Pattern formation and competition in nonlinear optics

Year: 1999

Authors: Arecchi F.T., Boccaletti S., Ramazza P.L.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Florence, Italy;
Dept. of Physics and Apllied Mathematics, Universidad de Navarra, Irunlarrea s/n, Pamplona, Spain
Navarra, Dept Appl Math & Phys.

Abstract: Pattern formation and competition occur in a nonlinear extended medium if dissipation allows for attracting sets, independently of initial and boundary conditions. This intrinsic patterning emerges from a reaction diffusion dynamics (Turing chemical patterns). In optics, the coupling of an electromagnetic field to a polarizable medium and the presence of losses induce a more general (diffraction-diffusion) mechanism of pattern formation. The presence of a coherent phase propagation may lead to a large set of unstable bands and hence to a richer variety with respect to the chemical case. A review of different experimental situations is presented, including a discussion on suitable indicators which characterize the different regimes. Vistas on perspective new phenomena and applications include an extension to atom optics. (C) 1999 Elsevier Science B.V. All rights reserved.

Journal/Review: PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Volume: 318 (1/2)      Pages from: 1  to: 83

KeyWords: nonlinear optics; nonlinear dynamics; pattern formation
DOI: 10.1016/S0370-1573(99)00007-1

Citations: 292
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