dorsal/arxiv
View SchemaPerfect Optical Solitons: Spatial Kerr Solitons as Exact Solutions of Maxwell's Equations
| Authors | Alessandro Ciattoni, Bruno Crosignani, Paolo Di Porto, Amnon Yariv |
|---|---|
| Categories | |
| ArXiv ID | physics/0410257 |
| URL | https://arxiv.org/abs/physics/0410257 |
| DOI | 10.1364/JOSAB.22.001384 |
Abstract
We prove that spatial Kerr solitons, usually obtained in the frame of nonlinear Schroedinger equation valid in the paraxial approximation, can be found in a generalized form as exact solutions of Maxwell's equations. In particular, they are shown to exist, both in the bright and dark version, as linearly polarized exactly integrable one-dimensional solitons, and to reduce to the standard paraxial form in the limit of small intensities. In the two-dimensional case, they are shown to exist as azimuthally polarized circularly symmetric dark solitons. Both one and two-dimensional dark solitons exhibit a characteristic signature in that their asymptotic intensity cannot exceed a threshold value in correspondence of which their width reaches a minimum subwavelength value.
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"abstract": "We prove that spatial Kerr solitons, usually obtained in the frame of\nnonlinear Schroedinger equation valid in the paraxial approximation, can be\nfound in a generalized form as exact solutions of Maxwell\u0027s equations. In\nparticular, they are shown to exist, both in the bright and dark version, as\nlinearly polarized exactly integrable one-dimensional solitons, and to reduce\nto the standard paraxial form in the limit of small intensities. In the\ntwo-dimensional case, they are shown to exist as azimuthally polarized\ncircularly symmetric dark solitons. Both one and two-dimensional dark solitons\nexhibit a characteristic signature in that their asymptotic intensity cannot\nexceed a threshold value in correspondence of which their width reaches a\nminimum subwavelength value.",
"arxiv_id": "physics/0410257",
"authors": [
"Alessandro Ciattoni",
"Bruno Crosignani",
"Paolo Di Porto",
"Amnon Yariv"
],
"categories": [
"physics.optics"
],
"doi": "10.1364/JOSAB.22.001384",
"title": "Perfect Optical Solitons: Spatial Kerr Solitons as Exact Solutions of Maxwell\u0027s Equations",
"url": "https://arxiv.org/abs/physics/0410257"
},
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