Astrophysics and Space Science

, Volume 165, Issue 2, pp 261–297 | Cite as

Time-dependentX- andY-functions for anisotropically scattering inhomogeneous atmosphere by principle of invariance

  • S. Karanjai
  • G. Biswas
Article

Abstract

The nonlinear integral equations forX- andY-functions have been developed for an inhomogeneous atmosphere scattering anisotropically using the principle of invariance. The anisotropy is represented by means of a phase function expressed in terms of finite-order Legendre polynomials.

Keywords

Atmosphere Anisotropy Integral Equation Phase Function Legendre Polynomial 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chandrasekhar, S.: 1960,Radiative Transfer, Dover Reprint.Google Scholar
  2. Matsumoto, M.: 1967a,Publ. Astron Soc. Japan 19, 163.Google Scholar
  3. Matsumoto, M.: 1967b,Publ. Astron Soc. Japan 19, 434.Google Scholar
  4. Matsumoto, M.: 1969,Publ. Astron Soc. Japan 21, 1.Google Scholar
  5. Ueno, S.: 1965,J. Math. Anal. Appl. 11, 11.Google Scholar

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • S. Karanjai
    • 1
  • G. Biswas
    • 1
  1. 1.Department of MathematicsNorth Bengal UniversityWest BengalIndia

Personalised recommendations