explanation      blue bibcodes open ADS page with paths to full text
Author name code: smitha
ADS astronomy entries on 2022-09-14
=author:"Smitha, H.N." 

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Title: Ti I lines at 2.2 μm as probes of the cooler regions of
    sunspots
Authors: Smitha, H. N.; Castellanos Durán, J. S.; Solanki, S. K.;
   Tiwari, S. K.
2021A&A...653A..91S    Altcode: 2021arXiv210701247S
  Context. The sunspot umbra harbours the coolest plasma on the solar
  surface due to the presence of strong magnetic fields. The atomic
  lines that are routinely used to observe the photosphere have weak
  signals in the umbra and are often swamped by molecular lines. This
  makes it harder to infer the properties of the umbra, especially in
  the darkest regions. <BR /> Aims: The lines of the Ti I multiplet
  at 2.2 μm are formed mainly at temperatures ≤4500 K and are not
  known to be affected by molecular blends in sunspots. Since the first
  systematic observations in the 1990s, these lines have been seldom
  observed due to the instrumental challenges involved at these longer
  wavelengths. We revisit these lines and investigate their formation
  in different solar features. <BR /> Methods: We synthesized the
  Ti I multiplet using a snapshot from 3D magnetohydrodynamic (MHD)
  simulations of a sunspot and explored the properties of two of its
  lines in comparison with two commonly used iron lines, at 6302.5 Å and
  1.5648 μm. <BR /> Results: We find that the Ti I lines have stronger
  signals than the Fe I lines in both intensity and polarization in the
  sunspot umbra and in penumbral spines. They have little to no signal
  in the penumbral filaments and the quiet Sun, at μ = 1. Their strong
  and well-split profiles in the dark umbra are less affected by stray
  light. Consequently, inside the sunspot, it is easier to invert these
  lines and to infer the atmospheric properties as compared to the iron
  lines. <BR /> Conclusions: The Cryo-NIRSP instrument at the DKIST will
  provide the first-ever high-resolution observations in this wavelength
  range. In this preparatory study, we demonstrate the unique temperature
  and magnetic sensitivities of the Ti multiplet by probing the Sun's
  coolest regions, which are not favourable for the formation of other
  commonly used spectral lines. We thus expect such observations to
  advance our understanding of sunspot properties.

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Title: The influence of NLTE effects in Fe I lines on an inverted
    atmosphere. II. 6301 Å and 6302 Å lines formed in 3D NLTE
Authors: Smitha, H. N.; Holzreuter, R.; van Noort, M.; Solanki, S. K.
2021A&A...647A..46S    Altcode: 2021arXiv210100506S
  Context. This paper forms the second part of our study of how
  neglecting non-local thermodynamic equilibrium (NLTE) conditions in
  the formation of Fe I 6301.5 Å and the 6302.5 Å lines affects the
  atmosphere that is obtained by inverting the Stokes profiles of these
  lines in LTE. The main cause of NLTE effects in these lines is the line
  opacity deficit that is due to the excess ionisation of Fe I atoms by
  ultraviolet (UV) photons in the Sun. <BR /> Aims: In the first paper,
  these photospheric lines were assumed to have formed in 1D NLTE and the
  effects of horizontal radiation transfer (RT) were neglected. In the
  present paper, the iron lines are computed by solving the RT in 3D. We
  investigate the effect of horizontal RT on the inverted atmosphere and
  how it can enhance or reduce the errors that are due to neglecting 1D
  NLTE effects. <BR /> Methods: The Stokes profiles of the iron lines
  were computed in LTE, 1D NLTE, and 3D NLTE. They were all inverted
  using an LTE inversion code. The atmosphere from the inversion of
  LTE profiles was taken as the reference model. The atmospheres from
  the inversion of 1D NLTE profiles (testmodel-1D) and 3D NLTE profiles
  (testmodel-3D) were compared with it. Differences between reference and
  testmodels were analysed and correspondingly attributed to NLTE and 3D
  effects. <BR /> Results: The effects of horizontal RT are evident in
  regions surrounded by strong horizontal temperature gradients. That is,
  along the granule boundaries, regions surrounding magnetic elements,
  and its boundaries with intergranular lanes. In some regions, the 3D
  effects enhance the 1D NLTE effects, and in some, they weaken these
  effects. In the small region analysed in this paper, the errors due to
  neglecting the 3D effects are lower than 5% in temperature. In most of
  the pixels, the errors are lower than 20% in both velocity and magnetic
  field strength. These errors also persist when the Stokes profiles
  are spatially and spectrally degraded to the resolution of the Swedish
  Solar Telescope (SST) or Daniel K. Inouye Solar Telescope (DKIST). <BR
  /> Conclusions: Neglecting horizontal RT introduces errors not only in
  the derived temperature, but also in other atmospheric parameters. The
  error sizes depend on the strength of the local horizontal temperature
  gradients. Compared to the 1D NLTE effect, the 3D effects are more
  localised in specific regions in the atmosphere and are weaker overall.

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Title: Solar Photosphere
Authors: Chitta, L. P.; Smitha, H. N.; Solanki, S. K.
2020orep.bookE...1C    Altcode:
  No abstract at ADS

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Title: The influence of NLTE effects in Fe I lines on an inverted
    atmosphere. I. 6301 Å and 6302 Å lines formed in 1D NLTE
Authors: Smitha, H. N.; Holzreuter, R.; van Noort, M.; Solanki, S. K.
2020A&A...633A.157S    Altcode: 2019arXiv191207007S
  Context. Ultraviolet overionisation of iron atoms in the solar
  atmosphere leads to deviations in their level populations based on
  Saha-Boltzmann statistics. This causes their line profiles to form in
  non-local thermodynamic equilibrium (NLTE) conditions. When inverting
  such profiles to determine atmospheric parameters, the NLTE effects
  are often neglected and other quantities are tweaked to compensate for
  deviations from the LTE. <BR /> Aims: We investigate how the routinely
  employed LTE inversion of iron lines formed in NLTE underestimates
  or overestimates atmospheric quantities, such as temperature (T),
  line-of-sight velocity (v<SUB>LOS</SUB>), magnetic field strength (B),
  and inclination (γ) while the earlier papers have focused mainly
  on T. Our findings has wide-ranging consequences since many results
  derived in solar physics are based on inversions of Fe I lines carried
  out in LTE. <BR /> Methods: We synthesized the Stokes profiles of Fe I
  6301.5 Å and 6302.5 Å lines in both LTE and NLTE using a snapshot of
  a 3D magnetohydrodynamic simulation. The profiles were then inverted
  in LTE. We considered the atmosphere inferred from the inversion of
  LTE profiles as the fiducial model and compared it to the atmosphere
  resulting from the inversion of NLTE profiles. The observed differences
  have been attributed to NLTE effects. <BR /> Results: Neglecting the
  NLTE effects introduces errors in the inverted atmosphere. While the
  errors in T can go up to 13%, in v<SUB>LOS</SUB> and B, the errors can
  go as high as 50% or above. We find these errors to be present at all
  three inversion nodes. Importantly, they survive degradation from the
  spatial averaging of the profiles. <BR /> Conclusions: We provide an
  overview of how neglecting NLTE effects influences the values of T,
  v<SUB>LOS</SUB>, B, and γ that are determined by inverting the Fe I
  6300 Å line pair, as observed, for example, by Hinode/SOT/SP. Errors
  are found at the sites of granules, intergranular lanes, magnetic
  elements, and basically in every region susceptible to NLTE effects. For
  an accurate determination of the atmospheric quantities and their
  stratification, it is, therefore, important to take the NLTE effects
  into account.

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Title: Using the infrared iron lines to probe solar subsurface
    convection
Authors: Milić, I.; Smitha, H. N.; Lagg, A.
2019A&A...630A.133M    Altcode: 2019arXiv190407306M
  Context. Studying the properties of solar convection using
  high-resolution spectropolarimetry began in the early 1990s with
  the focus on observations in the visible wavelength regions. Its
  extension to the infrared (IR) remains largely unexplored. <BR />
  Aims: The IR iron lines around 15 600 Å, most commonly known for
  their high magnetic sensitivity, also have a non-zero response to
  line-of-sight (LOS) velocity below log(τ) = 0.0. In this paper we
  explore the possibility of using these lines to measure subsurface
  convective velocities. <BR /> Methods: By assuming a snapshot of a
  three-dimensional magnetohydrodynamic simulation to represent the quiet
  Sun, we investigate how well the iron IR lines can reproduce the LOS
  velocity in the cube and to what depth. We use the recently developed
  spectropolarimetric inversion code SNAPI and discuss the optimal node
  placements for the retrieval of reliable results from these spectral
  lines. <BR /> Results: We find that the IR iron lines can measure the
  convective velocities down to log(τ) = 0.5, below the photosphere,
  not only at the original resolution of the cube, but also when degraded
  with a reasonable spectral and spatial PSF and stray light. Instead, the
  commonly used Fe I 6300 Å line pair performs significantly worse. <BR
  /> Conclusions: Our investigation reveals that the IR iron lines can
  probe the subsurface convection in the solar photosphere. This paper
  is a first step towards exploiting this diagnostic potential.

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Title: Observations of solar chromospheric heating at sub-arcsec
    spatial resolution
Authors: Smitha, H. N.; Chitta, L. P.; Wiegelmann, T.; Solanki, S. K.
2018A&A...617A.128S    Altcode: 2018arXiv180701078S
  A wide variety of phenomena such as gentle but persistent
  brightening, dynamic slender features (∼100 km), and compact
  (∼1″) ultraviolet (UV) bursts are associated with the heating of
  the solar chromosphere. High spatio-temporal resolution is required to
  capture the finer details of the likely magnetic reconnection-driven,
  rapidly evolving bursts. Such observations are also needed to reveal
  their similarities to large-scale flares, which are also thought to be
  reconnection driven, and more generally their role in chromospheric
  heating. Here we report observations of chromospheric heating in
  the form of a UV burst obtained with the balloon-borne observatory
  SUNRISE. The observed burst displayed a spatial morphology similar
  to that of a large-scale solar flare with a circular ribbon. While
  the co-temporal UV observations at 1.5″ spatial resolution and
  24 s cadence from the Solar Dynamics Observatory showed a compact
  brightening, the SUNRISE observations at diffraction-limited spatial
  resolution of 0.1″ at 7 s cadence revealed a dynamic substructure
  of the burst that it is composed of an extended ribbon-like feature
  and a rapidly evolving arcade of thin (∼0.1″) magnetic loop-like
  features, similar to post-flare loops. Such a dynamic substructure
  reveals the small-scale nature of chromospheric heating in these
  bursts. Furthermore, based on magnetic field extrapolations, this
  heating event is associated with a complex fan-spine magnetic
  topology. Our observations strongly hint at a unified picture of
  magnetic heating in the solar atmosphere from some large-scale
  flares to small-scale bursts, all associated with such a magnetic
  topology. <P />The movie associated to Fig. 2 is available at <A
  href="https://www.aanda.org/10.1051/0004-6361/201833276/olm">https://www.aanda.org/</A>

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Title: Probing photospheric magnetic fields with new spectral
    line pairs
Authors: Smitha, H. N.; Solanki, S. K.
2017A&A...608A.111S    Altcode: 2017arXiv170908926S
  Context. The magnetic line ratio (MLR) method has been extensively
  used in the measurement of photospheric magnetic field strength. It
  was devised for the neutral iron line pair at 5247.1 Å and 5250.2 Å
  (5250 Å pair). Other line pairs as well-suited as this pair have not
  been reported in the literature. <BR /> Aims: The aim of the present
  work is to identify new line pairs useful for the MLR technique and to
  test their reliability. <BR /> Methods: We used a three-dimensional
  magnetohydrodynamic 3D MHD simulation representing the quiet Sun
  atmosphere to synthesize the Stokes profiles. Then, we applied the MLR
  technique to the Stokes V profiles to recover the fields in the MHD
  cube both at original resolution and after degrading with a point spread
  function. In both these cases, we aim to empirically represent the field
  strengths returned by the MLR method in terms of the field strengths
  in the MHD cube. <BR /> Results: We have identified two new line pairs
  that are very well adapted to be used for MLR measurements. The first
  pair is in the visible, Fe I 6820-6842 Å, whose intensity profiles
  have previously been used to measure stellar magnetic fields, and
  the other pair is in the infrared (IR), Fe I 15 534-15 542 Å. The
  lines in these pairs reproduce the magnetic fields in the MHD cube
  rather well and, in fact, somewhat better than the original 5250 Å
  pair. <BR /> Conclusions: The newly identified line pairs complement
  the old pairs. The lines in the new IR pair, because of their higher
  Zeeman sensitivity, are ideal for the measurement of weak fields. The
  new visible pair works best above 300 G. The new IR pair, due to its
  large Stokes V signal samples more fields in the MHD cube than the old
  IR pair at 1.56 μm, even in the presence of noise, and hence likely
  also on the real Sun. Owing to their low formation heights (100-200 km
  above τ<SUB>5000</SUB> = 1), both the new line pairs are well suited
  for probing magnetic fields in the lower photosphere.

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Title: Estimation of the Magnetic Flux Emergence Rate in the Quiet
    Sun from Sunrise Data
Authors: Smitha, H. N.; Anusha, L. S.; Solanki, S. K.; Riethmüller,
   T. L.
2017ApJS..229...17S    Altcode: 2016arXiv161106432S
  Small-scale internetwork (IN) features are thought to be the major
  source of fresh magnetic flux in the quiet Sun. During its first science
  flight in 2009, the balloon-borne observatory Sunrise captured images of
  the magnetic fields in the quiet Sun at a high spatial resolution. Using
  these data we measure the rate at which the IN features bring magnetic
  flux to the solar surface. In a previous paper it was found that the
  lowest magnetic flux in small-scale features detected using the Sunrise
  observations is 9 × 10<SUP>14</SUP> Mx. This is nearly an order of
  magnitude smaller than the smallest fluxes of features detected in
  observations from the Hinode satellite. In this paper, we compute the
  flux emergence rate (FER) by accounting for such small fluxes, which
  was not possible before Sunrise. By tracking the features with fluxes
  in the range {10}<SUP>15</SUP>{--}{10}<SUP>18</SUP> Mx, we measure an
  FER of 1100 {Mx} {{cm}}<SUP>-2</SUP> {{day}}<SUP>-1</SUP>. The smaller
  features with fluxes ≤slant {10}<SUP>16</SUP> Mx are found to be the
  dominant contributors to the solar magnetic flux. The FER found here
  is an order of magnitude higher than the rate from Hinode, obtained
  with a similar feature tracking technique. A wider comparison with the
  literature shows, however, that the exact technique of determining the
  rate of the appearance of new flux can lead to results that differ by
  up to two orders of magnitude, even when applied to similar data. The
  causes of this discrepancy are discussed and first qualitative
  explanations proposed.

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Title: Flux emergence rate in the quiet Sun from Sunrise data
Authors: Smitha, H. N.; Anusha, L. S.; Solanki, S. K.; Riethmüller,
   T. L.
2017psio.confE.106S    Altcode:
  No abstract at ADS

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Title: Modeling the center-to-limb variation of the Ca i 4227 Å
    line using FCHHT models
Authors: Supriya, H. D.; Smitha, H. N.; Nagendra, K. N.; Stenflo,
   J. O.; Bianda, M.; Ravindra, B.; Ramelli, R.; Anusha, L. S.
2015IAUS..305..381S    Altcode:
  The Ca i 4227 Å is a chromospheric line exhibiting the largest degree
  of linear polarization near the limb, in the visible spectrum of the
  Sun. Modeling the observations of the center-to-limb variations (CLV)
  of different lines in the Second Solar Spectrum helps to sample the
  height dependence of the magnetic field, as the observations made
  at different lines of sight sample different heights in the solar
  atmosphere. Supriya et al. (2014) attempted to simultaneously model
  the CLV of the (I, Q/I) spectra of the Ca i 4227 Å line using the
  standard 1-D FAL model atmospheres. They found that the standard FAL
  model atmospheres and also any appropriate combination of them, fail
  to simultaneously fit the observed Stokes (I, Q/I) profiles at all the
  limb distances (μ) satisfying at the same time all the observational
  constraints. This failure of 1-D modeling approach can probably be
  overcome by using multi-dimensional modeling which is computationally
  expensive. To eliminate an even wider choice of 1-D models, we attempt
  here to simultaneously model the CLV of the (I, Q/I) spectra using the
  FCHHT solar model atmospheres which are updated and recent versions
  of the FAL models. The details of our modeling efforts and the results
  are presented.

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Title: A revisit to model the Cr i triplet at 5204-5208 Å and the
    Ba ii D<SUB>2</SUB> line at 4554 Å in the Second Solar Spectrum
Authors: Smitha, H. N.; Nagendra, K. N.; Stenflo, J. O.; Bianda, M.;
   Sampoorna, M.; Ramelli, R.
2015IAUS..305..372S    Altcode:
  In our previous attempt to model the Stokes profiles of the Cr i triplet
  at 5204-5208 Å and the Ba ii D<SUB>2</SUB> at 4554 Å, we found it
  necessary to slightly modify the standard FAL model atmospheres to fit
  the observed polarization profiles. In the case of Cr i triplet, this
  modification was done to reduce the theoretical continuum polarization,
  and in the case of Ba ii D<SUB>2</SUB>, it was needed to reproduce the
  central peak in Q/I. In this work, we revisit both these cases using
  different standard model atmospheres whose temperature structures
  closely resemble those of the modified FAL models, and explore the
  possibility of synthesizing the line profiles without the need for
  small modifications of the model atmosphere.

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Title: The Role of Quantum Interference and Partial Redistribution
    in the Solar Ba &lt;font size=2&gt;II D<SUB>2</SUB> 4554 Å Line
Authors: Smitha, H. N.; Nagendra, K. N.; Stenflo, J. O.; Sampoorna, M.
2014ASPC..489..213S    Altcode: 2014arXiv1409.0465S
  The Ba &lt;font size=2&gt;II D<SUB>2</SUB> line at 4554 Å is a good
  example, where the F-state interference effects due to the odd isotopes
  produce polarization profiles, which are very different from those
  of the even isotopes that do not exhibit F-state interference. It is
  therefore necessary to account for the contributions from the different
  isotopes to understand the observed linear polarization profiles of
  this line. In this paper we present radiative transfer modeling with
  partial frequency redistribution, which is shown to be essential to
  model this line. This is because complete frequency redistribution
  cannot reproduce the observed wing polarization. We present the observed
  and computed Q/I profiles at different limb distances. The theoretical
  profiles strongly depend on limb distance (μ) and the model atmosphere
  which fits the limb observations fails at other μ positions.

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Title: The Quantum Interference Effects in the Sc II 4247 Å Line
    of the Second Solar Spectrum
Authors: Smitha, H. N.; Nagendra, K. N.; Stenflo, J. O.; Bianda, M.;
   Ramelli, R.
2014ApJ...794...30S    Altcode: 2014arXiv1408.4247S
  The Sc II 4247 Å line formed in the chromosphere is one of the lines
  well known, like the Na I D<SUB>2</SUB> and Ba II D<SUB>2</SUB>,
  for its prominent triple-peak structure in Q/I and the underlying
  quantum interference effects governing it. In this paper, we try
  to study the nature of this triple-peak structure using the theory
  of F-state interference including the effects of partial frequency
  redistribution (PRD) and radiative transfer (RT). We compare our
  results with the observations taken in a quiet region near the
  solar limb. In spite of accounting for PRD and RT effects, it has
  not been possible to reproduce the observed triple-peak structure in
  Q/I. While the two wing PRD peaks (on either side of central peak)
  and the near wing continuum can be reproduced, the central peak is
  completely suppressed by the enhanced depolarization resulting from
  the hyperfine structure splitting. This suppression remains for all
  the tested widely different one-dimensional model atmospheres or for
  any multi-component combinations of them. While multidimensional RT
  effects may improve the fit to the intensity profiles, they do not
  appear capable of explaining the enigmatic central Q/I peak. This
  leads us to suspect that some aspect of quantum physics is missing.

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Title: Center-to-limb Observations and Modeling of the Ca I 4227
    Å Line
Authors: Supriya, H. D.; Smitha, H. N.; Nagendra, K. N.; Stenflo,
   J. O.; Bianda, M.; Ramelli, R.; Ravindra, B.; Anusha, L. S.
2014ApJ...793...42S    Altcode: 2014arXiv1407.5461S
  The observed center-to-limb variation (CLV) of the scattering
  polarization in different lines of the Second Solar Spectrum can be used
  to constrain the height variation of various atmospheric parameters, in
  particular the magnetic fields, via the Hanle effect. Here we attempt
  to model the nonmagnetic CLV observations of the Q/I profiles of the
  Ca I 4227 Å line recorded with the Zurich Imaging Polarimeter-3
  at IRSOL. For modeling, we use the polarized radiative transfer
  with partial frequency redistribution with a number of realistic
  one-dimensional (1D) model atmospheres. We find that all the standard
  Fontenla-Avrett-Loeser (FAL) model atmospheres, which we used, fail
  to simultaneously fit the observed (I, Q/I) at all the limb distances
  (μ). However, an attempt is made to find a single model which can
  provide a fit to at least the CLV of the observed Q/I instead of a
  simultaneous fit to the (I, Q/I) at all μ. To this end we construct a
  new 1D model by combining two of the standard models after modifying
  their temperature structures in the appropriate height ranges. This
  new combined model closely reproduces the observed Q/I at all μ but
  fails to reproduce the observed rest intensity at different μ. Hence
  we find that no single 1D model atmosphere succeeds in providing a
  good representation of the real Sun. This failure of 1D models does
  not, however, cause an impediment to the magnetic field diagnostic
  potential of the Ca I 4227 Å line. To demonstrate this we deduce the
  field strength at various μ positions without invoking the use of
  radiative transfer.

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Title: Modeling the Quantum Interference Signatures of the Ba II
    D<SUB>2</SUB> 4554 Å Line in the Second Solar Spectrum
Authors: Smitha, H. N.; Nagendra, K. N.; Stenflo, J. O.; Sampoorna, M.
2013ApJ...768..163S    Altcode: 2013arXiv1303.7304S
  Quantum interference effects play a vital role in shaping the linear
  polarization profiles of solar spectral lines. The Ba II D<SUB>2</SUB>
  line at 4554 Å is a prominent example, where the F-state interference
  effects due to the odd isotopes produce polarization profiles,
  which are very different from those of the even isotopes that have
  no F-state interference. It is therefore necessary to account for the
  contributions from the different isotopes to understand the observed
  linear polarization profiles of this line. Here we do radiative
  transfer modeling with partial frequency redistribution (PRD) of such
  observations while accounting for the interference effects and isotope
  composition. The Ba II D<SUB>2</SUB> polarization profile is found
  to be strongly governed by the PRD mechanism. We show how a full PRD
  treatment succeeds in reproducing the observations, while complete
  frequency redistribution alone fails to produce polarization profiles
  that have any resemblance to the observed ones. However, we also find
  that the line center polarization is sensitive to the temperature
  structure of the model atmosphere. To obtain a good fit to the line
  center peak of the observed Stokes Q/I profile, a small modification
  of the FALX model atmosphere is needed, by lowering the temperature
  in the line-forming layers. Because of the pronounced temperature
  sensitivity of the Ba II D<SUB>2</SUB> line it may not be a suitable
  tool for Hanle magnetic-field diagnostics of the solar chromosphere,
  because there is currently no straightforward way to separate the
  temperature and magnetic-field effects from each other.

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Title: Quantum interference with angle-dependent partial frequency
redistribution: solution of the polarized line transfer in the
    non-magnetic case
Authors: Supriya, H. D.; Smitha, H. N.; Nagendra, K. N.; Ravindra,
   B.; Sampoorna, M.
2013MNRAS.429..275S    Altcode:
  Angle-dependent partial frequency redistribution (PRD) matrices
  represent the physical redistribution in the process of light scattering
  on atoms. For the purpose of numerical simplicity, it is a common
  practice in astrophysical literature to use the angle-averaged versions
  of these matrices, in the line transfer computations. The aim of this
  paper is to study the combined effects of angle-dependent PRD and the
  quantum interference phenomena arising either between the fine structure
  (J) states of a two-term atom or between the hyperfine structure (F)
  states of a two-level atom. We restrict our attention to the case
  of non-magnetic and collisionless line scattering on atoms. A rapid
  method of solution based on Neumann series expansion is developed to
  solve the angle-dependent PRD problem including quantum interference in
  an atomic system. We discuss the differences that occur in the Stokes
  profiles when angle-dependent PRD mechanism is taken into account.

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Title: Polarized line formation with J-state interference in the
presence of magnetic fields: A Heuristic treatment of collisional
    frequency redistribution
Authors: Smitha, H. N.; Nagendra, K. N.; Sampoorna, M.; Stenflo, J. O.
2013JQSRT.115...46S    Altcode: 2012arXiv1209.0243S
  An expression for the partial frequency redistribution (PRD) matrix
  for line scattering in a two-term atom, which includes the J-state
  interference between its fine structure line components is derived. The
  influence of collisions (both elastic and inelastic) and an external
  magnetic field on the scattering process is taken into account. The
  lower term is assumed to be unpolarized and infinitely sharp. The
  linear Zeeman regime in which the Zeeman splitting is much smaller than
  the fine structure splitting is considered. The inelastic collision
  rates between the different levels are included in our treatment. We
  account for the depolarization caused by the collisions coupling the
  fine structure states of the upper term, but neglect the polarization
  transfer between the fine structure states. When the fine structure
  splitting goes to zero, we recover the redistribution matrix that
  represents the scattering on a two-level atom (which exhibits only
  m-state interference—namely the Hanle effect). The way in which the
  multipolar index of the scattering atom enters into the expression
  for the redistribution matrix through the collisional branching
  ratios is discussed. The properties of the redistribution matrix are
  explored for a single scattering process for a L=0→1→0 scattering
  transition with S=1/2 (a hypothetical doublet centered at 5000 Å and
  5001 Å). Further, a method for solving the Hanle radiative transfer
  equation for a two-term atom in the presence of collisions, PRD, and
  J-state interference is developed. The Stokes profiles emerging from
  an isothermal constant property medium are computed.

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Title: Polarized Line Transfer with F-state Interference in a
Non-magnetic Medium: Partial Frequency Redistribution Effects in
    the Collisionless Regime
Authors: Smitha, H. N.; Sowmya, K.; Nagendra, K. N.; Sampoorna, M.;
   Stenflo, J. O.
2012ApJ...758..112S    Altcode: 2012arXiv1208.6369S
  Quantum interference phenomena manifest themselves in several ways
  in the polarized solar spectrum formed due to coherent scattering
  processes. One such effect arises due to interference between the fine
  structure (J) states giving rise to multiplets. Another effect is that
  which arises due to interference between the hyperfine structure (F)
  states. We extend the redistribution matrix derived for the J-state
  interference to the case of F-state interference. We then incorporate
  it into the polarized radiative transfer equation and solve it for
  isothermal constant property slab atmospheres. The relevant transfer
  equation is solved using a polarized approximate lambda iteration (PALI)
  technique based on operator perturbation. An alternative method derived
  from the Neumann series expansion is also proposed and is found to be
  relatively more efficient than the PALI method. The effects of partial
  frequency redistribution and the F-state interference on the shapes
  of the linearly polarized Stokes profiles are discussed. The emergent
  Stokes profiles are computed for hypothetical line transitions arising
  due to hyperfine structure splitting of the upper J = 3/2 and lower J =
  1/2 levels of a two-level atom model with nuclear spin I<SUB>s</SUB>
  = 3/2. We confine our attention to the non-magnetic scattering in the
  collisionless regime.

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Title: Forward-scattering Hanle effect in the solar Ca I 4227 Å line
Authors: Frisch, H.; Anusha, L. S.; Bianda, M.; Holzreuter, R.;
   Nagendra, K. N.; Ramelli, R.; Sampoorna, M.; Smitha, H. N.; Stenflo,
   J. O.
2012EAS....55...59F    Altcode:
  High sensitivity spectropolarimetric observations of the four Stokes
  parameters of the solar Ca I 4227 Å line have been performed in
  October 2010 at IRSOL with the ZIMPOL polarimeter, near the disk center,
  outside an active region (Bianda et al. 2011). They were analyzed in
  Anusha et al. 2011 with a combination of detailed radiative transfer
  modelling of the Hanle effect for the linear polarization and weak
  field Zeeman approximation for the circular polarization. This approach
  made possible a unique determination of the magnetic field vector at
  various positions along the slit of the spectrograph. A summary of
  the observations and of their analysis is presented here.

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Title: J-state interference signatures in the second solar
    spectrum. Modeling the Cr i triplet at 5204-5208 Å
Authors: Smitha, H. N.; Nagendra, K. N.; Stenflo, J. O.; Bianda, M.;
   Sampoorna, M.; Ramelli, R.; Anusha, L. S.
2012A&A...541A..24S    Altcode: 2012arXiv1203.4934S
  The scattering polarization in the solar spectrum is traditionally
  modeled with each spectral line treated separately, but this is
  generally inadequate for multiplets where J-state interference
  plays a significant role. Through simultaneous observations of all
  the 3 lines of a Cr i triplet, combined with realistic radiative
  transfer modeling of the data, we show that it is necessary to include
  J-state interference consistently when modeling lines with partially
  interacting fine structure components. Polarized line formation theory
  that includes J-state interference effects together with partial
  frequency redistribution for a two-term atom is used to model the
  observations. Collisional frequency redistribution is also accounted
  for. We show that the resonance polarization in the Cr i triplet is
  strongly affected by the partial frequency redistribution effects in
  the line core and near wing peaks. The Cr i triplet is quite sensitive
  to the temperature structure of the photospheric layers. Our complete
  frequency redistribution calculations in semi-empirical models of the
  solar atmosphere cannot reproduce the observed near wing polarization or
  the cross-over of the Stokes Q/I line polarization about the continuum
  polarization level that is due to the J-state interference. When
  however partial frequency redistribution is included, a good fit to
  these features can be achieved. Further, to obtain a good fit to the
  far wings, a small temperature enhancement of the FALF model in the
  photospheric layers is necessary.

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Title: Radiative transfer with J-state interference in a two-term
    atom. Partial frequency redistribution in the non-magnetic case
Authors: Smitha, H. N.; Nagendra, K. N.; Sampoorna, M.; Stenflo, J. O.
2011A&A...535A..35S    Altcode:
  Context. Quantum interference phenomena play a fundamental role in
  the formation of linear polarization that arises from scattering
  processes in multiplets of the solar spectrum. In particular,
  the J-state interference between different line components of a
  multiplet (arising from transitions in a two-term atom) produces
  significant effects in the linearly polarized spectra. <BR /> Aims:
  We aim to solve the polarized radiative transfer equation for a
  two-term atom with the unpolarized lower term in isothermal slabs,
  including the effect of the interference between the upper J-states
  and partial frequency redistribution (PRD). We consider only the case
  of non-magnetic scattering. <BR /> Methods: The PRD matrix for the
  J-state interference derived in previous works is incorporated into
  the polarized transfer equation. The standard form of the two-level
  atom transfer equation is extended to a two-term atom. The transfer
  problem is then solved using a traditional polarized approximate lambda
  iteration method. <BR /> Results: We show how the PRD and the J-state
  interference together affect the shapes of the (I,Q/I) profiles. We
  present the benchmark solutions for isothermal, constant-property
  slabs of a given optical thickness. We consider a hypothetical doublet
  produced by an L = 0 → 1 → 0 scattering transition with spin S =
  1/2. We present the results in the form of Stokes (I,Q/I) profiles for
  different values of (i) the line separation, (ii) optical thickness,
  (iii) thermalization parameter, and (iv) the continuum opacity.

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Title: Analysis of the Forward-scattering Hanle Effect in the Ca I
    4227 Å Line
Authors: Anusha, L. S.; Nagendra, K. N.; Bianda, M.; Stenflo, J. O.;
   Holzreuter, R.; Sampoorna, M.; Frisch, H.; Ramelli, R.; Smitha, H. N.
2011ApJ...737...95A    Altcode:
  Coherent scattering of limb-darkened radiation is responsible for the
  generation of the linearly polarized spectrum of the Sun (the Second
  Solar Spectrum). This Second Solar Spectrum is usually observed near the
  limb of the Sun, where the polarization amplitudes are largest. At the
  center of the solar disk the linear polarization is zero for an axially
  symmetric atmosphere. Any mechanism that breaks the axial symmetry (like
  the presence of an oriented magnetic field, or resolved inhomogeneities
  in the atmosphere) can generate a non-zero linear polarization. In the
  present paper we study the linear polarization near the disk center
  in a weakly magnetized region, where the axisymmetry is broken. We
  present polarimetric (I, Q/I, U/I, and V/I) observations of the Ca
  I 4227 Å line recorded around μ = cos θ = 0.9 (where θ is the
  heliocentric angle) and a modeling of these observations. The high
  sensitivity of the instrument (ZIMPOL-3) makes it possible to measure
  the weak polarimetric signals with great accuracy. The modeling of
  these high-quality observations requires the solution of the polarized
  radiative transfer equation in the presence of a magnetic field. For
  this we use standard one-dimensional model atmospheres. We show that the
  linear polarization is mainly produced by the Hanle effect (rather than
  by the transverse Zeeman effect), while the circular polarization is due
  to the longitudinal Zeeman effect. A unique determination of the full
  \bm {B} vector may be achieved when both effects are accounted for. The
  field strengths required for the simultaneous fitting of Q/I, U/I, and
  V/I are in the range 10-50 G. The shapes and signs of the Q/I and U/I
  profiles are highly sensitive to the orientation of the magnetic field.

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Title: Observations of the forward scattering Hanle effect in the
    Ca I 4227 Å line
Authors: Bianda, M.; Ramelli, R.; Anusha, L. S.; Stenflo, J. O.;
   Nagendra, K. N.; Holzreuter, R.; Sampoorna, M.; Frisch, H.; Smitha,
   H. N.
2011A&A...530L..13B    Altcode: 2011arXiv1105.2157B
  Chromospheric magnetic fields are notoriously difficult to measure. The
  chromospheric lines are broad, while the fields are producing
  a minuscule Zeeman-effect polarization. A promising diagnostic
  alternative is provided by the forward-scattering Hanle effect, which
  can be recorded in chromospheric lines such as the He i 10 830 Å
  and the Ca i 4227 Å lines. We present a set of spectropolarimetric
  observations of the full Stokes vector obtained near the center of the
  solar disk in the Ca i 4227 Å line with the ZIMPOL polarimeter at the
  IRSOL observatory. We detect a number of interesting forward-scattering
  Hanle effect signatures, which we model successfully using polarized
  radiative transfer. Here we focus on the observational aspects, while
  a separate companion paper deals with the theoretical modeling.

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Title: Polarized Line Formation with J-state Interference in the
    Presence of Magnetic Fields. I. Partial Frequency Redistribution in
    the Collisionless Regime
Authors: Smitha, H. N.; Sampoorna, M.; Nagendra, K. N.; Stenflo, J. O.
2011ApJ...733....4S    Altcode:
  Quantum interference phenomena play a fundamental role in astrophysical
  spectra that are formed by coherent scattering processes. Here we
  derive a partial frequency redistribution (PRD) matrix that includes
  J-state interference in the presence of magnetic fields of arbitrary
  strength. The paper focuses on PRD in the collisionless regime, which
  in the traditional PRD terminology is referred to as Hummer's type-II
  scattering. By limiting the treatment to the linear Zeeman regime,
  for which the Zeeman splitting is much smaller than the fine-structure
  splitting, it is possible to formulate analytical expressions for
  the PRD matrices. In the special case of non-magnetic scattering we
  recover the redistribution matrix derived from an independent quantum
  electrodynamic formulation based on the metalevel theory.