Hexagons and squares in a passive nonlinear optical system

J. B. Geddes, Robert A Indik, Jerome V Moloney, W. J. Firth

Research output: Contribution to journalArticle

53 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)3471-3485
Number of pages15
JournalPhysical Review A
Volume50
Issue number4
DOIs
StatePublished - 1994

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hexagons
defocusing
self focusing
pumps
expansion
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Hexagons and squares in a passive nonlinear optical system. / Geddes, J. B.; Indik, Robert A; Moloney, Jerome V; Firth, W. J.

In: Physical Review A, Vol. 50, No. 4, 1994, p. 3471-3485.

Research output: Contribution to journalArticle

Geddes, J. B. ; Indik, Robert A ; Moloney, Jerome V ; Firth, W. J. / Hexagons and squares in a passive nonlinear optical system. In: Physical Review A. 1994 ; Vol. 50, No. 4. pp. 3471-3485.
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