Journal ArticleDOI
Subwavelength spatial solitons
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TLDR
The most essential result is a fundamental limitation on the width of the subwavelength soliton: the ratio of the FWHM of the bright soliton to the wavelength cannot be smaller than 1/2, and the same ratio for the dark soliton cannot be bigger than1/4.Abstract:
We analyze the effects of additional terms in the nonlinear Schrodinger equation for spatial solitons, directly derived from the Maxwell’s equations with the Kerr nonlinearity, on the shapes of bright and dark solitons with a fixed polarization. Combining analytical and numerical methods, we find that the additional terms always render the solitons broader. The most essential result is a fundamental limitation on the width of the subwavelength soliton: The ratio of the FWHM of the bright soliton to the wavelength cannot be smaller than 1/2, and the same ratio for the FWHM of the dark soliton cannot be smaller than 1/4.read more
Citations
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Plasmon-Soliton
Eyal Feigenbaum,Meir Orenstein +1 more
TL;DR: In this article, a hybrid-vector spatial plasmon-soliton in a Kerr slab embedded in between metal plates is predicted and analyzed with a modified NLSE, encompassing hybrid vector field characteristics.
Journal ArticleDOI
Nonparaxial one-dimensional spatial solitons.
TL;DR: Exact and approximate solutions to higher-order evolution equations developed for propagation in two-dimensions are obtained and are shown to exhibit quasi-soliton behavior based on propagation and collision studies.
Journal ArticleDOI
Perfect optical solitons : spatial Kerr solitons as exact solutions of Maxwell's equations
TL;DR: In this article, it was shown that spatial Kerr solitons, usually obtained in the frame of a nonlinear Schrodinger equation valid in the paraxial approximation, can be found in a generalized form as exact solutions of Maxwell's equations.
Journal ArticleDOI
Spatial Kerr soliton collisions at arbitrary angles.
TL;DR: The theory of spatial Kerr solitons is extended to colliding beams that are neither almost-exactly copropagating nor almost-Exactly counterpropagating, and the new Helmholtz formalism yields results that are consistent with the inherent symmetry of the collision process and that are not predicted by existing paraxial descriptions.
Journal ArticleDOI
Helmholtz solitons in power-law optical materials
TL;DR: In this article, a nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed, which captures the evolution of broad beams at any angle with respect to the reference direction in a wide range of media.
References
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Journal ArticleDOI
Numerical solutions of Maxwell’s equations for nonlinear-optical pulse propagation
Cheryl V. Hile,William L. Kath +1 more
Abstract: A model and numerical solutions of Maxwell’s equations describing the propagation of short, solitonlike pulses in nonlinear dispersive optical media are presented. The model includes linear dispersion expressed in the time domain, a Kerr nonlinearity, and a coordinate system moving with the group velocity of the pulse. Numerical solutions of Maxwell’s equations are presented for circularly polarized and linearly polarized electromagnetic fields. When the electromagnetic fields are assumed to be circularly polarized, numerical solutions are compared directly with solutions of the nonlinear Schrodinger (NLS) equation. These comparisons show good agreement and indicate that the NLS equation provides an excellent model for short-pulse propagation. When the electromagnetic fields are assumed to be linearly polarized, the propagation of daughter pulses, small-amplitude pulses at three times the frequency of the solitonlike pulse, are observed in the numerical solution. These daughter pulses are shown to be the direct result of third harmonics generated by the main, solitonlike, pulse.
Journal ArticleDOI
Spatial solitons of Maxwell's equations.
TL;DR: Spatial solitons of Maxwell's equations propagating in an isotropic Kerr material differ significantly from the classical soliton of the nonlinear Schrödinger equation unless the electric field is linearly polarized along a geometric axis of the soliton intensity pattern.