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Issue		Eur. Phys. J. D Volume 12, Number 1, October 2000
Page(s)		15 - 20
DOI		10.1007/s100530070037

Eur. Phys. J. D 12, 15-20

Geometrical frustration in 2D optical patterns

S. Residori¹ - N. Olivi-Tran¹ - E. Pampaloni²

¹Institut Non Linéaire de Nice, Université de Nice Sophia Antipolis, 1361 route des Lucioles, 06560 Valbonne, France
²Istituto Nazionale di Ottica, 50125 Firenze, Italy

residori@inln.cnrs.fr

Received 27 December 1999 and Received in final form 29 March 2000

Abstract
In the case of 2D optical patterns, frustration comes from the interplay between the physical constraints (light-matter interaction) and the geometrical constraints (cavity length and structure). Depending on the dynamical parameters, we are able to single out two distinct behaviors. For small diffusion and close to threshold, the system is forced to fulfill the geometrical constraints giving rise to a phase dynamics of quasicrystals. For larger diffusion, the system fragmentates into spatial domains giving rise to a competition between different patterns. By means of a geometrical argument, we show that the spatial distribution of domains is related to the symmetry imposed by the geometrical constraint and that the domain borders are disinclination defects. These defects being the nucleation centers of spatial domains, they trigger the onset of pattern competition.

PACS
42.60.Jf Beam characteristics: profile, intensity, and power; spatial pattern formation -
42.79.Kr Display devices, liquid-crystal devices - 42.65.Pc Optical bistability, multistability, and switching

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