Skip to main content

Effect of Continuum Scattering on the Statistical and Temporal Characteristics of Spectral Line Formation

Some new results from our study of the effect of continuum scattering on different observed characteristics of spectral lines are presented. The main purpose is to study temporal variations in line profiles and some statistical averages describing the diffusion of radiation in a medium. For simplicity the one dimensional problem of the formation of a spectral line of unit intensity in the continuum during reflection from a semi-infinite atmosphere is examined. The possibility of solving the steady-state problem analytically in the form of a Neumann series makes it possible to construct the corresponding solution of the nonstationary problem quite easily. Numerical calculations illustrate the differences in the evolution of the profiles and other characteristics between emission and absorption lines.

This is a preview of subscription content, access via your institution.

References

  1. 1.

    A. G. Nikoghossian, Astrophysics 63, 534 (2020).

    Article  Google Scholar 

  2. 2.

    G. L. Israelian and A. G. Nikoghossian, J. Quant. Spectrosc. Radiat. Transfer 56, 501 (1996.

    ADS  Article  Google Scholar 

  3. 3.

    A. G. Nikoghossian, ComBAO 67, 1 (2020).

    ADS  Article  Google Scholar 

  4. 4.

    A. G. Nikoghossian, ComBAO 67, 21 (2020).

    ADS  Article  Google Scholar 

  5. 5.

    S. C. Wolf, The A-type Stars, Problems and Perspectives, NASA, Sp. 46 (1983).

  6. 6.

    V. A. Ambartsumyan, Trudy AO LGU 23, 6 (1938).

    Google Scholar 

  7. 7.

    G. A. Arutyunyan and A. G. Nikoghossian, DAN SSSR 242, 66 (1978).

    Google Scholar 

  8. 8.

    V. A. Ambartsumyan, DAN ArmSSR 8, 101 (1948).

    Google Scholar 

  9. 9.

    V. A. Ambartsumyan, Scientific Papers, vol. 1 [in Russian], Izd. AN ArmSSR, Erevan (1960).

  10. 10.

    A. G. Nikoghossian, Astrophysics 21, 528 (1984).

    ADS  Google Scholar 

  11. 11.

    A. G. Nikoghossian, Astrophysics, 24, 89 (1986).

    ADS  Article  Google Scholar 

  12. 12.

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

    Google Scholar 

  13. 13.

    I. N. Minin, Vestnik LGU 13, 137 (1959).

    MathSciNet  Google Scholar 

  14. 14.

    I. N. Minin, DAN SSSR 154, 1059 (1964).

    MathSciNet  Google Scholar 

  15. 15.

    M. Matsumoto, J. Math. Anal. Appl. 51, 403 (1976).

    Article  Google Scholar 

  16. 16.

    B. D. Ganapol, J. Quant. Spectrosc. Radiat. Transfer 25, 159 (1981).

    ADS  Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to A. G. Nikoghossian.

Additional information

Translated from Astrofizika, Vol. 64, No. 3, pp. 389-399, August 2021.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Nikoghossian, A.G. Effect of Continuum Scattering on the Statistical and Temporal Characteristics of Spectral Line Formation. Astrophysics 64, 345–354 (2021). https://doi.org/10.1007/s10511-021-09694-z

Download citation

Keywords

  • continuum scattering
  • Schuster mechanism
  • Erlang-n distribution
  • emission and absorption spectral lines