Modulated optical structures over a modulationally stable medium

Year: 2005

Authors: Durniak C., Taki M., Tlidi M., Ramazza PL., Bortolozzo U., Kozyreff G.

Autors Affiliation: Univ Sci & Technol Lille, CNRS, UMR 8523, Lab Phys Lasers Atomes & Mol, F-59655 Villeneuve Dascq, France; Univ Libre Bruxelles, B-1050 Brussels, Belgium; Ist Nazl Ott Applicata, I-50125 Florence, Italy; Univ Oxford, Oxford Ctr Ind & Appl Math, Oxford OX1 3LB, England

Abstract: Evidence of modulated dissipative structures with an intrinsic wavelength in a nonlinear optical system devoid of Turing instability is given. They are found in the transverse field distribution of an optical cavity containing a liquid crystal light valve. Their existence is related to a transition from flat to modulated fronts connecting the unstable middle branch of a bistability cycle and either of the two stable uniform states. We first analyze the cavity in the limit of nascent bistability, where a modified Swift-Hohenberg equation is derived. This allows for a simple analytical expression of the threshold associated with the transition as well as the wavelength of the emerging structure. Numerical simulations show development of ring-shaped modulated fronts and confirm analytical predictions. We then turn to the full model and find the same transition, both analytically and numerically, proving that this transition in not limited to nascent bistability regimes.

Journal/Review: PHYSICAL REVIEW E

Volume: 72 (2)      Pages from: 026607-1  to: 026607-8

KeyWords: CRYSTAL LIGHT VALVE; NONLINEAR OPTICS; PARAMETRIC OSCILLATORS; PATTERN SELECTION; WALK-OFF
DOI: 10.1103/PhysRevE.72.026607

Citations: 13
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