dorsal/arxiv
View SchemaA Gaussian-optical Approach to Stable Periodic Orbit Resonances of Partially Chaotic Dielectric Micro-cavities
| Authors | H. E. Tureci, H. G. L. Schwefel, E. E. Narimanov, A. Douglas Stone |
|---|---|
| Categories | |
| ArXiv ID | physics/0207003 |
| URL | https://arxiv.org/abs/physics/0207003 |
| DOI | 10.1364/OE.10.000752 |
| Journal | Opt. Express 10, 752-776 (2002) |
Abstract
The quasi-bound modes localized on stable periodic ray orbits of dielectric micro-cavities are constructed in the short-wavelength limit using the parabolic equation method. These modes are shown to coexist with irregularly spaced "chaotic" modes for the generic case. The wavevector quantization rule for the quasi-bound modes is derived and given a simple physical interpretation in terms of Fresnel reflection; quasi-bound modes are explictly constructed and compared to numerical results. The effect of discrete symmetries of the resonator is analyzed and shown to give rise to quasi-degenerate multiplets; the average splitting of these multiplets is calculated by methods from quantum chaos theory.
{
"annotation_id": "3d480aab-5233-444b-8f96-d1c10e958f49",
"date_created": "2026-03-02T18:00:39.475000Z",
"date_modified": "2026-03-02T18:00:39.475000Z",
"file_hash": "0655a4055907ba0060ada128a65eaeaa96dbe4c9a080e7c67ed4be226a0b2a39",
"private": false,
"record": {
"abstract": "The quasi-bound modes localized on stable periodic ray orbits of dielectric\nmicro-cavities are constructed in the short-wavelength limit using the\nparabolic equation method. These modes are shown to coexist with irregularly\nspaced \"chaotic\" modes for the generic case. The wavevector quantization rule\nfor the quasi-bound modes is derived and given a simple physical interpretation\nin terms of Fresnel reflection; quasi-bound modes are explictly constructed and\ncompared to numerical results. The effect of discrete symmetries of the\nresonator is analyzed and shown to give rise to quasi-degenerate multiplets;\nthe average splitting of these multiplets is calculated by methods from quantum\nchaos theory.",
"arxiv_id": "physics/0207003",
"authors": [
"H. E. Tureci",
"H. G. L. Schwefel",
"E. E. Narimanov",
"A. Douglas Stone"
],
"categories": [
"physics.optics",
"nlin.CD"
],
"doi": "10.1364/OE.10.000752",
"journal_ref": "Opt. Express 10, 752-776 (2002)",
"title": "A Gaussian-optical Approach to Stable Periodic Orbit Resonances of Partially Chaotic Dielectric Micro-cavities",
"url": "https://arxiv.org/abs/physics/0207003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e34e35dc-18de-42d2-b25c-bef6effcd7a8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}