1. Secondary bifurcations of hexagonal patterns in a nonlinear optical system: alkali metal vapor in a single-mirror arrangement
- Author
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Gomila, Damià, Ackemann, Thorsten, Grosse Westhoff, Edgar, Colet, Pere, and Lange, Wulfhard
- Subjects
Diffraction ,education.field_of_study ,Secondary bifurcations ,Zeeman effect ,Materials science ,Nonlinear optics ,business.industry ,Buffer gas ,Population ,Phase (waves) ,symbols.namesake ,Transverse plane ,Optics ,symbols ,business ,education ,Patterns ,Beam (structure) - Abstract
12 pages.-- PACS nrs.: 89.75.Kd, 42.65.Sf, 47.54.+r, 47.20.Ky., 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. Depending on the wavenumber of the hexagons different instabilities are predicted. Some of them take place at a finite wavenumber and result in the formation of structures with twelve spatial modes. These structures are compared with those observed experimentally., The authors acknowledge financial support from the European Science Foundation (PHASE network). D.G. and P.C. acknowledge financial support from MCyT (Spain, projects "Acciones Integradas" Grant Nos. HA98-29, PB97-0141-C02-02, BFM2001-0341-C02-01, and BFM2000-1108). E.G.W., T.A. and W.L. acknowledge financial support by the Deutsche Akademische Austauschdienst (Acciones Integradas) and by the Deutsche Forschungsgemeinschaft., http://dx.doi.org/10.1103/PhysRevE.69.036205
- Published
- 2004