dorsal/arxiv
View SchemaStable one-dimensional periodic waves in Kerr-type saturable and quadratic nonlinear media
| Authors | Yaroslav V. Kartashov, Alexey A. Egorov, Victor A. Vysloukh, Lluis Torner |
|---|---|
| Categories | |
| ArXiv ID | physics/0501075 |
| URL | https://arxiv.org/abs/physics/0501075 |
| DOI | 10.1088/1464-4266/6/5/016 |
| Journal | J. Opt. B: Quantum Semiclass Opt., 6, S279 (2004) |
Abstract
We review the latest progress and properties of the families of bright and dark one-dimensional periodic waves propagating in saturable Kerr-type and quadratic nonlinear media. We show how saturation of the nonlinear response results in appearance of stability (instability) bands in focusing (defocusing) medium, which is in sharp contrast with the properties of periodic waves in Kerr media. One of the key results discovered is the stabilization of multicolor periodic waves in quadratic media. In particular, dark-type waves are shown to be metastable, while bright-type waves are completely stable in a broad range of energy flows and material parameters. This yields the first known example of completely stable periodic wave patterns propagating in conservative uniform media supporting bright solitons. Such results open the way to the experimental observation of the corresponding self-sustained periodic wave patterns.
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"abstract": "We review the latest progress and properties of the families of bright and\ndark one-dimensional periodic waves propagating in saturable Kerr-type and\nquadratic nonlinear media. We show how saturation of the nonlinear response\nresults in appearance of stability (instability) bands in focusing (defocusing)\nmedium, which is in sharp contrast with the properties of periodic waves in\nKerr media. One of the key results discovered is the stabilization of\nmulticolor periodic waves in quadratic media. In particular, dark-type waves\nare shown to be metastable, while bright-type waves are completely stable in a\nbroad range of energy flows and material parameters. This yields the first\nknown example of completely stable periodic wave patterns propagating in\nconservative uniform media supporting bright solitons. Such results open the\nway to the experimental observation of the corresponding self-sustained\nperiodic wave patterns.",
"arxiv_id": "physics/0501075",
"authors": [
"Yaroslav V. Kartashov",
"Alexey A. Egorov",
"Victor A. Vysloukh",
"Lluis Torner"
],
"categories": [
"physics.optics"
],
"doi": "10.1088/1464-4266/6/5/016",
"journal_ref": "J. Opt. B: Quantum Semiclass Opt., 6, S279 (2004)",
"title": "Stable one-dimensional periodic waves in Kerr-type saturable and quadratic nonlinear media",
"url": "https://arxiv.org/abs/physics/0501075"
},
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