Comment on: Diffusion through a slab
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
Mahan [J. Math. Phys. 36, 6758 (1995)] has calculated the transmission coefficient and angular distribution of particles which enter a thick slab at normal incidence and which diffuse in the slab with linear anisotropic, non-absorbing, scattering. Using orthogonality relations derived by McCormick & Kuscer [J. Math. Phys. 6, 1939 (1965); 7, 2036 (1966)] for the eigenfunctions of the problem, this calculation is generalised to a boundary condition with particle input at arbitrary angles. It is also shown how to use the orthogonality relations to relax in a simple way the restriction to a thick slab.
Cite
@article{arxiv.physics/9803033,
title = {Comment on: Diffusion through a slab},
author = {U. D. J. Gieseler and J. G. Kirk},
journal= {arXiv preprint arXiv:physics/9803033},
year = {2009}
}
Comments
3 pages, LaTeX, uses RevTeX