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  • Vol. 28, Iss. 10 — May. 15, 2003
  • pp: 825–827

Helmholtz dark solitons

P. Chamorro-Posada and G. S. McDonald  »View Author Affiliations


Optics Letters, Vol. 28, Issue 10, pp. 825-827 (2003)
http://dx.doi.org/10.1364/OL.28.000825


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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.

© 2003 Optical Society of America

OCIS Codes
(000.2690) General : General physics
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

Citation
P. Chamorro-Posada and G. S. McDonald, "Helmholtz dark solitons," Opt. Lett. 28, 825-827 (2003)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-28-10-825


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