We investigate the transverse dynamics of a high-diffraction phase-conjugate resonator in which the phaseconjugate 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
G. Reiner, P. Meystre, and E. M. Wright, "Transverse dynamics of a phase-conjugate resonator. II: fast nonlinear medium," J. Opt. Soc. Am. B 4, 865-874 (1987)