Modulational instability in nonlocal nonlinear Kerr media

Wieslaw Krolikowski; Ole Bang; Jens Juul Rasmussen; J. Wyller

doi:10.1103/PhysRevE.64.016612

Modulational instability in nonlocal nonlinear Kerr media

Wieslaw Krolikowski, Ole Bang, Jens Juul Rasmussen, J. Wyller

Research output: Contribution to journal › Article › peer-review

356 Citations (SciVal)

Abstract

The modulational stability properties of plane waves in nonlinear media with a general nonlocal Kerr nonlinearity were studied. An analytical expression was derived for the growth rate of the instability for arbitrary response profiles. It was found that in the self-focusing case, the plane wave solution is always unstable.

Original language	English
Article number	016612
Pages (from-to)	1-8
Number of pages	8
Journal	Physical Review E
Volume	64
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.64.016612
Publication status	Published - Jul 2001

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title = "Modulational instability in nonlocal nonlinear Kerr media",

abstract = "The modulational stability properties of plane waves in nonlinear media with a general nonlocal Kerr nonlinearity were studied. An analytical expression was derived for the growth rate of the instability for arbitrary response profiles. It was found that in the self-focusing case, the plane wave solution is always unstable.",

author = "Wieslaw Krolikowski and Ole Bang and Rasmussen, {Jens Juul} and J. Wyller",

year = "2001",

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AU - Wyller, J.

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N2 - The modulational stability properties of plane waves in nonlinear media with a general nonlocal Kerr nonlinearity were studied. An analytical expression was derived for the growth rate of the instability for arbitrary response profiles. It was found that in the self-focusing case, the plane wave solution is always unstable.

AB - The modulational stability properties of plane waves in nonlinear media with a general nonlocal Kerr nonlinearity were studied. An analytical expression was derived for the growth rate of the instability for arbitrary response profiles. It was found that in the self-focusing case, the plane wave solution is always unstable.

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DO - 10.1103/PhysRevE.64.016612

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JF - Physical Review E

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Modulational instability in nonlocal nonlinear Kerr media

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