Perfect Optical Solitons: Spatial Kerr Solitons as Exact Solutions of Maxwell's Equations

Details Perfect Optical Solitons: Spatial Kerr Solitons as Exact Solutions of Maxwell's Equations Perfect Optical Solitons: Spatial Kerr Solitons as Exact Solutions of Maxwell's Equations

2004-10-27

arxiv.org/abs/physics/0410257v1

Physics

Optics

19 pages, 11 figure. Submitted for publication on Josa B

Scientific paper

10.1364/JOSAB.22.001384

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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