Modulational instabilities in diffusive Kerr-type resonators

A modulational stability analysis of Kerr-type nonlinear resonators is performed, revealing that the stability properties of these devices are fundamentally altered by the Debye time and the diffusion length of the nonlinearity. The main new feature, as compared to the case of a local and instantane...

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Bibliographic Details
Published inOptics communications Vol. 104; no. 1; pp. 196 - 206
Main Authors Danckaert, J., Vitrant, G.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.12.1993
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Summary:A modulational stability analysis of Kerr-type nonlinear resonators is performed, revealing that the stability properties of these devices are fundamentally altered by the Debye time and the diffusion length of the nonlinearity. The main new feature, as compared to the case of a local and instantaneous nonlinearity, is the presence of Hopf-bifurcations located on the upper branch of the bistable loop and resulting in time-dependent transverse patterns. Numerical simulations show the existence of self-pulsing and turbulent patterns, both for self-focusing and self-defocusing media.
ISSN:0030-4018
1873-0310
DOI:10.1016/0030-4018(93)90128-R