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Convection induced nonlinear-symmetry-breaking in wave mixing

AuthorsZambrini, Roberta ; San Miguel, Maxi ; Durniak, Céline; Taki, Majid
Keywords[PACS] Optical solitons; nonlinear guided waves
[PACS] Patterns
[PACS] Dynamics of nonlinear optical systems including optical instabilities, optical chaos and complexity, and optical spatio–temporal dynamics
[PACS] Pattern selection; pattern formation (fluid dynamics)
Multiwave mixing
Light diffraction
Optical parametric oscillators
Ginzburg-Landau theory
Issue Date28-Jun-2005
PublisherAmerican Physical Society
CitationPhysical Review E 72, 025603 (R)(1-4) (2005)
AbstractWe show that the combined action of diffraction and convection (walk-off) in wave mixing processes leads to a nonlinear-symmetry-breaking in the generated travelling waves. The dynamics near to threshold is reduced to a Ginzburg-Landau model, showing an original dependence of the nonlinear self-coupling term on the convection. Analytical expressions of the intensity and the velocity of travelling waves emphasize the utmost importance of convection in this phenomenon. These predictions are in excellent agreement with the numerical solutions of the full dynamical model.
Description4 pages.-- PACS nrs.: 42.65.Tg, 89.75.Kd, 42.65.Sf, 47.54.+r.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0503063v1.-- ©2005 The American Physical Society.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.72.025603
Appears in Collections:(IFISC) Artículos
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