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Secondary bifurcations of hexagonal patterns in a nonlinear optical system: Alkali metal vapor in a single-mirror arrangement

Damià Gomila1, Thorsten Ackemann2, Edgar Grosse Westhoff2, Pere Colet1, and Wulfhard Lange2,*

  • 1Institut Mediterrani d’Estudis Avançats, IMEDEA (CSIC-UIB), Campus Universitat Illes Balears, E-07071 Palma de Mallorca, Spain
  • 22Institut für Angewandte Physik, Westfälische Wilhelms-Universität Münster, Corrensstrasse 2/4, D-48149 Münster, Germany

  • *http://www.imedea.uib.es/PhysDept.
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Phys. Rev. E 69, 036205 – Published 24 March, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.036205

Abstract

Secondary bifurcations of hexagonal patterns are analyzed in a model of a single-mirror arrangement with an alkali metal vapor as the nonlinear medium. A stability analysis of the hexagonal structures is performed numerically. Different instabilities are predicted in dependency on the wave number of the hexagons. Some of the instabilities take place at a finite wave number and result in the formation of structures with 12 spatial modes. These structures are compared with those observed experimentally.

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Phys. Rev. E 69, 036205– Published 24 March, 2004
  • Received 26 February 2003

© 2004 American Physical Society

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