dorsal/arxiv
View SchemaAzimuthally polarized spatial dark solitons: exact solutions of Maxwell's equations in a Kerr medium
| Authors | Alessandro Ciattoni, Bruno Crosignani, Paolo Di Porto, Amnon Yariv |
|---|---|
| Categories | |
| ArXiv ID | physics/0410036 |
| URL | https://arxiv.org/abs/physics/0410036 |
| DOI | 10.1103/PhysRevLett.94.073902 |
Abstract
Spatial Kerr solitons, typically associated with the standard paraxial nonlinear Schroedinger equation, are shown to exist to all nonparaxial orders, as exact solutions of Maxwell's equations in the presence of vectorial Kerr effect. More precisely, we prove the existence of azimuthally polarized, spatial, dark soliton solutions of Maxwell's equations, while exact linearly polarized (2+1)-D solitons do not exist. Our ab initio approach predicts the existence of dark solitons up to an upper value of the maximum field amplitude, corresponding to a minimum soliton width of about one fourth of the wavelength.
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"abstract": "Spatial Kerr solitons, typically associated with the standard paraxial\nnonlinear Schroedinger equation, are shown to exist to all nonparaxial orders,\nas exact solutions of Maxwell\u0027s equations in the presence of vectorial Kerr\neffect. More precisely, we prove the existence of azimuthally polarized,\nspatial, dark soliton solutions of Maxwell\u0027s equations, while exact linearly\npolarized (2+1)-D solitons do not exist. Our ab initio approach predicts the\nexistence of dark solitons up to an upper value of the maximum field amplitude,\ncorresponding to a minimum soliton width of about one fourth of the wavelength.",
"arxiv_id": "physics/0410036",
"authors": [
"Alessandro Ciattoni",
"Bruno Crosignani",
"Paolo Di Porto",
"Amnon Yariv"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevLett.94.073902",
"title": "Azimuthally polarized spatial dark solitons: exact solutions of Maxwell\u0027s equations in a Kerr medium",
"url": "https://arxiv.org/abs/physics/0410036"
},
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