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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 1936–1941

Curvature dynamics and stability of topological solitons in the optical parametric oscillator

J. Nathan Kutz, Thomas Erneux, Stefano Trillo, and Marc Haelterman  »View Author Affiliations


JOSA B, Vol. 16, Issue 11, pp. 1936-1941 (1999)
http://dx.doi.org/10.1364/JOSAB.16.001936


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Abstract

The first analytic verification of the stability of topological solitons corresponding to wave-front solutions of the optical parametric oscillator is given. A translational invariance allows perturbations to the system to shift the front position without affecting the underlying exponential stability of the fronts themselves. For the two-dimensional problem with a positive O(1) signal detuning, the front curvature is shown to be governed by a heat equation, so that the only stable topological solitons supported must be stripes.

© 1999 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.2640) Nonlinear optics : Stimulated scattering, modulation, etc.
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

Citation
J. Nathan Kutz, Thomas Erneux, Stefano Trillo, and Marc Haelterman, "Curvature dynamics and stability of topological solitons in the optical parametric oscillator," J. Opt. Soc. Am. B 16, 1936-1941 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-11-1936

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