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Solution of Linear Radiative Transfer Problems in Plane-Parallel Atmospheres. III

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This paper examines the problem of determining the statistical averages describing the diffusion of radiation in an inhomogeneous plane-parallel atmosphere. The method of invariant imbedding is used to find the mean number of scattering events and the average traveling time of different groups of photons in the medium. In all cases the problem reduces to solving integro-differential equations of the same form with specified initial conditions, which is easy to realize by numerical calculation.

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References

  1. A. G. Nikoghossian, Astron. Astrophys. 422, 1059 (2004).

    Article  ADS  Google Scholar 

  2. A. G. Nikoghossian, Astrofizika 54, 617 (2011).

    Google Scholar 

  3. A. G. Nikoghossian, Astrofizika 55, 293 (2012).

    Google Scholar 

  4. J. Casti and R. Kalaba, Imbedding Methods in Applied Mathematics, Addison-Wesley Co., Mass. (1973).

    MATH  Google Scholar 

  5. W. M. Irvine, Bull. Astron. Inst. Netherl. 17, 266 (1964).

    ADS  Google Scholar 

  6. W. M. Irvine, Astrophys. J. 144, 1140 (1966).

    Article  ADS  Google Scholar 

  7. V. V. Ivanov, Astrofizika 6, 643 (1970).

    MathSciNet  ADS  Google Scholar 

  8. V. V. Ivanov, Astrofizika 52, 29 (2009).

    Google Scholar 

  9. V. V. Ivanov, Radiative Transfer and the Spectra of Celestial Objects [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  10. A. G. Nikoghossian, Astrofizika 21, 323 (1984).

    MathSciNet  ADS  Google Scholar 

  11. A. G. Nikoghossian, Astrofizika 24, 149 (1986).

    ADS  Google Scholar 

  12. V. A. Ambartsumian, Uchenye zapiski LGU 22, 14 (1938).

    Google Scholar 

  13. V. A. Ambartsumian, Scientific Papers, vol. 1 [in Russian], Izd-vo. AN Arm. SSR, Erevan (1960).

    Google Scholar 

  14. A. G. Nikoghossian, Astrofizika 27, 335 (1987).

    ADS  Google Scholar 

  15. A. G. Nikoghossian, Astrofizika 47, 289 (2004).

    Google Scholar 

  16. A. G. Nikoghossian, Astrofizika 49, 263 (2006).

    Google Scholar 

  17. V. A. Ambartsumian, DAN ArmSSR 8, 101 (1948).

    Google Scholar 

  18. V. V. Sobolev, Radiative Transfer in the Atmospheres of Stars and Planets [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

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Correspondence to A. G. Nikoghossian.

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Translated from Astrofizika, Vol. 56, No. 1, pp. 143–153 (February 2013).

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Nikoghossian, A.G. Solution of Linear Radiative Transfer Problems in Plane-Parallel Atmospheres. III. Astrophysics 56, 130–141 (2013). https://doi.org/10.1007/s10511-013-9273-x

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  • DOI: https://doi.org/10.1007/s10511-013-9273-x

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