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Solution of Vector Equation of Transfer in a Finite Plane Parallel Media

Year 2018, Volume: 39 Issue: 3, 703 - 713, 30.09.2018

Menekşe Şenyiğit

https://doi.org/10.17776/csj.433618

Abstract

HN method is used for the solution of
vector equation of transfer, which includes two Stokes parameters, with a
combination of Rayleigh and isotropic scattering in a finite plane-parallel
atmosphere. The behavior of albedo and transmission factor are obtained
according to the slab thickness and reflection coefficient.

Keywords

Vector equation of transfer Rayleigh scattering Stokes parameters albedo transmission factor

References

  • [1] Chandrasekhar S., Radiative Transfer, Oxford U.P., London (1950).
  • [2] Siewert C. E., On Using the FN Method for Polarization Studies in Finite Plane-Parallel Atmospheres, J. Quant. Spectrosc. Radiat. Transf., 21 (1979) 35-39.
  • [3] Maiorino J. R. and Siewert C. E., The FN Method for Polarization Studies-II Numerical Results, J. Quant. Spectrosc. Radiat. Transf., 24, (1980) 159-165.
  • [4] Ganapol B. D., A 1D Radiative Transfer Benchmark with Polarization via Doubling and Adding, J. Quant. Spectrosc. Radiat. Transf., 201 (2017) 236-250.
  • [5] Kaşkaş A., HN Yöntemini Düzlem Geometrideki Polarizasyon Problemlerine Uygulanması, Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, 19-4 (2007) 449-453.
  • [6] Burniston E. E. and Siewert C. E., Half-Range Expansion Theorems in Studies of Polarized Light, J. Math. Phys., 11 (1970) 3416-3420.
  • [7] Schnatz T. W. and Siewert C. E., Radiative Transfer in a Rayleigh-Scattering Atmosphere with True Absorption, J. Math.Phys., 11 (1970) 2733-2739.
  • [8] Karahasanoğlu Şenyıgıt M. and Kaşkaş A., The HN Method for Milne Problem with Polarization, Astrophys Space Sci, 310 (2007) 85-91.
  • [9] Şenyiğit M., Half Space Albedo Problem for The Nonconservative Vector Equation of Transfer with A Combination of Rayleigh and Isotropic Scattering, Astrophys Space Sci, 361 (2016) 1-6.
  • [10] Tezcan C., Kaşkaş A., Güleçyüz M. Ç., The HN Method for Solving Linear Transport Equation: Theory and Applications, J. Quant. Spectrosc. Radiat. Transf., 78 (2003) 243-254.
  • [11] Kaşkaş A., Güleçyüz M. Ç., Tezcan C., The Slab Albedo Problem Using Singular Eigenfunctions and The Third Form of the Transport Equation, Ann Nucl. Energy, 23 No. 17 (1996) 1371-1379.

Sonlu Bir Düzlem Paralel Ortamda Vektör Transfer Denkleminin Çözümü

Year 2018, Volume: 39 Issue: 3, 703 - 713, 30.09.2018

Menekşe Şenyiğit

https://doi.org/10.17776/csj.433618

Abstract

Bir sonlu düzlem
parallel atmosferde Rayleigh ve izotropik saçılma durumunun bir
kombinasyonunda, iki Stokes parametresini içeren vektör transfer denkleminin
çözümü için HN metodu kullanılmıştır. Albedonun ve iletim faktörünün
davranışı slab kalınlığına ve yansıma katsayına bağlı olarak elde edilmiştir.

Keywords

Vektör transfer denklemi Rayleigh saçılması Stokes parametreleri albedo iletim faktörü

References

  • [1] Chandrasekhar S., Radiative Transfer, Oxford U.P., London (1950).
  • [2] Siewert C. E., On Using the FN Method for Polarization Studies in Finite Plane-Parallel Atmospheres, J. Quant. Spectrosc. Radiat. Transf., 21 (1979) 35-39.
  • [3] Maiorino J. R. and Siewert C. E., The FN Method for Polarization Studies-II Numerical Results, J. Quant. Spectrosc. Radiat. Transf., 24, (1980) 159-165.
  • [4] Ganapol B. D., A 1D Radiative Transfer Benchmark with Polarization via Doubling and Adding, J. Quant. Spectrosc. Radiat. Transf., 201 (2017) 236-250.
  • [5] Kaşkaş A., HN Yöntemini Düzlem Geometrideki Polarizasyon Problemlerine Uygulanması, Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, 19-4 (2007) 449-453.
  • [6] Burniston E. E. and Siewert C. E., Half-Range Expansion Theorems in Studies of Polarized Light, J. Math. Phys., 11 (1970) 3416-3420.
  • [7] Schnatz T. W. and Siewert C. E., Radiative Transfer in a Rayleigh-Scattering Atmosphere with True Absorption, J. Math.Phys., 11 (1970) 2733-2739.
  • [8] Karahasanoğlu Şenyıgıt M. and Kaşkaş A., The HN Method for Milne Problem with Polarization, Astrophys Space Sci, 310 (2007) 85-91.
  • [9] Şenyiğit M., Half Space Albedo Problem for The Nonconservative Vector Equation of Transfer with A Combination of Rayleigh and Isotropic Scattering, Astrophys Space Sci, 361 (2016) 1-6.
  • [10] Tezcan C., Kaşkaş A., Güleçyüz M. Ç., The HN Method for Solving Linear Transport Equation: Theory and Applications, J. Quant. Spectrosc. Radiat. Transf., 78 (2003) 243-254.
  • [11] Kaşkaş A., Güleçyüz M. Ç., Tezcan C., The Slab Albedo Problem Using Singular Eigenfunctions and The Third Form of the Transport Equation, Ann Nucl. Energy, 23 No. 17 (1996) 1371-1379.
There are 11 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Menekşe Şenyiğit

Publication Date September 30, 2018
Submission Date June 13, 2018
Acceptance Date July 12, 2018
Published in Issue Year 2018Volume: 39 Issue: 3

Cite

APA Şenyiğit, M. (2018). Solution of Vector Equation of Transfer in a Finite Plane Parallel Media. Cumhuriyet Science Journal, 39(3), 703-713. https://doi.org/10.17776/csj.433618