Low dimensional modulational chaos in diffractive nonlinear cavities

Year: 1992

Authors: Haelterman M., Trillo S., Wabnitz S.

Autors Affiliation: Fondazione Ugo Bordoni, via B. Castiglione 59, 00142 Rome, Italy

Abstract: The time development of transverse modulational instabilities in nonlinear passive optical cavities may generate both stable and chaotic spatial patterns. The description of these phenomena may be done by means of an averaged forced and damped nonlinear Schrödinger equation. We show that a truncated four-dimensional dynamical system may capture the nonlinear dynamical behavior of the optical field. We present a simple geometrical description of the temporally chaotic and spatially coherent transmitted field.


Volume: 93 (5-6)      Pages from: 343  to: 349

More Information: We acknowledge fruitful comments by the referee. This work was carried out in the framework of the agreement between Fondazione Ugo Bordoni and the Instituto Superiore Poste e Telecomunicazioni. This work was partially supported by a twinning contract of the Commission of the European Communities.
KeyWords: Chaos theory; Light modulation; Light transmission; Optical resonators; Optics, Chaotic spatial patterns; Diffractive cavities; Modulational chaos; Nonlinear cavities; Optical cavities; Passive optical cavities, Cavity resonators
DOI: 10.1016/0030-4018(92)90198-Z