dorsal/arxiv
View SchemaEmbedded Solitons in a Three-Wave System
| Authors | Alan R. Champneys, Boris A. Malomed |
|---|---|
| Categories | |
| ArXiv ID | physics/9911045 |
| URL | https://arxiv.org/abs/physics/9911045 |
| DOI | 10.1103/PhysRevE.61.886 |
Abstract
We report a rich spectrum of isolated solitons residing inside ({\it embedded } into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of walking solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find straightforward applications for all-optical switching.
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"abstract": "We report a rich spectrum of isolated solitons residing inside ({\\it embedded\n} into) the continuous radiation spectrum in a simple model of three-wave\nspatial interaction in a second-harmonic-generating planar optical waveguide\nequipped with a quasi-one-dimensional Bragg grating. An infinite sequence of\nfundamental embedded solitons are found, which differ by the number of internal\noscillations. Branches of these zero-walkoff spatial solitons give rise,\nthrough bifurcations, to several secondary branches of walking solitons. The\nstructure of the bifurcating branches suggests a multistable configuration of\nspatial optical solitons, which may find straightforward applications for\nall-optical switching.",
"arxiv_id": "physics/9911045",
"authors": [
"Alan R. Champneys",
"Boris A. Malomed"
],
"categories": [
"physics.optics",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.61.886",
"title": "Embedded Solitons in a Three-Wave System",
"url": "https://arxiv.org/abs/physics/9911045"
},
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