dorsal/arxiv
View SchemaMaxwell Optics: I. An exact matrix representation of the Maxwell equations in a medium
| Authors | Sameen Ahmed Khan |
|---|---|
| Categories | |
| ArXiv ID | physics/0205083 |
| URL | https://arxiv.org/abs/physics/0205083 |
| DOI | 10.1238/Physica.Regular.071a00440 |
| Journal | Phys.Scripta 71:440-442,2005 |
Abstract
Matrix representations of the Maxwell equations are well-known. However, all these representations lack an exactness or/and are given in terms of a {\em pair} of matrix equations. We present a matrix representation of the Maxwell equation in presence of sources in a medium with varying permittivity and permeability. It is shown that such a representation necessarily requires $8 \times 8$ matrices and an explicit representation for them is presented.
{
"annotation_id": "0079e19a-965c-447c-88a2-7db482e0622c",
"date_created": "2026-03-02T18:00:39.656000Z",
"date_modified": "2026-03-02T18:00:39.656000Z",
"file_hash": "357da1c8eb60b324787834321d127c39026e75b726ddab3e7ecd9634657e435d",
"private": false,
"record": {
"abstract": "Matrix representations of the Maxwell equations are well-known. However, all\nthese representations lack an exactness or/and are given in terms of a {\\em\npair} of matrix equations. We present a matrix representation of the Maxwell\nequation in presence of sources in a medium with varying permittivity and\npermeability. It is shown that such a representation necessarily requires $8\n\\times 8$ matrices and an explicit representation for them is presented.",
"arxiv_id": "physics/0205083",
"authors": [
"Sameen Ahmed Khan"
],
"categories": [
"physics.optics",
"physics.gen-ph",
"quant-ph"
],
"doi": "10.1238/Physica.Regular.071a00440",
"journal_ref": "Phys.Scripta 71:440-442,2005",
"title": "Maxwell Optics: I. An exact matrix representation of the Maxwell equations in a medium",
"url": "https://arxiv.org/abs/physics/0205083"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2e2f94f1-3dbe-443b-b3e3-8195702e9866",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}