STEADY-STATE ANALYSIS OF PHOTOREFRACTIVE RING-RESONATOR WITH SELF-PUMPED 4-WAVE-MIXING (PRRR-SPFWM)

A photorefractive ring resonator with self-pumped four-wave mixing (PR RR-SPFWM) in which the Cat mirror region and the four-wave mixing regi on are formed in a single photorefractive crystal is proposed, and the steady-state analysis of this unknown device is first performed. Sinc e the backward pump beam is generated as a phase conjugate of the forw ard pump beam in the Cat mirror region, counterpropagation of both pum p beams is spontaneously obtained. We analyze its oscillation intensit ies in steady state, and show that the threshold coupling strength of oscillation depends on the cavity mirror reflectivity and the reflecti vity of the Cat mirror region. We also show interesting property of PR RR-SPFWM, the possibility to switch over between unidirectional and bi directional oscillation by controlling the amplitude of coupling stren gth.