Helmholtz solitons in power-law optical materials

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

Abstract

A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures broad beam evolution at any angle with respect to the reference direction in a wide range of media, including some semiconductors, doped glasses and liquid crystals. Novel exact analytical soliton solutions are presented for a generic nonlinearity, within which known Kerr solitons comprise a subset. Three conservation laws are also reported and numerical simulations examine the stability of the Helmholtz power-law solitons. These simulations have led to the identification of a new propagation feature associated with spatial solitons in power-law media, constituting a new class of oscillatory solution.

Citation

Christian, J., McDonald, G., Potton, R., & Chamorro-Posada, P. (2007). Helmholtz solitons in power-law optical materials. Physical Review A, 76(3), 033834. https://doi.org/10.1103/PhysRevA.76.033834

• Journal Article Type: Article
• Publication Date: Sep 28, 2007
• Deposit Date: Oct 14, 2011
• Publicly Available Date: Apr 5, 2016
• Journal: Physical Review A (PRA)
• Print ISSN: 1050-2947
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 76
• Issue: 3
• Pages: 033834
• DOI: https://doi.org/10.1103/PhysRevA.76.033834
• Publisher URL: http://dx.doi.org/ 10.1103/PhysRevA.76.033834