STABILITY ANALYSIS OF 2 PHOTOREFRACTIVE RING-RESONATOR CIRCUITS - THEFLIP-FLOP AND THE FEATURE EXTRACTOR

We analyze the stability of two recently demonstrated photorefractive resonator circuits. The analysis is based on single-mode models of the multimode circuits. The flip-flop, which consists of two competitivel y coupled rings, is considered in the two limits where the rings share or have separate gain volumes. Both configurations are found to be st able for typical experimental conditions. The feature extractor consis ts of two rings with a shared gain volume. It is found to be unconditi onally stable. The results are discussed in the context of the experim ental demonstrations.