Helmholtz dark solitons

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 a...

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Bibliographic Details
Published in:Optics letters 2003-05, Vol.28 (10), p.825-827
Main Authors: Chamorro-Posada, P, McDonald, G S
Format: Article
Language:English
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Summary: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.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.28.000825