dorsal/arxiv
View SchemaExact Partial Wave Expansion of Optical Beams with Respect to an Arbitrary Origin
| Authors | Antonio Alvaro Ranha Neves, Adriana Fontes, Lazaro Aurelio Padilha, Eugenio Rodriguez, Carlos Henrique Brito Cruz, Luiz Carlos Barbosa, Carlos Lenz Cesar |
|---|---|
| Categories | |
| ArXiv ID | physics/0603092 |
| URL | https://arxiv.org/abs/physics/0603092 |
| DOI | 10.1364/OL.31.002477 |
| Journal | Optics Letters, v. 31, p. 2477-2479, 2006 |
Abstract
Using an analytical expression for an integral involving Bessel and Legendre functions we succeeded to obtain the partial wave decomposition of a general optical beam at an arbitrary location from the origin. We also showed that the solid angle integration will eliminate the radial dependence of the expansion coefficients. The beam shape coefficients obtained are given by an exact expression in terms of single or double integrals. These integrals can be evaluated numerically in a short time scale. We presented the results for the case of linear polarized Gaussian beam.
{
"annotation_id": "9c552943-b5af-405c-923b-61682942d58c",
"date_created": "2026-03-02T18:01:07.465000Z",
"date_modified": "2026-03-02T18:01:07.465000Z",
"file_hash": "3279a1b9d48247ac64d29c2aa0e82b7f70d182e49f61529dfc4f1c8c9738ff63",
"private": false,
"record": {
"abstract": "Using an analytical expression for an integral involving Bessel and Legendre\nfunctions we succeeded to obtain the partial wave decomposition of a general\noptical beam at an arbitrary location from the origin. We also showed that the\nsolid angle integration will eliminate the radial dependence of the expansion\ncoefficients. The beam shape coefficients obtained are given by an exact\nexpression in terms of single or double integrals. These integrals can be\nevaluated numerically in a short time scale. We presented the results for the\ncase of linear polarized Gaussian beam.",
"arxiv_id": "physics/0603092",
"authors": [
"Antonio Alvaro Ranha Neves",
"Adriana Fontes",
"Lazaro Aurelio Padilha",
"Eugenio Rodriguez",
"Carlos Henrique Brito Cruz",
"Luiz Carlos Barbosa",
"Carlos Lenz Cesar"
],
"categories": [
"physics.optics"
],
"doi": "10.1364/OL.31.002477",
"journal_ref": "Optics Letters, v. 31, p. 2477-2479, 2006",
"title": "Exact Partial Wave Expansion of Optical Beams with Respect to an Arbitrary Origin",
"url": "https://arxiv.org/abs/physics/0603092"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "00a2181c-11b6-44fa-9082-a2cb2ffefbb0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}