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Título

Dynamics of hexagonal patterns in a self-focusing Kerr cavity

AutorGomila, Damià ; Colet, Pere
Palabras claveOptical Kerr effect
Pattern formation
Bifurcation
Optical bistability
Fecha de publicación25-jul-2007
EditorAmerican Physical Society
CitaciónPhysical Review E 76, 016217 (2007)
ResumenIn this paper we analyze in detail the secondary bifurcations of stationary hexagonal patterns in a prototype model of nonlinear optics. Hexagonal pattern solutions with all allowed wavenumbers are computed and their linear stability is studied by means of a Bloch analysis. Depending on the wavenumber of the selected pattern we predict and numerically observe phase instabilities, amplitude instabilities, both stationary and oscillatory, and oscillatory finite wavelength bifurcations. The results presented here illustrate a typical bifurcation scenario for patterns with different wavenumbers in self-focusing systems.
Descripción10 pages.-- PACS numbers: 89.75.Kd, 42.65.Sf, 47.54.-r, 47.20.Ky.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.76.016217.
URIhttp://hdl.handle.net/10261/6157
DOI10.1103/PhysRevE.76.016217
ISSN1539-3755
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