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 journalArticlepeer-review

54 Scopus citations


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 languageEnglish (US)
Pages (from-to)3471-3485
Number of pages15
JournalPhysical Review A
Issue number4
StatePublished - 1994

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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