Exact and unique solution of a transport equation in a semi-infinite medium by Laplace transform and Wiener-Hopf technique

Abstract

The equation of radiative transfer in non-conservative case for diffuse reflection in a plane-parallel semi-infinite atmosphere with axial symmetry has been solved by Laplace transform and Wiener-Hopf technique. We have determined the emergent intensity in terms of Chandrasekhar's H-function and the intensity at any optical depth by inversion.

Anisotropic Scattering in Accordance with Pomraning Phase Function

“…Ghosh, Mukherjee and Karanjai (2004) studied some approximate form of H-function already studied by Karanjai (1968) and Karanjai and Sen (1971) to the case of anisotropically scattering atmosphere with Pomraning Phase function. Islam, Mukherjee, and Karanjai (2004) solved the equation of radiative transfer with Pomraning Phase function and a non-linear source in a plane semi-infinite atmosphere with axial symmetry by Laplace Transform and Wiener-Hopf technique. They determined the emergent intensity in terms of Chandrasekhar's H-function and the intensity at any optical depth by inversion.…”