Journal of Atomic, Molecular, and Optical Physics
Volume 2012 (2012), Article ID 137967, 21 pages
Research Article

Helmholtz Bright Spatial Solitons and Surface Waves at Power-Law Optical Interfaces

1Joule Physics Laboratory, School of Computing, Science and Engineering, Materials & Physics Research Centre, University of Salford, Greater Manchester M5 4WT, UK
2Departamento de Teoría de la Señal y Comunicaciones e Ingeniería Telemática, Universidad de Valladolid, ETSI Telecomunicación, Campus Miguel Delibes Paseo Belén 15, E-47011 Valladolid, Spain

Received 24 April 2012; Accepted 31 May 2012

Academic Editor: Alan Migdall

Copyright © 2012 J. M. Christian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider arbitrary angle interactions between spatial solitons and the planar boundary between two optical materials with a single power-law nonlinear refractive index. Extensive analysis has uncovered a wide range of new qualitative phenomena in non-Kerr regimes. A universal Helmholtz-Snell law describing soliton refraction is derived using exact solutions to the governing equation as a nonlinear basis. New predictions are tested through exhaustive computations, which have uncovered substantially enhanced Goos-Hänchen shifts at some non-Kerr interfaces. Helmholtz nonlinear surface waves are analyzed theoretically, and their stability properties are investigated numerically for the first time. Interactions between surface waves and obliquely incident solitons are also considered. Novel solution behaviours have been uncovered, which depend upon a complex interplay between incidence angle, medium mismatch parameters, and the power-law nonlinearity exponent.