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  • Editor: Alan E. Willner
  • Vol. 35, Iss. 23 — Dec. 1, 2010
  • pp: 3967–3969

Hydrodynamic instability of multiple four-wave mixing

Stefano Trillo and Alessandro Valiani  »View Author Affiliations


Optics Letters, Vol. 35, Issue 23, pp. 3967-3969 (2010)
http://dx.doi.org/10.1364/OL.35.003967


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Abstract

In the regime of normal dispersion and low-frequency detunings (or high powers), four-wave mixing is shown to undergo a hydrodynamic type of instability. Such instability involves the formation of shocks (steep fronts) from smooth initial data that are regularized through the appearance of trains of fast oscillations, which exhibit solitonlike behavior, colliding elastically.

© 2010 Optical Society of America

OCIS Codes
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing

ToC Category:
Nonlinear Optics

History
Original Manuscript: September 3, 2010
Revised Manuscript: October 24, 2010
Manuscript Accepted: October 25, 2010
Published: November 23, 2010

Citation
Stefano Trillo and Alessandro Valiani, "Hydrodynamic instability of multiple four-wave mixing," Opt. Lett. 35, 3967-3969 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-23-3967


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