Author： Tlidi M. Hilali M'F Mandel P.
Publisher： Edp Sciences
E-ISSN： 1286-4854|55|1|26-32
ISSN： 0295-5075
Source： EPL (EUROPHYSICS LETTERS), Vol.55, Iss.1, 2010-03, pp. : 26-32
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Abstract
Using a normal form analysis, we derive general conditions under whichtetrahedral crystals are stable. This result is applied to two drivennonlinear optical systems: degenerate optical parametric oscillator andpassive cavities with defocusing Kerr media, for which we prove thattetrahedral crystals are always unstable close to the Turing instability.This result arises from the interaction of the quasi-neutral mode withthe Turing modes. Without this interaction, tetrahedral crystals may be stable.
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