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Transverse dynamics of a phase-conjugate resonator. II: fast nonlinear medium

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Abstract

We investigate the transverse dynamics of a high-diffraction phase-conjugate resonator in which the phase-conjugate mirror is a diffusive Kerr medium with instantaneous response time and operates in the Raman–Nath scattering regime. A period-doubling scenario from regular behavior to low-dimensional chaos is found and the route to high-dimensional chaotic-attractors is analyzed by means of the spectrum of the Lyapunov exponents. We also compute both the Lyapunov dimension and the correlation dimension for a specific attractor and find different values.

© 1987 Optical Society of America

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