Helmholtz solitons in optical materials with a dual power-law refractive index

Christian, JM; McDonald, GS; Chamorro-Posada, P

Abstract

A nonlinear Helmholtz equation is proposed for modelling scalar optical beams in uniform planar waveguides whose refractive index exhibits a purely-focusing dual powerlaw
dependence on the electric field amplitude. Two families of exact analytical solitons, describing forward- and backward-propagating beams, are derived. These solutions are
physically and mathematically distinct from those recently discovered for related nonlinearities. The geometry of the new solitons is examined, conservation laws are reported,
and classic paraxial predictions are recovered in a simultaneous multiple limit. Conventional semi-analytical techniques assist in studying the stability of these nonparaxial solitons, whose propagation properties are investigated through extensive simulations.

Citation

Christian, J., McDonald, G., & Chamorro-Posada, P. (2010). Helmholtz solitons in optical materials with a dual power-law refractive index. Journal of Nonlinear Optical Physics and Materials, 19(3), 389-405. https://doi.org/10.1142/S0218863510005340

• Journal Article Type: Article
• Publication Date: Sep 1, 2010
• Deposit Date: Oct 13, 2011
• Publicly Available Date: Apr 5, 2016
• Journal: Journal of Nonlinear Optical Physics & Materials
• Print ISSN: 0218-8635
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 3
• Pages: 389-405
• DOI: https://doi.org/10.1142/S0218863510005340
• Publisher URL: http://dx.doi.org/10.1142/S0218863510005340