Reduction to H-functions in Radiative Transfer with a General Anisotropic Phase Function
Abstract
The solution of the diffusion problem in an unbounded homogeneous medium, containing the KuAcer polynomials, and the solution of the reflection function against a semi-infinite atmosphere, containing the Busbridge polynomials and the H4unction, are reviewed. It is shown that the solution of the Milne problem for non-conservative scattering is expressible in the same polynomials, the characteristic root and the H-function The derivation is simple with the help of a new integral containing a combination of these polynomials and the H-function. Some additional constants and the transition to conservative scattering are discussed. In spite of the simplification reached in this paper, the reduction to H-functions is not recommended as a practical method if the phase function contains Legendre polynomials of large order.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- December 1970
- Bibcode:
- 1970A&A.....9..359V