Bistable Helmholtz bright solitons in saturable materials

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

Abstract

We present, to the best of our knowledge, the first exact analytical solitons of a nonlinear Helmholtz equation with a saturable refractive-index model. These new two-dimensional spatial solitons have a bistable characteristic in some parameter regimes, and they capture oblique (arbitrary-angle) beam propagation in both the forward and backward directions. New conservation laws are reported, and the classic paraxial solution is recovered in an appropriate multiple limit. Analysis and simulations examine the stability of both solution branches, and stationary Helmholtz solitons are found to emerge from a range of perturbed input beams.

Citation

Christian, J., McDonald, G., & Chamorro-Posada, P. (2009). Bistable Helmholtz bright solitons in saturable materials. Journal of the Optical Society of America B, 26(12), 2323-2330. https://doi.org/10.1364/JOSAB.26.002323

• Journal Article Type: Article
• Publication Date: Nov 16, 2009
• Deposit Date: Oct 13, 2011
• Publicly Available Date: Apr 5, 2016
• Journal: Journal of the Optical Society of America B
• Print ISSN: 0740-3224
• Publisher: Optical Society of America
• Peer Reviewed: Peer Reviewed
• Volume: 26
• Issue: 12
• Pages: 2323-2330
• DOI: https://doi.org/10.1364/JOSAB.26.002323
• Publisher URL: http://dx.doi.org/10.1364/JOSAB.26.002323