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A quasi-classical method for deriving the equations of radiative transfer in a magnetic field

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Abstract

A new derivation of the matrix equations of radiative transfer in a magnetic field is presented, which is based on the classical approach of M. Born and V.E. Stepanov. Convenient vector relations making it possible to formulate the radiative-transfer equations in an arbitrary coordinate system and choose a convenient system of Stokes parameters are presented. The cases of the solar atmosphere and a stellar atmosphere with a dipolar magnetic field are presented as examples. The use of the radiative-transfer equations written in terms of two main oscillation components (the method of V.E. Stepanov) can lead to crude errors when the complex nature of the absorption coefficients is taken into account.

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References

  1. W. Unno, Publ. Astron. Soc. Jpn. 8, 108 (1956).

    ADS  Google Scholar 

  2. V. E. Stepanov, Izv. Krymsk. Astrofiz.Observ. 18, 136 (1958).

    Google Scholar 

  3. V. E. Stepanov, Izv. Krymsk. Astrofiz. Observ. 19, 20 (1958).

    Google Scholar 

  4. D. N. Rachkovskii, Izv. Krymsk. Astrofiz. Observ. 25, 277 (1961).

    Google Scholar 

  5. D. N. Rachkovskii, Izv. Krymsk. Astrofiz. Observ. 26, 63 (1961).

    ADS  Google Scholar 

  6. D. N. Rachkovskii, Izv. Krymsk. Astrofiz. Observ. 27, 148 (1962).

    Google Scholar 

  7. D. N. Rachkovskii, Izv. Krymsk. Astrofiz. Observ. 37, 56 (1967).

    ADS  Google Scholar 

  8. D. N. Rachkovskii, Izv. Krymsk. Astrofiz. Observ. 40, 56 (1969).

    Google Scholar 

  9. J. M. Beckers, Solar Phys. 9, 372 (1969).

    Article  ADS  Google Scholar 

  10. D.N. Rachkovskii, Izv. Krymsk. Astrofiz. Observ. 44, 64 (1972).

    ADS  Google Scholar 

  11. J. O. Stenflo, Solar Magnetic Fields—Polarized Radiation Diagnostic (Kluwer, Dordrecht, 1994).

    Book  Google Scholar 

  12. E. Landi Degl’Innocenti, Astron. Astrophys. Suppl. Ser. 25, 379 (1976).

    ADS  Google Scholar 

  13. M. Born, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (ONTI, Gos. Nauchn.-Tekhn. Izd. Ukrainy, Khar’kov, Kiev, 1937; Cambridge Univ. Press, 1999).

    Google Scholar 

  14. F. Matta and A. Reichel, Math. Comp. 25, 339 (1971).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Crimean Astrophysical Observatory, Nauchnyi, Crimea, Ukraine

    D. N. Rachkovskii

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  1. D. N. Rachkovskii
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Correspondence to D. N. Rachkovskii.

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Original Russian Text © D.N. Rachkovskii, 2013, published in Astronomicheskii Zhurnal, 2013, Vol. 90, No. 10, pp. 836–847.

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Rachkovskii, D.N. A quasi-classical method for deriving the equations of radiative transfer in a magnetic field. Astron. Rep. 57, 766–777 (2013). https://doi.org/10.1134/S1063772913100053

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  • DOI: https://doi.org/10.1134/S1063772913100053

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