Skip to main content
SpringerLink
Log in

On the solution of the radiative transfer equations for polarized radiation

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

A general formalism is presented to obtain an analytical solution of the radiative transfer equations for polarized radiation when the absorption Mueller matrix for the Stokes parameters is constant along the ray-path. The formalism is then applied to find an analytical approximation of the Stokes parameters profiles for a typical chromospheric line having an optical-depth dependence of the source function of the form S(τ) = (ɛ + δ)1/2(1 + ɛ)1/2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Abramowitz, M. and Stegun, I. A.: 1970, Handbook of Mathematical Functions, National Bureau of Standards.

  • Athay, R. G.: 1972, Radiation Transport in Spectral Lines, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Auer, L. H., Heasley, J. N., and House, L. L.: 1977, Solar Phys. 55, 47.

    Google Scholar 

  • Gradshtein, I. S. and Ryzhik, I. M.: 1965, Tables of Integrals, Series, and Products, Academic Press, New York and London.

    Google Scholar 

  • Kjeldseth-Moe, O.: 1968, Solar Phys. 4, 267.

    Google Scholar 

  • Landi Degl'Innocenti, E.: 1976, Astron. Astrophys. Suppl. 25, 379.

    Google Scholar 

  • Landi Degl'Innocenti, E.: 1978, Astron. Astrophys. 66, 119.

    Google Scholar 

  • Landi Degl'Innocenti, E.: 1983, Solar Phys. 85, 3.

    Google Scholar 

  • Landi Degl'Innocenti, E. and Landi Degl'Innocenti, M.: 1981, Il Nuovo Cimento 62B, 1.

    Google Scholar 

  • Landi Degl'Innocenti, E. and Landolfi, M.: 1983, Solar Phys. 87, 221.

    Google Scholar 

  • Landolfi, M., Landi Degl'Innocenti, E., and Arena, P.: 1984, Solar Phys. 93, 269.

    Google Scholar 

  • Rees, D. E.: 1969, Solar Phys. 10, 268.

    Google Scholar 

  • Šidlichovský, M.: 1976, Bull. Astron. Inst. Czech. 27, 71.

    Google Scholar 

  • Skumanich, A. and Lites, B. W.: 1984, in preparation.

  • Unno, W.: 1956, Publ. Astron. Soc. Japan 8, 108.

    Google Scholar 

  • Van Ballegooijen, A. A.: 1984, Proceedings of the MSFC Workshop on Measurements of Solar Magnetic Fields (in press).

  • Wittmann, A.: 1974, Solar Phys. 35, 11.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Astronomia, Universitá dl Firenze, France

    E. Landi Degl'innocenti

  2. High Altitude Observatory, National Center for Atmospheric Research, France

    E. Landi Degl'innocenti

  3. Gruppo Nazionale di Astronomia, Unitá di Ricerca di Arcetri, France

    M. Landi Degl'innocenti

Authors
  1. E. Landi Degl'innocenti
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Landi Degl'innocenti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Degl'innocenti, E.L., Degl'innocenti, M.L. On the solution of the radiative transfer equations for polarized radiation. Sol Phys 97, 239–250 (1985). https://doi.org/10.1007/BF00165988

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00165988

Keywords

Search

Navigation