dorsal/arxiv
View SchemaShaping soliton properties in optical Mathieu lattices
| Authors | Yaroslav V. Kartashov, Alexey A. Egorov, Victor A. Vysloukh, Lluis Torner |
|---|---|
| Categories | |
| ArXiv ID | physics/0510132 |
| URL | https://arxiv.org/abs/physics/0510132 |
| DOI | 10.1364/OL.31.000238 |
| Journal | Optics Letters 31, 238 (2006) |
Abstract
We address basic properties and stability of two-dimensional solitons in photonic lattices induced by the nondiffracting Mathieu beams. Such lattices allow for smooth topological transformation of radially symmetric Bessel lattices into quasi-one-dimensional periodic ones. The transformation of lattice topology drastically affects properties of ground-state and dipole-mode solitons, including their shape, stability and transverse mobility.
{
"annotation_id": "3c28708e-c03d-4beb-b552-448cc6daa4b8",
"date_created": "2026-03-02T18:01:03.480000Z",
"date_modified": "2026-03-02T18:01:03.480000Z",
"file_hash": "7d284d268e0818b50113d3cdcee5888bf952e2059e75e35a05242b02877df43a",
"private": false,
"record": {
"abstract": "We address basic properties and stability of two-dimensional solitons in\nphotonic lattices induced by the nondiffracting Mathieu beams. Such lattices\nallow for smooth topological transformation of radially symmetric Bessel\nlattices into quasi-one-dimensional periodic ones. The transformation of\nlattice topology drastically affects properties of ground-state and dipole-mode\nsolitons, including their shape, stability and transverse mobility.",
"arxiv_id": "physics/0510132",
"authors": [
"Yaroslav V. Kartashov",
"Alexey A. Egorov",
"Victor A. Vysloukh",
"Lluis Torner"
],
"categories": [
"physics.optics",
"nlin.PS"
],
"doi": "10.1364/OL.31.000238",
"journal_ref": "Optics Letters 31, 238 (2006)",
"title": "Shaping soliton properties in optical Mathieu lattices",
"url": "https://arxiv.org/abs/physics/0510132"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d31d061e-1b21-4d7a-b7fb-30cf8b6e6b0a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}