Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2000-02-16
Nonlinear Sciences
Pattern Formation and Solitons
11 pages, 5 figures, submitted to Optics Communications
Scientific paper
10.1016/S0030-4018(00)00561-7
The phenomenon of pattern formation in nonlinear optical resonators is commonly related to an off-resonance excitation mechanism, where patterns occur due to mismatch between the excitation and resonance frequency. In this paper we show that the patterns in nonlinear optics can also occur due to the interplay between diffractions of coupled field components. The reported mechanism is analogous to that of local activation and lateral inhibition found in reaction-diffusion systems by Turing. We study concretely the degenerate optical parametric oscillators. A local activator-lateral inhibitor mechanism is responsible for generation of Turing patterns in form of hexagons.
Sanchez-Morcillo Victor J.
Staliunas Kestutis
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