dorsal/arxiv
View SchemaForward-backward equations for nonlinear propagation in axially-invariant optical systems
| Authors | Albert Ferrando, Mario Zacares, Pedro Fernandez de Cordoba, Daniele Binosi, Alvaro Montero |
|---|---|
| Categories | |
| ArXiv ID | physics/0407029 |
| URL | https://arxiv.org/abs/physics/0407029 |
| DOI | 10.1103/PhysRevE.71.016601 |
Abstract
We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse inhomogeneities. With a minimum amount of approximations, we obtain a system of two first-order equations for forward and backward components explicitly showing the nonlinear couplings among them. The modal approach used allows for an effective reduction of the dimensionality of the original problem from 3+1 (three spatial dimensions plus one time dimension) to 1+1 (one spatial dimension plus one frequency dimension). The new equations can be written in a spinor Dirac-like form, out of which conserved quantities can be calculated in an elegant manner. Finally, these new equations inherently incorporate spatio-temporal couplings, so that they can be easily particularized to deal with purely temporal or purely spatial effects. Nonlinear forward pulse propagation and non-paraxial evolution of spatial structures are analyzed as examples.
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"abstract": "We present a novel general framework to deal with forward and backward\ncomponents of the electromagnetic field in axially-invariant nonlinear optical\nsystems, which include those having any type of linear or nonlinear transverse\ninhomogeneities. With a minimum amount of approximations, we obtain a system of\ntwo first-order equations for forward and backward components explicitly\nshowing the nonlinear couplings among them. The modal approach used allows for\nan effective reduction of the dimensionality of the original problem from 3+1\n(three spatial dimensions plus one time dimension) to 1+1 (one spatial\ndimension plus one frequency dimension). The new equations can be written in a\nspinor Dirac-like form, out of which conserved quantities can be calculated in\nan elegant manner. Finally, these new equations inherently incorporate\nspatio-temporal couplings, so that they can be easily particularized to deal\nwith purely temporal or purely spatial effects. Nonlinear forward pulse\npropagation and non-paraxial evolution of spatial structures are analyzed as\nexamples.",
"arxiv_id": "physics/0407029",
"authors": [
"Albert Ferrando",
"Mario Zacares",
"Pedro Fernandez de Cordoba",
"Daniele Binosi",
"Alvaro Montero"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevE.71.016601",
"title": "Forward-backward equations for nonlinear propagation in axially-invariant optical systems",
"url": "https://arxiv.org/abs/physics/0407029"
},
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