Black and gray Helmholtz Kerr soliton refraction

Sanchez-Curto, J; Chamorro-Posada, P; McDonald, GS

Abstract

efraction of black and gray solitons at boundaries separating different defocusing Kerr media is analyzed within a Helmholtz framework. A universal nonlinear Snell’s law is derived that describes gray soliton refraction, in addition to capturing the behavior of bright and black Kerr solitons at interfaces. Key regimes, defined by beam and interface characteristics, are identified and predictions are verified by full numerical simulations. The existence of a unique total non-refraction angle for gray solitons is reported; both internal and external refraction at a single interface is shown possible (dependent only on incidence angle). This, in turn, leads to the proposal of positive or negative lensing operations on soliton arrays at planar boundaries.

Citation

Sanchez-Curto, J., Chamorro-Posada, P., & McDonald, G. (2011). Black and gray Helmholtz Kerr soliton refraction. Physical Review A, 83(1), 013828. https://doi.org/10.1103/PhysRevA.83.013828

• Journal Article Type: Article
• Publication Date: Jan 31, 2011
• Deposit Date: Oct 12, 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: 83
• Issue: 1
• Pages: 013828
• DOI: https://doi.org/10.1103/PhysRevA.83.013828
• Publisher URL: http://dx.doi.org/ 10.1103/PhysRevA.83.013828