen-Dalsgaard, J.; Dappen, W.; Rhodes, E. J., Jr.; Duvall, T. L., Jr.; Howe, R.; Thompson, M. J.; Gough, D. O.; Sekii, T.; Toomre, J.; Tarbell, T. D.; Title, A. M.; Mathur, D.; Morrison, M.; Saba, J. L. R.; Wolfson, C. J.; Zayer, I.; Milford, P. N. Bibcode: 1997SoPh..170...43K Altcode: The medium-l program of the Michelson Doppler Imager instrument on board SOHO provides continuous observations of oscillation modes of angular degree, l, from 0 to ∽ 300. The data for the program are partly processed on board because only about 3% of MDI observations can be transmitted continuously to the ground. The on-board data processing, the main component of which is Gaussian-weighted binning, has been optimized to reduce the negative influence of spatial aliasing of the high-degree oscillation modes. The data processing is completed in a data analysis pipeline at the SOI Stanford Support Center to determine the mean multiplet frequencies and splitting coefficients. The initial results show that the noise in the medium-l oscillation power spectrum is substantially lower than in ground-based measurements. This enables us to detect lower amplitude modes and, thus, to extend the range of measured mode frequencies. This is important for inferring the Sun's internal structure and rotation. The MDI observations also reveal the asymmetry of oscillation spectral lines. The line asymmetries agree with the theory of mode excitation by acoustic sources localized in the upper convective boundary layer. The sound-speed profile inferred from the mean frequencies gives evidence for a sharp variation at the edge of the energy-generating core. The results also confirm the previous finding by the GONG (Gough et al., 1996) that, in a thin layer just beneath the convection zone, helium appears to be less abundant than predicted by theory. Inverting the multiplet frequency splittings from MDI, we detect significant rotational shear in this thin layer. This layer is likely to be the place where the solar dynamo operates. In order to understand how the Sun works, it is extremely important to observe the evolution of this transition layer throughout the 11-year activity cycle. Title: Structure inversions with the VIRGO data Authors: Appourchaux, Th.; Sekii, Takashi; Gough, Douglas; Lee, Umin; Wehrli, Christoph; Virgo Team Bibcode: 1997IAUS..181..159A Altcode: No abstract at ADS Title: Internal structure and rotation of the Sun: First results from MDI data Authors: Kosovichev, A. G.; Schou, J.; Scherrer, P. H.; Bogart, R. S.; Bush, R. I.; Hoeksema, J. T.; Aloise, J.; Bacon, L.; Burnette, A.; De Forest, C.; Giles, P. M.; Leibrand, K.; Nigam, R.; Rubin, M.; Scott, K.; Williams, S. D.; Basu, Sarbani; Christensen-Dalsgaard, J.; Däppen, W.; Rhodes, E. J., Jr.; Duvall, T. L., Jr.; Howe, R.; Thompson, M. J.; Gough, D. O.; Sekii, T.; Toomre, J.; Tarbell, T. D.; Title, A. M.; Mathur, D.; Morrison, M.; Saba, J. L. R.; Wolfson, C. J.; Zayer, I.; Milford, P. N. Bibcode: 1997IAUS..181..203K Altcode: No abstract at ADS Title: Internal Solar rotation Authors: Sekii, T. Bibcode: 1997IAUS..181..189S Altcode: No abstract at ADS Title: First results from VIRGO on SoHO Authors: Frohlich, C.; Andersen, B. N.; Appourchaux, T.; Berthomieu, G.; Crommelynck, D. A.; Domingo, V.; Fichot, A.; Finsterle, W.; Gómez, M. F.; Gough, D.; Jiménez, A.; Leifsen, T.; Lombaerts, M.; Pap, J. M.; Provost, J.; Roca Cortés, T.; Romero, J.; Roth, H. -J.; Sekii, T.; Telljohann, U.; Toutain, T.; Wehrli, C. Bibcode: 1997IAUS..181...67F Altcode: No abstract at ADS Title: First Results from VIRGO, the Experiment for Helioseismology and Solar Irradiance Monitoring on SOHO Authors: Fröhlich, Claus; Andersen, Bo N.; Appourchaux, Thierry; Berthomieu, Gabrielle; Crommelynck, Dominique A.; Domingo, Vicente; Fichot, Alain; Finsterle, Wolfgang; Gómez, Maria F.; Gough, Douglas; Jiménez, Antonio; Leifsen, Torben; Lombaerts, Marc; Pap, Judit M.; Provost, Janine; Roca Cortés, Teodoro; Romero, José; Roth, Hansjörg; Sekii, Takashi; Telljohann, Udo; Toutain, Thierry; Wehrli, Christoph Bibcode: 1997SoPh..170....1F Altcode: First results from the VIRGO experiment (Variability of solar IRradiance and Gravity Oscillations) on the ESA/NASA Mission SOHO (Solar and Heliospheric Observatory) are reported. The observations started mid-January 1996 for the radiometers and sunphotometers and near the end of March for the luminosity oscillation imager. The performance of all the instruments is very good, and the time series of the first 4-6 months are evaluated in terms of solar irradiance variability, solar background noise characteristics and p-mode oscillations. The solar irradiance is modulated by the passage of active regions across the disk, but not all of the modulation is straightforwardly explained in terms of sunspot flux blocking and facular enhancement. Helioseismic inversions of the observed p-mode frequencies are more-or-less in agreement with the latest standard solar models. The comparison of VIRGO results with earlier ones shows evidence that magnetic activity plays a significant role in the dynamics of the oscillations beyond its modulation of the resonant frequencies. Moreover, by comparing the amplitudes of different components ofp -mode multiplets, each of which are influenced differently by spatial inhomogeneity, we have found that activity enhances excitation. Title: The seismic structure of the Sun from GONG Authors: Anderson, E.; Antia, H. M.; Basu, S.; Chaboyer, B.; Chitre, S. M.; Christensen-Dalsgaard, J.; Eff-Darwich, A.; Elliott, J. R.; Giles, P. M.; Gough, D. O.; Guzik, J. A.; Harvey, J. W.; Hill, F.; Leibacher, J. W.; Kosovichev, A. G.; Monteiro, M. J. P. F. G.; Richard, O.; Sekii, T.; Shibahashi, H.; Takata, M.; Thompson, M. J.; Toomre, J.; Vauclair, S.; Vorontsov, S. V. Bibcode: 1997IAUS..181..151A Altcode: No abstract at ADS Title: The Seismic Structure of the Sun Authors: Gough, D. O.; Kosovichev, A. G.; Toomre, J.; Anderson, E.; Antia, H. M.; Basu, S.; Chaboyer, B.; Chitre, S. M.; Christensen-Dalsgaard, J.; Dziembowski, W. A.; Eff-Darwich, A.; Elliott, J. R.; Giles, P. M.; Goode, P. R.; Guzik, J. A.; Harvey, J. W.; Hill, F.; Leibacher, J. W.; Monteiro, M. J. P. F. G.; Richard, O.; Sekii, T.; Shibahashi, H.; Takata, M.; Thompson, M. J.; Vauclair, S.; Vorontsov, S. V. Bibcode: 1996Sci...272.1296G Altcode: Global Oscillation Network Group data reveal that the internal structure of the sun can be well represented by a calibrated standard model. However, immediately beneath the convection zone and at the edge of the energy-generating core, the sound-speed variation is somewhat smoother in the sun than it is in the model. This could be a consequence of chemical inhomogeneity that is too severe in the model, perhaps owing to inaccurate modeling of gravitational settling or to neglected macroscopic motion that may be present in the sun. Accurate knowledge of the sun's structure enables inferences to be made about the physics that controls the sun; for example, through the opacity, the equation of state, or wave motion. Those inferences can then be used elsewhere in astrophysics. Title: Differential Rotation and Dynamics of the Solar Interior Authors: Thompson, M. J.; Toomre, J.; Anderson, E. R.; Antia, H. M.; Berthomieu, G.; Burtonclay, D.; Chitre, S. M.; Christensen-Dalsgaard, J.; Corbard, T.; De Rosa, M.; Genovese, C. R.; Gough, D. O.; Haber, D. A.; Harvey, J. W.; Hill, F.; Howe, R.; Korzennik, S. G.; Kosovichev, A. G.; Leibacher, J. W.; Pijpers, F. P.; Provost, J.; Rhodes, E. J., Jr.; Schou, J.; Sekii, T.; Stark, P. B.; Wilson, P. R. Bibcode: 1996Sci...272.1300T Altcode: Splitting of the sun's global oscillation frequencies by large-scale flows can be used to investigate how rotation varies with radius and latitude within the solar interior. The nearly uninterrupted observations by the Global Oscillation Network Group (GONG) yield oscillation power spectra with high duty cycles and high signal-to-noise ratios. Frequency splittings derived from GONG observations confirm that the variation of rotation rate with latitude seen at the surface carries through much of the convection zone, at the base of which is an adjustment layer leading to latitudinally independent rotation at greater depths. A distinctive shear layer just below the surface is discernible at low to mid-latitudes. Title: Inferring Spatial Variation of Solar Properties from Helioseismic Data Authors: Gough, D. O.; Sekii, T.; Stark, P. B. Bibcode: 1996ApJ...459..779G Altcode: A common method to infer that solar properties vary with position is to compare linear estimates of averages of those properties centered at different locations. If some of the confidence intervals for the averages do not overlap, one concludes that the property varies. In order for this conclusion to be statistically valid, the lengths of the intervals must be adjusted to obtain the correct "simultaneous coverage probability." We illustrate the notion of simultaneous coverage probability using coin tossing as an example. We present four methods for adjusting the lengths of confidence intervals for linear estimates, and a complementary approach to infer changes based on constructing a linear estimator that is directly sensitive to changes. The first method for constructing simultaneous confidence intervals is based on Bonferroni's inequality, and applies generally to confidence intervals for any set of parameters, from dependent or independent observations. The second method is based on a 2 measure of fit to the data, which allows one to compute s1multaneous confidence intervals for any number of linear functionals of the model. The third method uses a ^{2 }distribution in the space of estimates, which yields "Scheffe'" confidence intervals for the functionals. The fourth method, which produces the shortest confidence intervals, uses the infinity-norm in the space of estimates to construct "maximum-modulus" confidence intervals. We apply the four methods to search for radial changes in averages of solar angular velocity, using data from Big Bear Solar Observatory (BBSO) averaged for the 4 yr 1986, 1988-1990. Finally, we apply the new differencing estimator to the BBSO data, finding strong evidence that the average solar angular velocity is lower near the poles than near the equator over a range of depths, as is observed at the surface as well. Title: On Frequency Determination and Temporal Data Sampling Authors: Chang, H. -Y.; Gough, D.; Sekii, T. Bibcode: 1995ESASP.376b.175C Altcode: 1995soho....2..175C; 1995help.confP.175C The authors have further developed the procedure described by Chang and Gough (1995) in GONG94 to analyse low-degree helioseismic time series. An idealized model was used to construct artifical data representing a superposition of undamped oscillations in a cavity which is varying slowly with time in an unknown manner. The procedure involves matching a model of the data to the actual data by minimizing a measure of misfit. This requires a multidimensional parameter search which, if a generic procedure such as the simplex algorithm used for GONG94 is employed, is computationally expensive. The authors have developed an efficient scheme tailored explicitly to the problem in hand, which uses a combination of an approximate factorization of the parameter space with an alternation of a jumping algorithm between local minima and Newton-Ralphson iteration. Title: Observational Constraints on the Internal Solar Angular Velocity Authors: Sekii, T.; Genovese, C. R.; Gough, D. O.; Stark, P. B. Bibcode: 1995ESASP.376b.279S Altcode: 1995help.confP.279S; 1995soho....2..279S No abstract at ADS Title: The 1 ⊗ 1 Rotation Inversion with Expansion Coefficients Authors: Sekii, T. Bibcode: 1995ESASP.376b.285S Altcode: 1995help.confP.285S; 1995soho....2..285S No abstract at ADS Title: Linear Inversions in Helioseismology: Testing New Regularization Techniques for Solving Large Systems of Linear Algebraic Equations Authors: Strakhov, V. N.; Vorontsov, S. V.; Sekii, T. Bibcode: 1995ASPC...76..492S Altcode: 1995gong.conf..492S No abstract at ADS Title: Angular Inversions of Rotational Splitting Coefficients Authors: Sekii, T. Bibcode: 1995ASPC...76...74S Altcode: 1995gong.conf...74S No abstract at ADS Title: Asymptotic Signatures of Jovian Discontinuities Authors: Gough, D. O.; Sekii, T. Bibcode: 1995ASPC...76..374G Altcode: 1995gong.conf..374G No abstract at ADS Title: Working Group 9 - Interior Structure and Inversions Authors: Kosovichev, A. G.; Basu, S.; Christensen-Dalsgaard, J.; Eff-Darwich, A.; Gough, D. O.; Iglesias, C. A.; Pérez-Hernández, F.; Rogers, F.; Sekii, T.; Shibahashi, H. Bibcode: 1995ESASP.376a.211K Altcode: 1995heli.conf..211K No abstract at ADS Title: Inversions of BBSO Rotational Splitting Data Authors: Sekii, T.; Gough, D. O.; Kosovichev, A. G. Bibcode: 1995ASPC...76...59S Altcode: 1995gong.conf...59S No abstract at ADS Title: How Regularization Influences Rotation Inversion Authors: Sekii, T. Bibcode: 1995ASPC...76...67S Altcode: 1995gong.conf...67S No abstract at ADS Title: Invitation to helioseismology II. Authors: Shibahashi, H.; Sekii, T. Bibcode: 1993AstHe..86..461S Altcode: No abstract at ADS Title: A new strategy for 2D inversion for solar rotation Authors: Sekii, Takashi Bibcode: 1993MNRAS.264.1018S Altcode: In the linearized integral formula for rotational splitting of solar p-mode frequencies, the dominant term in the kernel is a product of two terms, one depending on the radial coordinate alone, and the other depending solely on the colatitude. By retaining only this term in the equation, two-dimensional inverse techniques for the solar internal rotation can be formulated in such a way that the angular and radial inversions can be carried out separately. Thus the 2D inversion is reduced to two successive 1D inversions. This strategy leads to a dramatic reduction in computational burden when one is inverting huge data sets. It is also possible to improve the quality of the inversions significantly by a modification to the radial inversion procedure. In this paper, regularized least-squares data fitting and a modified optimally localized averaging are applied to the angular inversion and the radial inversion, respectively. The quality of the inversions is illustrated by means of the resulting averaging kernels. Title: Invitation to helioseismology I. Authors: Shibahashi, H.; Sekii, T. Bibcode: 1993AstHe..86..416S Altcode: No abstract at ADS Title: Seismic evidence of modulation of the structure and angular velocity of the Sun associated with the solar cycle Authors: Gough, D. O.; Kosovichev, A. G.; Sekii, T.; Libbrecht, K. G.; Woodard, M. F. Bibcode: 1993ASPC...40...93G Altcode: 1993IAUCo.137...93G; 1993ist..proc...93G No abstract at ADS Title: The Form of the Angular Velocity in the Solar Convection Zone Authors: Gough, D. O.; Kosovichev, A. G.; Sekii, T.; Libbrecht, K. G.; Woodard, M. F. Bibcode: 1993ASPC...42..213G Altcode: 1993gong.conf..213G No abstract at ADS Title: on the Detection of Convective Overshoot Authors: Gough, D. O.; Sekii, T. Bibcode: 1993ASPC...42..177G Altcode: 1993gong.conf..177G No abstract at ADS Title: A procedure for two-dimensional asymptotic rotational-splitting inversion Authors: Sekii, T.; Gough, D. O. Bibcode: 1993ASPC...40..569S Altcode: 1993IAUCo.137..569S; 1993ist..proc..569S No abstract at ADS Title: on an R/1XR/1 Inversion Technique for Solar Rotation Authors: Sekii, T. Bibcode: 1993ASPC...42..237S Altcode: 1993gong.conf..237S No abstract at ADS Title: Two-Dimensional Inversion for Solar Internal Rotation Authors: Sekii, Takashi Bibcode: 1991PASJ...43..381S Altcode: The internal rotation of the sun is inferred by solving a fully two-dimensional inverse problem of the rotational splitting data of Libbrecht (1989, AAA 080.006). We solve a set of integral equations which relate the rotational splittings of the eigenfrequencies of the sun to the internal rotation rate of the sun, the latter being considered as a function of both the distance from the center and the latitude. For this purpose we suggest an inverse method and apply it to the present problem. The integral equations are descretized and reduced to a set of linear equations. First, we impose an error-weighted least-squares condition with some boundary constraints at the surface. Second, we impose a flatness condition: the average of the first derivatives of the rotation rate is required to be as small as possible under the first constraint. Inversions were carried out while fully utilizing singular-value decomposition. In order to stabilize the solution to observational and numeric errors, we discarded small singular values. The results of numerical experiments show that the best resolution is obtained within a depth range of 0.6 <~ r/R <~ 0.9 in the low-latitude region. By inverting the observed splittings, we found that the solar internal rotation in the low-latitude region is slightly faster than the surface rotation rate in the outer ten percent of the radius, and decreases to about five percent less than the surface rotation rate within the lower levels of the convection zone. In the region 0.7 <~ r/R <~ 0.8, the rotation rate within the low-latitude zone is as fast as the surface rate, but is slower than the surface rate at r/R <~ 0.7. The rotation rate within the mid-latitude region decreases with depth in the outer twenty percent of the radius, and gradually increases inward to be faster than the surface rate. Title: Two-Dimensional Inversion of Rotational Splitting Data Authors: Sekii, Takashi Bibcode: 1990LNP...367..337S Altcode: 1990psss.conf..337S We solve a two-dimensional inverse problem of the rotational frequency splitting to infer the rotation rate in the sun as a function of both the radius and the latitude. We use Libbrecht's (1989) observational data of the solar p-mode frequency splitting. We discretize a set of linear integral equations for rotational splittings and reduce them a set of linear algebraic equations. We solve the resultant algebraic equations by imposing an error-weighted least squares condition cooperated with boundary constraint at the surface. In order to stabilize the solution to observational and numerical errors, we discard small singular values of the coefficient matrix, and this keeps some parameters undetermined. To determine these parameters we impose a flatness condition. The inverted results show the solar internal rotation becomes slower at low latitudes and faster at high latitudes with increasing depth. The most significant deviation from this trend is that rotation is slow at low latitudes in the convection zone. Title: An asymptotic inversion method of inferring the sound velocity distribution in the sun from the spectrum of p-mode oscillations Authors: Sekii, Takashi; Shibahashi, Hiromoto Bibcode: 1989PASJ...41..311S Altcode: An inversion method for inferring the sound velocity distribution in the sun from its p-mode oscillation data is presented. The method is applied to a set of theoretically calculated eigenfrequencies of a solar model. It is shown that the method improves the accuracy and effectiveness of the asymptotic inversion method of inferring the internal structure of the sun, in particular, the deep interior of the sun. Title: An inversion method based on the Moore-Penrose generalized inverse matrix. Authors: Sekii, T.; Shibahashi, H. Bibcode: 1988ESASP.286..521S Altcode: 1988ssls.rept..521S The authors present an inversion method based on solving the algebraic equations by means of the Moore-Penrose generalized inverse matrix of inferring the solar internal rotation, and evaluate its validity. Title: Sound velocity distribution in the Sun inferred from the asymptotic inversion of p-mode spectra. Authors: Shibahashi, H.; Sekii, T. Bibcode: 1988ESASP.286..471S Altcode: 1988ssls.rept..471S The authors solve the inverse problem of the solar p-mode spectrum based on a recently developed asymptotic inversion method, and infer the sound velocity distribution with the accuracy better than a few percent. In this method, the equation governing high order p-mode oscillations has been reduced to a form of the Schrödinger equation in quantum mechanics. By using the quantization rule based on the WKBJ method, the authors formulated an integral equation to infer the form of the "acoustic potential". The acoustic potential itself consists of two parts. One of them is dependent on the degree l and the sound velocity and is the dominant term in the deep interior while the other is independent of l and dominates in the outer envelope. By examining the l-dependence of the acoustic potential thus inferred, the authors separate these two terms and then they infer the sound velocity distribution in the Sun. They apply this method to the real observational data of Duvall et al. and Libbrecht and Kaufman and obtain the sound velocity distribution in the Sun. They compare the result with their model and find that there is a small discrepancy between the model and the inferred result in the range of 0.3 < r/R < 0.4. Title: White Dwarf Seismology - Inverse Problem of G-Mode Oscillations Authors: Shibahashi, H.; Sekii, T.; Kawaler, S. Bibcode: 1988LNP...305...86S Altcode: 1988IAUCo.108...86S; 1988adse.conf...86S No abstract at ADS Title: Inverse Problem of Solar Oscillations Authors: Sekii, Takashi; Shibahashi, Hiromoto Bibcode: 1987LNP...274..322S Altcode: 1987stpu.conf..322S We present some preliminary results of numerical simulation to infer the sound velocity distribution in the solar interior from the oscillation data of the Sun as the inverse problem. We analyze the acoustic potential itself by taking account of some factors other than the sound velocity, and we can infer fairly well the sound velocity distribution in the deep interior of the Sun.