Helmholtz dark solitons

Chamorro-Posada, P; McDonald, GS

Abstract

A general dark-soliton solution of the Helmholtz equation (with defocusing Kerr nonlinearity) that has on- and off-axis, gray and black, paraxial and Helmholtz solitons as particular solutions, is reported. Modifications to soliton transverse velocity, width, phase period, and existence conditions are derived and explained in geometrical terms. Simulations verify analytical predictions and also demonstrate spontaneous formation of Helmholtz solitons and transparency of their interactions.

Citation

Chamorro-Posada, P., & McDonald, G. (2003). Helmholtz dark solitons. Optics Letters, 28(10), 825-827. https://doi.org/10.1364/OL.28.000825

• Journal Article Type: Article
• Publication Date: May 15, 2003
• Deposit Date: Aug 22, 2007
• Journal: Optics Letters
• Print ISSN: 0146-9592
• Publisher: Optical Society of America
• Peer Reviewed: Peer Reviewed
• Volume: 28
• Issue: 10
• Pages: 825-827
• DOI: https://doi.org/10.1364/OL.28.000825
• Keywords: optical solitons, Helmholtz equations, optical Kerr effect, focusing
• Publisher URL: http://dx.doi.org/10.1364/OL.28.000825