dorsal/arxiv
View SchemaPolarization mode interaction equations in optical fibers with Kerr effect
| Authors | S. B. Leble, B. Reichel |
|---|---|
| Categories | |
| ArXiv ID | physics/0411255 |
| URL | https://arxiv.org/abs/physics/0411255 |
Abstract
We derive coupled nonlinear Schr\"{o}dinger equation (CNLSE) for arbitrary polarized light propagation in a single-mode fiber. We introduce a basis of transverse eigen modes with the appropriate projecting hence solutions depend on the waveguide geometry. Considering a weak nonlinearity which is connected with Kerr effect, we give explicit expressions for nonlinear constants via integrals of Bessel functions. We compare numerical results for the nonlinear constant extracted from experimental observations of a soliton for the nonlinear Schr\"{o}dinger equation (NLSE) (single-mode one). The method of projecting we use allows a direct generalization to multi-mode fiber case.
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"date_created": "2026-03-02T18:00:52.894000Z",
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"abstract": "We derive coupled nonlinear Schr\\\"{o}dinger equation (CNLSE) for arbitrary\npolarized light propagation in a single-mode fiber. We introduce a basis of\ntransverse eigen modes with the appropriate projecting hence solutions depend\non the waveguide geometry. Considering a weak nonlinearity which is connected\nwith Kerr effect, we give explicit expressions for nonlinear constants via\nintegrals of Bessel functions. We compare numerical results for the nonlinear\nconstant extracted from experimental observations of a soliton for the\nnonlinear Schr\\\"{o}dinger equation (NLSE) (single-mode one). The method of\nprojecting we use allows a direct generalization to multi-mode fiber case.",
"arxiv_id": "physics/0411255",
"authors": [
"S. B. Leble",
"B. Reichel"
],
"categories": [
"physics.optics"
],
"title": "Polarization mode interaction equations in optical fibers with Kerr effect",
"url": "https://arxiv.org/abs/physics/0411255"
},
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"variant": "snapshot-2026-03-01",
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