Abstract
A theory of multimode oscillation in an optical unidirectional ring resonator with photorefractive gain was given in the weak-field limit. In nondegenerate state, the system is stable and can be described by Lotka-Voterra equation. While the system will becomes unstable in certain circumstance owing to the mode-mode interaction in the degenerate or quasi-degenerate condition, such as the periodic alternation behavior.
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