Hexagons and squares in a passive nonlinear optical system

J. B. Geddes; R. A. Indik; J. V. Moloney; W. J. Firth

doi:10.1103/PhysRevA.50.3471

Hexagons and squares in a passive nonlinear optical system

J. B. Geddes
, R. A. Indik
, J. V. Moloney
, W. J. Firth

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

55 Scopus citations

Abstract

Pattern formation is analyzed and simulated in a nonlinear optical system involving all three space dimensions as well as time in an essential way. This system, counterpropagation in a Kerr medium, is shown to lose stability, for sufficient pump intensity, to a nonuniform spatial pattern. We observe hexagonal patterns in a self-focusing medium, and squares in a self-defocusing one, in good agreement with analysis based on symmetry and asymptotic expansions.

Original language	English (US)
Pages (from-to)	3471-3485
Number of pages	15
Journal	Physical Review A
Volume	50
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.50.3471
State	Published - 1994

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.50.3471

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title = "Hexagons and squares in a passive nonlinear optical system",

abstract = "Pattern formation is analyzed and simulated in a nonlinear optical system involving all three space dimensions as well as time in an essential way. This system, counterpropagation in a Kerr medium, is shown to lose stability, for sufficient pump intensity, to a nonuniform spatial pattern. We observe hexagonal patterns in a self-focusing medium, and squares in a self-defocusing one, in good agreement with analysis based on symmetry and asymptotic expansions.",

author = "Geddes, \{J. B.\} and Indik, \{R. A.\} and Moloney, \{J. V.\} and Firth, \{W. J.\}",

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AU - Indik, R. A.

AU - Moloney, J. V.

AU - Firth, W. J.

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AB - Pattern formation is analyzed and simulated in a nonlinear optical system involving all three space dimensions as well as time in an essential way. This system, counterpropagation in a Kerr medium, is shown to lose stability, for sufficient pump intensity, to a nonuniform spatial pattern. We observe hexagonal patterns in a self-focusing medium, and squares in a self-defocusing one, in good agreement with analysis based on symmetry and asymptotic expansions.

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Hexagons and squares in a passive nonlinear optical system

Abstract

ASJC Scopus subject areas

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