Abstract

Transverse beam propagation is considered in a layered structure in which Kerr nonlinearity alternates between self-focusing and self-defocusing, which makes it possible to prevent collapse. A structure composed of alternating self-focusing layers with strongly different values of the Kerr coefficient is considered too. By means of both a variational approximation (which is implemented in a completely analytical form, including the stability analysis) and direct simulations, it is demonstrated that stable quasi-stationary $(2+1)$-dimensional soliton beams exist in these media (direct simulations demonstrate stable propagation over a distance exceeding 100 diffraction lengths of the beam). Quasi-stationary cylindrical solitons with intrinsic vorticity exist too, but they all are unstable, splitting into separating zero-vorticity beams.

© 2002 Optical Society of America

Numerical modeling of (D+1)-dimensional solitons in a sign-alternating nonlinear medium with an adaptive fast Hankel split-step method

Georges Nehmetallah and Partha P. Banerjee
J. Opt. Soc. Am. B 22(10) 2200-2207 (2005)

Stabilization of a (D+1)-dimensional dispersion-managed solitons in Kerr media by an alternating dispersion structure

Georges Nehmetallah and P. P. Banerjee
J. Opt. Soc. Am. B 23(2) 203-211 (2006)

Nonlinear guided waves and spatial solitons in a periodic layered medium

Andrey A. Sukhorukov and Yuri S. Kivshar
J. Opt. Soc. Am. B 19(4) 772-781 (2002)

Solitons in one-dimensional photonic crystals

Thawatchai Mayteevarunyoo and Boris A. Malomed
J. Opt. Soc. Am. B 25(11) 1854-1863 (2008)

Spatial solitons supported by localized gain [Invited]

Boris A. Malomed
J. Opt. Soc. Am. B 31(10) 2460-2475 (2014)