Volume 55, Number 1, July 2001
|Page(s)||26 - 32|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 December 2003|
Instability of optical tetrahedral dissipative crystals
Optique Nonlinéaire Théorique, Université Libre de Bruxelles
Campus Plaine CP 231, B-1050 Bruxelles, Belgium
Accepted: 19 April 2001
Using a normal form analysis, we derive general conditions under which tetrahedral crystals are stable. This result is applied to two driven nonlinear optical systems: degenerate optical parametric oscillator and passive cavities with defocusing Kerr media, for which we prove that tetrahedral crystals are always unstable close to the Turing instability. This result arises from the interaction of the quasi-neutral mode with the Turing modes. Without this interaction, tetrahedral crystals may be stable.
PACS: 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 42.60.Mi – Dynamical laser instabilities; noisy laser behavior / 42.65.Pc – Optical bistability, multistability, and switching
© EDP Sciences, 2001
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