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Selected Works of John B. Geddes
Article
Hexagons and Squares in a Passive Nonlinear Optical System
Physical Review A (1994)
  • John B. Geddes
  • R.A. Indik, University of Arizona
  • J.V. Moloney, University of Arizona
  • Willie J. Firth
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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.
Disciplines
Publication Date
January 1, 1994
Publisher Statement

© 1994 American Physical Society. The article appeared in Physical Review A, vol. 50, iss. 4, pp. 3471-3485 and may be found here.

Citation Information
John B. Geddes, R.A. Indik, J.V. Moloney and Willie J. Firth. "Hexagons and Squares in a Passive Nonlinear Optical System" Physical Review A Vol. 50 Iss. 4 (1994)
Available at: http://works.bepress.com/john_geddes/5/