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Author name code: rangarajan
ADS astronomy entries on 2022-09-14
=author:"Rangarajan, K.E." 

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Title: Hα full line spectropolarimetry as diagnostics of
    chromospheric magnetic field
Authors: Nagaraju, K.; Sankarasubramanian, K.; Rangarajan, K. E.
2020JApA...41...10N    Altcode:
  Analysis of spectropolarimetric observations of two circular sunspots
  located close to disk centre in Hα (6562.8 Å) and Fe I (6569.22 Å)
  is presented in this paper. The corresponding active region numbers are
  NOAA 10940 and NOAA 10941 referred to as AR1 and AR2, respectively. The
  vector magnetic field at the photosphere is derived through inversion
  of Stokes profiles of Fe I under Milne-Eddington atmospheric model. The
  chromospheric vector magnetic field is derived from Hα Stokes profiles
  under weak-field approximation. Azimuthally averaged magnetic field
  as a function of radial distance from the centre of sunspot at
  the photosphere and chromosphere are studied. At the photosphere,
  the radial variation shows a well known behaviour that the total
  field and the line-of-sight (LOS) component monotonically decrease
  from centre to the edge of the sunspot and the transverse component
  initially increases, reaches a maximum close to half the sunspot
  radius and then decreases. LOS and the transverse components become
  equal close to half the sunspot radius consistent with the earlier
  findings. At the chromosphere, all the components of the magnetic
  field decrease with the sunspot radius. However, the LOS component
  decreases monotonically whereas the transverse component decreases
  monotonically up to about 0.6 times the sunspot radius after which it
  reaches a constant value. Azimuthally averaged magnetic field gradient
  from photosphere to chromosphere is also presented here.

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Title: Diagnosing chromospheric magnetic field through simultaneous
    spectropolarimetry in Hα and Ca II 854.2 nm
Authors: Nagaraju, K.; Sankarasubramanian, K.; Rangarajan, K. E.
2020IAUS..354...46N    Altcode:
  Measurement of magnetic field in this layer is challenging both from
  point of view of observations and interpretation of the data. We
  present in this work about spectropolarimetric observations of a pore,
  simultaneously in Ca ii (CaIR) at 854.2 nm (CaIR) and H α (656.28
  nm). The observed region includes a small scale energetic event (SSEE)
  taking place in the region between the pore and the region which show
  opposite polarity to that of pore at the photosphere. The energetic
  event appears to be a progressive reconnection event as shown by the
  time evolution of the intensity profiles. Closer examination of the
  intensity profiles from the downflow regions suggest that the height of
  formation of CaIR is higher than that of Hi α, contrary to the current
  understanding about their height of formation. Preliminary results on
  the inversion of Stokes-I and V profiles of CaIR are also presented.

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Title: National Large Solar Telescope
Authors: Hasan, S. S.; Banerjee, D.; Ravindra, B.; Sankarasubramanian,
   K.; Rangarajan, K. E.
2017CSci..113..696H    Altcode:
  No abstract at ADS

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Title: Astronomical site survey report on dust measurement, wind
    profile, optical turbulence, and their correlation with seeing over
    IAO-Hanle. Astronomical site survey report over IAO-Hanle
Authors: Ningombam, Shantikumar S.; Kathiravan, S.; Parihar, P. S.;
   L. Larson, E. J.; Mohanan, Sharika; Angchuk, Dorje; Jorphel, Sonam;
   Rangarajan, K. E.; Prabhu, K.
2017ExA....43..145N    Altcode: 2017ExA...tmp....8N
  The present work discusses astronomical site survey reports on dust
  content, vertical distribution of atmospheric turbulence, precipitable
  water vapor (PWV), surface and upper-air data, and their effects on
  seeing over the Indian Astronomical Observatory (IAO) Hanle. Using
  Laser Particulate Counter, ambient dust measurements at various sizes
  (0.3 μm to 25 μm) were performed at various locations at the site
  during November 2015. Estimated volume concentration for the particle
  size at 0.5 μm was around 10,000 per cubic foot, which is equivalent
  to ten thousand class of clean room standard protocol. During the
  measurement, surface wind speed varied from 0-20 m s <SUP>-1</SUP>,
  while estimated aerosol optical depth (AOD) using Sky radiometer
  (Prede) varied from 0.02-0.04 at 500 nm, which indicates the site
  is fairly clean. The two independent measurements of dust content
  and aerosol concentrations at the site agreed well. The turbulence
  or wind gust at the site was studied with wind profiles at three
  different heights above the ground. The strength of the wind gust
  varies with time and altitude. Nocturnal temperature across seasons
  varied with a moderate at summer (6-8 <SUP>∘</SUP>C) and lower in
  winter (4-5 <SUP>∘</SUP>C). However, the contrast between the two
  is significantly small due to cold and extremely dry typical climatic
  conditions of the site. The present study also examined the effects of
  surface and upper-air data along with Planetary Boundary Layer (PBL)
  dynamics with seeing measurement over the site. Further, a comparative
  study of such observed parameters was conducted with other high altitude
  astronomical observatories across the globe.

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Title: Solar Astronomy at High Altitude
Authors: Hasan, S. S.; Bagare, S. P.; Rangarajan, K. E.
2014PINSA..80..815H    Altcode:
  No abstract at ADS

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Title: Transit of Venus on 2012 June 06: stray light estimation
    and restoration of Ca-K images of Twin Telescope from Kodaikanal
    Observatory
Authors: Prabhu, K.; Rangarajan, K. E.; Ravindra, B.;
   Sankarasubramanian, K.; Selvendran, R.; Kumaravel, P.
2013BASI...41..227P    Altcode:
  Observations of the transit of Venus were made from the Kodaikanal
  Observatory on 2012 June 06 in Ca-K wavelengths. Only half of the event
  was visible from India. We utilized this unique opportunity to compute
  the contribution of the scattered light within the Twin Telescope
  optics at Kodaikanal. The instrumental and atmospheric scattered
  light are derived from the model point spread function which is a
  combination of four Gaussians with different widths and weights. The
  restoration procedure has significantly improved the rms contrast of
  the images. The rms contrast of the stray light corrected images are
  almost two fold larger than that those of the uncorrected images. The
  derived network element sizes matches well with previous observations.

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Title: Sunspot Magnetometry from Kodaikanal
Authors: Nagaraju, K.; Sankarasubramanian, K.; Rangarajan, K. E.
2010ASSP...19..504N    Altcode: 2010mcia.conf..504N
  Spectroscopic magnetic field measurements in sunspots have been
  carried out at Kodaikanal since such research was started by John
  Evershed (Evershed 1944). Subsequently, a Stokes polarimeter was
  built by Balasubramaniam and collaborators for the spectrograph at
  the Kodaikanal Tower Telescope (KTT), with the goal of measuring
  vector magnetic fields. Although the achieved accuracy is limited,
  the telescope model developed by them is very accurate (Balasubramaniam
  et al. 1985) and is still used even today to correct for instrumental
  polarization. A similar polarimeter was developed by Sankarasubramanian
  and collaborators, which is more modern in having motorized rotation
  of the polarization optics and in using CCD detectors instead of
  photographic registration on film (Sankarasubramanian et al. 2002). The
  accuracy in magnetic field measurement achieved with this instrument
  was quite high. Very recently, a dual-beam polarimeter has been
  installed, which uses an efficient and well-balanced modulation
  scheme. The calibration and characterization of this instrument are
  presented in Nagaraju et al. (2008b); results on magnetic structuring
  from the photosphere to the chromosphere are presented in Nagaraju et
  al. (2008a, 2009).

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Title: Spectropolarimetry with the NLST
Authors: Sankarasubramanian, K.; Hasan, S. S.; Rangarajan, K. E.
2010ASSP...19..156S    Altcode: 2010mcia.conf..156S
  India's National Large Solar Telescope (NLST) will provide
  opportunities to observe the Sun with high spatial, spectral, and
  polarimetric resolution. The large aperture also enables high-cadence
  spectropolarimetry with moderate spatial resolution. A multi-slit
  spectropolarimeter is planned as one of the back-end instruments for
  this powerful telescope, primarily to measure vector magnetic fields
  in both active and quiet regions. An integral-field unit added with the
  multi-slit spectropolarimeter will enable fast-cadence observation. Here
  we discuss the scientific requirements for such an instrument, along
  with advantages and limitations of the concept and preliminary design
  details.

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Title: Spectropolarimetry of an Active Region at the Photosphere
    and Chromosphere
Authors: Nagaraju, K.; Sankarasubramanian, K.; Rangarajan, K. E.
2009ASPC..405..251N    Altcode:
  Initial results on the simultaneous spectropolarimetric observations of
  an active region at the photosphere and chromosphere are presented. For
  this purpose, the Fe I line at λ6569 and the H I at λ6563 (H
  α) are used. Stratification of the line-of-sight (LOS) velocity
  and magnetic fields above an active region are discussed. The LOS
  magnetic field strengths are derived using the center-of-gravity (COG)
  method and the LOS velocity gradients are derived using the bisector
  technique. From this analysis it is found that both the velocity and
  magnetic gradients are larger in the umbral region above the sunspot
  compared to the penumbral region. And the magnetic field strength
  decreases much faster with height in the umbral region compared to
  the penumbral region. Upflows with larger LOS velocity gradients are
  located in the regions where stronger photospheric fields are observed.

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Title: Magnetic and Velocity Properties of G-Band Bright Points
    Around a Pore
Authors: Rangarajan, K. E.; Sankarasubramanian, K.; Nagaraju, K.
2009ASPC..405..255R    Altcode:
  Physical properties of G-band bright points (GBPs) surrounding a
  pore are studied using observations spanning from photosphere to
  chromosphere. The magnetic field strengths obtained in these bright
  points are of the order of 1.2~kG. These GBPs show very little linear
  polarization and the magnetic field lines are vertical. The observed
  GBPs show a fill-fraction between 20 to 40%, revealing that they
  are smaller than the achieved spatial resolution of 0.2 arcsec. The
  observed GBPs harbor accelerated downflows.

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Title: On the performance of a dual-beam polarimeter at Kodaikanal
    Tower Telescope
Authors: Nagaraju, K.; Sankarasubramanian, K.; Rangarajan, K. E.;
   Ramesh, K. B.; Singh, Jagdev; Devendran, P.; Hariharan
2008BASI...36...99N    Altcode:
  Calibration and characterization of a dual-beam polarimeter installed
  at Kodaikanal Tower Telescope (KTT) for spectropolarimetric observations
  are presented in this paper. It was found that a slit width of 48 μ is
  optimum for the spectrograph setup at KTT and corresponding spectral
  resolution is 32.47 mÅ. It was demonstrated that the precision in
  polarization measurement can be achieved better than 0.1 % by increasing
  the exposure time. However, the polarimetric calibration accuracy is
  limited to 0.35 % for Stokes Q and U parameters and 0.2 % for Stokes
  V parameter, mainly due to the uncertainty in the retardance of the
  calibration retarder. A comparison of the magnetic field measurement
  between the Solar Optical Telescope (SOT) onboard Hinode and KTT for
  an active region was made and a good match was found after spatial
  smearing of Hinode/SOT measurements by 5.12”.

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Title: On the Weakening of the Chromospheric Magnetic Field in
    Active Regions
Authors: Nagaraju, K.; Sankarasubramanian, K.; Rangarajan, K. E.
2008ApJ...678..531N    Altcode: 2008arXiv0801.3128N
  Simultaneous measurement of line-of-sight (LOS) magnetic and velocity
  fields at the photosphere and chromosphere are presented. The Fe I
  line at λ6569 and Hα at λ6563 are used for deriving the physical
  parameters at photospheric and chromospheric heights, respectively. The
  LOS magnetic field obtained through the center-of-gravity method shows
  a linear relation between the photospheric and chromospheric fields for
  field strengths less than 700 G. But in strong field regions, the LOS
  magnetic field values derived from Hα are much weaker than what one
  gets from the linear relationship, and also from those expected from
  the extrapolation of the photospheric magnetic field. We discuss in
  detail the properties of the magnetic field observed in Hα from the
  point of view of observed velocity gradients. The bisector analysis
  of Hα Stokes I profiles shows larger velocity gradients in those
  places where strong photospheric magnetic fields are observed. These
  observations may support the view that the stronger fields diverge
  faster with height compared to weaker fields.

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Title: An efficient modulation scheme for dual beam polarimetry
Authors: Nagaraju, K.; Ramesh, K. B.; Sankarasubramanian, K.;
   Rangarajan, K. E.
2007BASI...35..307N    Altcode: 2007arXiv0710.1694N
  An eight stage balanced modulation scheme for dual beam polarimetry
  is presented in this paper. The four Stokes parameters are weighted
  equally in all the eight stages of modulation resulting in total
  polarimetric efficiency of unity. The gain table error inherent in
  dual beam system is reduced by using the well known beam swapping
  technique. The wavelength dependent polarimetric efficiencies of
  Stokes parameters due to the chromatic nature of the waveplates are
  presented. The proposed modulation scheme produces better Stokes Q
  and V efficiencies for wavelengths larger than the design wavelength
  whereas Stokes U has better efficiency in the shorter wavelength
  region. Calibration of the polarimeter installed as a backend instrument
  of the Kodaikanal Tower Telescope is presented. It is found through
  computer simulation that a 14 % sky transparency variation during
  calibration of the polarimeter can introduce 1.8 % uncertainty in the
  determination of its response matrix.

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Title: Contribution Functions for Stokes Vector Profiles
Authors: Nagaraju, K.; Rangarajan, K. E.
2005BASI...33..357N    Altcode:
  No abstract at ADS

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Title: Study of Modulation and Demodulation Schemes for a Two Beam
    Polarimeter
Authors: Nagaraju, K.; Sankarasubramanian, K.; Ramesh, K. B.;
   Rangarajan, K. E.
2005BASI...33..410N    Altcode:
  No abstract at ADS

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Title: A Two-Beam Spectropolarimeter for Kodaikanal Tower Telscope
Authors: Ramesh, K. B.; Nagaraju, K.; Rangarajan, K. E.;
   Sankarasubramanian, K.
2005BASI...33..410R    Altcode:
  No abstract at ADS

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Title: Digitization of Kodaikanal Data
Authors: Singh, Jagdev; Muneer, S.; Bagare, S. P.; Rangarajan, K. E.;
   Ramesh, K. B.; Varghese, B. A.; Samson, J. P. A.; Devendran, P.;
   Hariharan, G.
2003BASI...31..111S    Altcode:
  No abstract at ADS

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Title: Ground Based Microwave Radiometric Technique in Remote Sensing
Authors: Rangarajan, K. E.; Varghese, B. A.
2003BASI...31..223R    Altcode:
  As an important tool of atmospheric remote sensing, microwave
  radiometers are used for temperature profiling and vapor and liquid
  column measurements. In addition, ice water path can be retrieved using
  radiometer observations. In this review, the potential of radiometers is
  demonstrated by comparison with radiosonde data and observations using
  Global Positioning Systems (GPS). Performance of various mathematical
  retrieval methods for water vapor and cloud liquid water profiles
  using microwave radiometer measurements are compared. These include
  regression methods. Newton iteration and neural networking. A specific
  case of temperature inversion near the ground and its retrieval by
  Philips-Twomay method is discussed.

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Title: Measurement of solar vector magnetic fields using Kodaikanal
    tower telescope
Authors: Sankarasubramanian, R.; Rangarajan, K. E.; Ramesh, K. B.
2002BASI...30..473S    Altcode:
  A Stokes polarimeter was built at the Kodaikanal Tower Telescope to
  study the vector field map of active regions like sunspot using the
  well known Fe I lines 6301.5 Å and 6302.5 Å lines. The Mueller matrix
  of the polarimeter was obtained using simple laboratory and field
  tests. The instrumental polarisation due to the oblique reflections
  are removed before the observed Stokes profiles were analysed. The
  advanced Stokes Polarimeter data analysis program (ASP code) was used to
  invert the corrected Stokes profiles to calculate the vector magnetic
  field parameters of NOAA 8951. The maximum field strength obtained at
  the umbra of the sunspot was 2500 Gauss. The variation of the field
  strength, the line-of-sight angle and the azimuthal angle along a
  cut which passes through the umbra resembles that of a simple round
  sunspot. The accuracy in the calculation of the vector field is high
  in the umbra and low in the outer edge of the penumbra of the observed
  sunspot. The range of errors in the calculation of the field strength,
  line-of-sight inclination angle, and the azimuthal angle of the magnetic
  vector are 20-100 Gauss, 1-5O, and 12-20O respectively. We also find a
  good fit for the observed Stokes profiles of the Ti I line at 6303.78
  Å with a synthetic profile produced using the vector field parameters
  derived from the Fe I 6301.5 Å and 6302.5 Å lines.

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Title: Effects of `Seeing' on Vector Magnetograph Measurements
Authors: Leka, K. D.; Rangarajan, K. E.
2001SoPh..203..239L    Altcode:
  We present a study of the effects of atmospheric seeing on quantities
  derived from observations of solar polarized light - specifically,
  the vector magnetic flux and quantities derived from its magnitude and
  direction. Data from the Imaging Vector Magnetograph (`IVM') at the
  U. Hawaii/Mees Solar Observatory, are degraded by various degrees by
  applying a blur function to the `incoming light', simulating a range
  of seeing conditions. A quantitative study of the resulting effects
  on derived quantities including total magnetic flux, vertical electric
  current density and magnetic shear angles, are discussed as a function
  of the imposed degradation. The generality of the seeing effects is
  explored by comparing the results from two different active regions;
  we find that the results are comparable for those quantities directly
  computed from the magnetic flux vector (e.g., summed, as in total flux)
  but less so for those quantities involving higher-order calculations
  (e.g., derivatives, as in vertical currents). We suggest that for
  temporal series data from any instrument, a method such as that which
  we outline here, be applied in order to model the uncertainties imposed
  on the data (in addition to instrumental uncertainties, etc.) due to
  seeing variations.

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Title: The Effect of “Seeing” on Imaging Vector Magnetograph
    Measurements of Solar Active Regions
Authors: Leka, K. D.; Rangarajan, K. E.
2001AGUSM..SP41B06L    Altcode:
  All ground-based instruments are subject to atmospheric seeing;
  here we attempt to quantify the effects of atmospheric seeing on
  vector magnetograph observations and the parameters derived from
  them. We present the results of our study on the effect of seeing
  using Imaging Vector Magnetograph (IVM) raw data and subsequent
  data reduction. The blurring due to seeing is modeled by convolving
  a Gaussian function with various widths with raw polarization data
  of good-seeing quality to simulate different seeing conditions. The
  IVM data reduction procedure is carried out on all data to arrive
  at vector magnetic flux and velocity images; from these are derived
  commonly used parameters such as vertical current density, shear angle
  and magnetic free energy. We find that poorer seeing conditions during
  observations reduce the derived magnetic field strength, as expected,
  and influence the other parameters in generally expected ways. Our
  study results in defining the limits on uncertainties due to seeing
  in parameters derived from vector magnetic flux observations.

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Title: Parametric Study of Molecular Line Polarization in the Solar
    Atmosphere
Authors: Rangarajan, K. E.; Mohan Rao, D.
2000JApA...21..269R    Altcode:
  No abstract at ADS

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Title: The effect of angle-dependent non-coherent electron scattering
    and partial redistribution on the polarization of resonance lines
Authors: Rangarajan, K. E.
1999MNRAS.308.1053R    Altcode:
  The polarized radiative transfer equation is solved when angle-dependent
  partial redistribution and non-coherent electron scattering are
  included as line-scattering mechanisms. A static atmosphere with
  plane parallel symmetry is assumed. Test calculations are used to
  illustrate the effects of the electron-scattering coefficient, the
  thermalization parameter and the continuous absorption coefficient on
  the line polarization. Results of angle-averaged and angle-dependent
  redistribution functions are compared and it is shown that
  angle-dependent functions should be used to model the wing polarization
  of optically thin lines. The lower the continuous absorption compared
  with the electron scattering, the higher the wing polarization.

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Title: Molecular Line Polarization in the Solar Atmosphere: MGH Lines
Authors: Mohan Rao, D.; Rangarajan, K. E.
1999ApJ...524L.139M    Altcode:
  The polarimetric observations of the quiet Sun show linear polarization
  in molecular lines of C<SUB>2</SUB>, MgH, etc. The molecular lines
  are very faint in the intensity spectrum. We propose that the
  polarization is caused by coherent scattering processes in the
  solar atmosphere as in the case of atomic lines. The intensity
  and polarization profiles of MgH lines are calculated using the
  quiet-Sun model by Vernazza, Avrett, &amp; Loeser. This procedure
  allows us to estimate the oscillator strengths (f), the inelastic
  collisional rates (Γ<SUB>I</SUB>), and the depolarizing elastic
  collision rates (D<SUP>(2)</SUP>) for the molecular line transitions
  in the solar atmosphere. It is found that for the line λ5165.933,
  f=0.04, Γ<SUB>I</SUB>=1.85×10<SUP>7</SUP> s<SUP>-1</SUP>, and
  D<SUP>(2)</SUP>=9.52×10<SUP>6</SUP> s<SUP>-1</SUP>. The line λ5168.147
  fits the observations for f=0.05, Γ<SUB>I</SUB>=2.91×10<SUP>7</SUP>
  s<SUP>-1</SUP>, and D<SUP>(2)</SUP>=3.69×10<SUP>7</SUP> s<SUP>-1</SUP>.

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Title: Effect of waves on resonance scattering polarization in
    solar atmosphere
Authors: Rangarajan, K. E.
1999ASSL..243..179R    Altcode: 1999sopo.conf..179R
  No abstract at ADS

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Title: Resonance line polarization in the presence of wave motion.
Authors: Rangarajan, K. E.
1997A&A...320..265R    Altcode:
  The effect of wave velocity on resonance line polarization is
  studied. We assumed a photosphere - chromosphere type of temperature
  structure for the atmosphere with plane parallel symmetry. The
  "Discrete Space Theory technique" to solve the polarized radiative
  transfer in the presence of velocity fields and under the assumption
  of Complete Redistribution mechanism is briefly described along
  with the numerical checks performed. We considered both sinusoidal
  and sawtooth wave functions for the velocity in the medium. We find
  the linear polarization in the resonance lines to be increased when
  averaged over the whole period of the wave compared to the static
  medium case. The sawtooth wave shows a different average polarization
  profile compared to the sinusoidal wave. Line center intensity as
  well as the polarization vary with a period which is half of that of
  the wave. The variation amplitude for polarization is higher compared
  to the intensity towards the limb. Hence polarization in the limb may
  serve as an additional useful information to characterize the wave.

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Title: Non-conservative Rayleigh scattering in a finite
    atmosphere-II. Polarization in telluric lines
Authors: Mohan Rao, D.; Rangarajan, K. E.; Abhyankar, K. D.
1995BASI...23..446M    Altcode:
  No abstract at ADS

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Title: Non-conservative Rayleigh scattering in a finite atmosphere -
    II. Polarization in telluric lines
Authors: Mohan Rao, D.; Rangarajan, K. E.; Abhyankar, K. D.
1995BASI...23..211M    Altcode:
  We consider non-conservative Rayleigh scattering in finite
  atmospheres and study the polarization in the molecular lines both
  in the transmitted and reflected sunlight. We first investigate the
  parameterized models to estimate the effects of optical thickness, line
  strength, continuous absorption etc. on line polarization. This study
  helped us to analyse some typical O<SUB>2</SUB> and H<SUB>2</SUB>O
  band lines in the earth's atmosphere. For the chosen parameters,
  we find that the polarization is more sensitive to optical thickness
  than the line strength. The continuous absorption affects the wing
  polarization selectively.

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Title: Non-conservative Rayleigh scattering in a finite
    atmosphere. I. Polarization of skylight
Authors: Rangarajan, K. E.; Mohan Rao, D.; Abhyankar, K. D.
1994BASI...22..465R    Altcode:
  Non-conservative Rayleigh scattering in finite atmospheres is
  studied for various values of ω where ω is the albedo for single
  scattering. The atmosphere is stratified into plane-parallel homogeneous
  layers. The sky polarization is plotted for certain typical positions
  of the sun. <P />We find that for the transmitted light the Babinet and
  Brewster neutral points in the principal meridian are brought closer
  to the sun for the lesser value of ω, while the Arago neutral point
  moves towards the anti-solar point with decreasing ω. As the albedo
  ω decreases, we get higher amount of polarization in the region where
  I<SUB>l</SUB> &lt; I<SUB>r</SUB> but lower amount of polarization where
  I<SUB>l</SUB> &gt; I<SUB>r</SUB>. Here I<SUB>l</SUB> and I<SUB>r</SUB>

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Title: Polarized resonance line transfer with collisional
    redistribution
Authors: Mohan Rao, D.; Rangarajan, K. E.
1993A&A...274..993M    Altcode:
  In this paper we study the effect of depolarizing collisions on
  resonance line polarization in the absence of magnetic fields. The
  role of γ, the coherence parameter is investigated in determining the
  percentage of polarization across the spectral line profiles. We also
  try to find out whether the partial frequency redistribution function
  R<SUB>III</SUB> (which describes the frequency redistribution due to
  collisions) can be replaced by the complete redistribution (CRD, i.e
  φ(χ)φ(x‧)) in resonance line polarization calculations. We have
  chosen idealized models to illustrate the differences in polarization
  when CRD, R<SUB>III</SUB>, and R<SUB>II</SUB> functions are used
  in the radiative transfer calculations. We considered isothermal,
  effectively thin and semi-infinite atmospheres. R<SUB>III</SUB>
  function gives different polarization in the Doppler core compared to
  CRD when depolarizing collisions are neglected, but it gives the same
  polarization as CRD in the wings in all circumstances. It is proposed
  that any redistribution function which is different from φ(χ)φ(x‧)
  at certain frequencies is likely to show different polarization compared
  to CRD at those frequencies even though the total specific intensities
  may not differ. <P />We find that the percentage of polarization at
  the line centre to be a monotonic function of the parameter γ when
  depolarizing collisions are included in the calculations. This important
  aspect is absent if the depolarizing collisions are neglected. Therefore
  one may use this property for diagnostic purposes. The character of
  the wing polarization is altered when γ = 0.9 compared to γ = 1.0
  (R<SUB>II</SUB> redistribution). Therefore γ is an important parameter
  while evaluating the wing polarization. We find that CRD may be a
  good approximation to R<SUB>III</SUB> when depolarizing collisions
  are included in the approximation.

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Title: The combined effect of partial redistribution and non-coherent
    electron scattering on polarized resonance line transfer
Authors: Nagendra, K. N.; Rangarajan, K. E.; Rao, D. M.
1993MNRAS.262..855N    Altcode:
  The combined effect of partial frequency redistribution by atoms
  (PRD) and noncoherent electron scattering (NCES) on line formation is
  studied, taking account of the polarization state of the radiation
  field in resonance line scattering. For the purpose of comparison,
  a study is also made of redistribution by other mechanisms, namely
  complete redistribution and coherent scattering (CS) combined with
  NCES. A static medium stratified into plane-parallel homogeneous
  layers is considered. A conventional two-level atom approximation is
  employed as the basic model. The emergent linear polarization profile
  exhibits interesting characteristics in its variation across the line
  profile. Atomic redistribution plays an important role at the line
  core and the near wings of the resonance line. Electron scattering,
  however, makes significant contributions in the far wings (x is greater
  than 10). For resonance lines with high optical thickness, NCES leads
  to measurable changes of polarization in the far wings irrespective
  of the atomic scattering mechanism employed.

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Title: The effects of non-coherent electron scattering on spectral
    line formation
Authors: Rangarajan, K. E.; Mohan Rao, D.; Peraiah, A.
1991MNRAS.250..633R    Altcode:
  Spectral line profiles from a plane-parallel homogeneous atmosphere have
  been calculated for the complete and partial redistribution mechanisms
  (CRD and PRD) including coherent and noncoherent electron scattering. It
  is found that in all the cases where the electron scattering coefficient
  is more than the continuous absorption coefficient, there are measurable
  changes in the spectral line profiles. In such situations, the PRD
  profiles have more emission hump compared to CRD profiles in the
  intermediate frequency range. Extended wings and additional broadening
  of the line profiles are obtained for the case of noncoherent electron
  scattering compared to coherent electron scattering. These results have
  implications in the derivation of physical properties (for example,
  microturbulent velocities) of stellar atmospheres from spectral lines.

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Title: The Effects of Electron Scattering on the Si II 1816 Line in
    the Solar Chromosphere (With 1 Figure)
Authors: Rangarajan, K. E.; Rao, D. M.
1991mcch.conf...63R    Altcode:
  No abstract at ADS

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Title: Effects of stimulated emission on radiative transfer with
    partial redistribution.
Authors: Rangarajan, K. E.; Mohan Rao, D.; Peraiah, A.
1990A&A...235..305R    Altcode:
  The authors study the non-LTE line transfer with stimulated
  emission. Stimulated emission is important for red transitions
  in hot stars and infrared transitions in cool stars. The authors
  investigate the deviation of the absorption and emission profiles
  from each other for a two-level atomic model with the line scattering
  described by the angle-averaged redistribution functions. The partial
  redistribution formalism has been used while solving the radiative
  transfer equation. The correct expression for the source function
  derived by Baschek, Mihalas and Oxenius (1981) has been employed to
  obtain the emission profile and the radiation field. From this study,
  the authors have obtained the following results: the redistribution
  function R<SUB>III</SUB> gives the emission profile same as that of
  the absorption profile (like complete redistribution) in the core and
  also in the wings but with a small enhancement at the intermediate
  frequency points whether stimulated emission is present or not. The
  emergent emission profile is different from the absorption profile by
  several factors in the wings for R<SUB>II</SUB>.

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Title: Effect of the Time Spent by the Photon in the Absorbed State
    on the Time-dependent Transfer of Radiation
Authors: Rao, D. Mohan; Rangarajan, K. E.; Peraiah, A.
1990ApJ...358..622R    Altcode:
  The time-dependent transfer equation is derived for a two-level atomic
  model which takes both bound-bound and bound-free transitions into
  account. A numerical scheme is proposed for solving the monochromatic
  time-dependent transfer equation when the time spent by the photon in
  the absorbed state is significant. The method can be easily extended
  to solve the problem of time-dependent line formation of the bound-free
  continuum. It is used here to study three types of boundary conditions
  of the incident radiation incident on a scattering atmosphere. The
  quantitative results show that the relaxation of the radiation field
  depends on the optical depth of the medium and on the ray's angle
  of emergence.

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Title: Simulation of multiple aperture synthesis.
Authors: Saha, S. K.; Jayarajan, A. P.; Rangarajan, K. E.; Chatterjee,
   S.
1988ESOC...29..661S    Altcode: 1988hrii.conf..661S
  In view of the importance of multiple aperture synthesis in optical
  astronomy, a computer simulation of the same is demonstrated. The fringe
  patterns obtained through the aperture mask of six and nine holes
  arranged non-redundantly along a circle, are reported. The intensity
  distribution formula at the focal plane, for interference of n beams
  is presented. The effect of phase randomness on the focal intensity
  distribution is also experimentally studied.

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Title: VRI Photometry of LMC SN 1987A
Authors: Rangarajan, K. E.; Jayakumar, K.; Appakutty, M.; Sheriff,
   H. D.
1987IBVS.3051....1R    Altcode:
  No abstract at ADS

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Title: Preliminary Analysis of the Broad he i Emission Lines in R CrB
Authors: Surendiranath, R.; Rangarajan, K. E.; Kameswara Rao, N.
1986hdsr.proc..199S    Altcode: 1986IAUCo..87..199S
  No abstract at ADS

---------------------------------------------------------
Title: Effects of partial frequency redistribution functions R(II),
    R(III) and R(V) on source functions
Authors: Mohan Rao, D.; Rangarajan, K. E.; Peraiah, A.
1984JApA....5..169M    Altcode:
  The effects of partial frequency redistribution on the formation of
  spectral lines have been studied. The angle-averaged R(II), R(III)
  and R(V) types of redistribution with isotropic phase function have
  been considered. Transfer equation with plane-parallel geometry is
  solved in isothermal atmospheres. For an atmosphere with constant
  thermal sources, the frequency-dependent source function S/L/(R/V/)
  lies below S/L/(R/III/) but above S/L/(R/II/) in the line wings.

---------------------------------------------------------
Title: Effects of redistribution with dipole scattering on line
    source functions
Authors: Peraiah, A.; Rangarajan, K. E.
1981JApA....2..245P    Altcode:
  The partial frequency redistribution function for zero natural line
  width and dipole scattering is used to obtain a simultaneous solution
  of the statistical equilibrium and line transfer equations in the
  comoving frame of an expanding gas. A non-LTE, two-level atom in an
  expanding spherical medium is considered, and the population ratio of
  the two levels, N2/N1, is calculated. The upper level population (N2),
  initially set equal to zero, is found to be enhanced significantly
  from its initial value. Variation in the velocity gradient had little
  effect on the N2/N1 ratio when the geometrical thickness of the medium
  was three or ten times the stellar radius; when the thickness was
  increased to twenty times the central radius, however, the velocity
  gradients changed this ratio considerably in the region where log T
  is less than or equal to two, T being the total optical depth.

---------------------------------------------------------
Title: Photon escape probabilities in expanding atmospheres
Authors: Peraiah, A.; Rangarajan, K. E.; Rao, D. M.
1981JApA....2...81P    Altcode:
  A comparison of mean number of scatterings and escape probabilities
  has been made in isotropic scattering and dipole scattering by using
  the angle-averaged partial frequency redistribution function. The
  equations of radiative transfer and statistical equilibrium have
  been solved simultaneously in a spherically symmetric expanding
  atmosphere. Two cases of atmospheric extension where the ratios of
  outer to inner atmospheric radii are 3 and 10 have been treated. It
  is found that the partial frequency redistribution gives a larger
  mean number of scatterings compared to that given by complete
  redistribution. Velocities tend to reduce the mean number of scatterings
  and increase the mean escape probabilities.

---------------------------------------------------------
Title: Effects of velocities on Ca II H and K lines.
Authors: Rangarajan, K. E.; Mohan Rao, D.; Peraiah, A.
1981KodOB...3...75R    Altcode:
  With a chosen model atmosphere, the authors find double peaked emission
  for H and K lines in the static medium. The results show that the
  systematic velocity fields do play a significant role in determining
  the shape of the H and K profiles.

---------------------------------------------------------
Title: Coronal photography at H alpha.
Authors: Rangarajan, K. E.; Giridhar, S.
1981otse.conf...25R    Altcode:
  No abstract at ADS