dorsal/arxiv
View SchemaComment on: Diffusion through a slab
| Authors | U. D. J. Gieseler, J. G. Kirk |
|---|---|
| Categories | |
| ArXiv ID | physics/9803033 |
| URL | https://arxiv.org/abs/physics/9803033 |
| DOI | 10.1063/1.531985 |
| Journal | J. Math. Phys. 38, 2751 (1997) |
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.
{
"annotation_id": "89dd0638-170a-4645-a04d-33a64e7b27a2",
"date_created": "2026-03-02T18:01:21.227000Z",
"date_modified": "2026-03-02T18:01:21.227000Z",
"file_hash": "90dcf379bc7fc46c57c5e282e979f8a71dd7925f905d11e00c05ac7e671a639d",
"private": false,
"record": {
"abstract": "Mahan [J. Math. Phys. 36, 6758 (1995)] has calculated the transmission\ncoefficient and angular distribution of particles which enter a thick slab at\nnormal incidence and which diffuse in the slab with linear anisotropic,\nnon-absorbing, scattering. Using orthogonality relations derived by McCormick \u0026\nKuscer [J. Math. Phys. 6, 1939 (1965); 7, 2036 (1966)] for the eigenfunctions\nof the problem, this calculation is generalised to a boundary condition with\nparticle input at arbitrary angles. It is also shown how to use the\northogonality relations to relax in a simple way the restriction to a thick\nslab.",
"arxiv_id": "physics/9803033",
"authors": [
"U. D. J. Gieseler",
"J. G. Kirk"
],
"categories": [
"math-ph",
"math.MP"
],
"doi": "10.1063/1.531985",
"journal_ref": "J. Math. Phys. 38, 2751 (1997)",
"title": "Comment on: Diffusion through a slab",
"url": "https://arxiv.org/abs/physics/9803033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2f1cddc1-de56-46c3-ac6a-e58ccf44861b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}