dorsal/arxiv
View SchemaTheory of directional pulse propagation: detailed calculations
| Authors | P. Kinsler |
|---|---|
| Categories | |
| ArXiv ID | physics/0611216 |
| URL | https://arxiv.org/abs/physics/0611216 |
Abstract
I construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions respectively, and use these to re-formulate Maxwell's equations. The emphasis is on detailed calculations, with a more general overview being published in Phys. Rev. A72 and arXiv. These directional variables enable us to not only judge the effect and significance of backward-travelling field components, but also to discard them when appropriate. They thereby have the potential to simplify numerical simulations, leading to potential speed gains of up to 100% over standard FDTD or PSSD simulations. These field variables are also used to derive both envelope equations useful for narrow-band pulse propagation, and a second order wave equation. Alternative definitions are also presented, along with their associated wave equations.
{
"annotation_id": "718ed5a0-82cd-499a-91e7-9856fe040af9",
"date_created": "2026-03-02T18:01:14.216000Z",
"date_modified": "2026-03-02T18:01:14.216000Z",
"file_hash": "ebdc5f14e11b6ae301495181a3b834315306c309dfe830982a19d02021e44114",
"private": false,
"record": {
"abstract": "I construct combined electric and magnetic field variables which\nindependently represent energy flows in the forward and backward directions\nrespectively, and use these to re-formulate Maxwell\u0027s equations. The emphasis\nis on detailed calculations, with a more general overview being published in\nPhys. Rev. A72 and arXiv. These directional variables enable us to not only\njudge the effect and significance of backward-travelling field components, but\nalso to discard them when appropriate. They thereby have the potential to\nsimplify numerical simulations, leading to potential speed gains of up to 100%\nover standard FDTD or PSSD simulations. These field variables are also used to\nderive both envelope equations useful for narrow-band pulse propagation, and a\nsecond order wave equation. Alternative definitions are also presented, along\nwith their associated wave equations.",
"arxiv_id": "physics/0611216",
"authors": [
"P. Kinsler"
],
"categories": [
"physics.optics"
],
"title": "Theory of directional pulse propagation: detailed calculations",
"url": "https://arxiv.org/abs/physics/0611216"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "02360f97-191f-4573-83f8-6e2c8833dbc6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}