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Theory of Bistability and Self-Pulsing in an Optical Ring Circuit Having Saturable Photorefractive Gain, Loss, and Photorefractive Feedback

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Abstract

We present a theory for an optical ring circuit in which gain, loss, and feedback are provided by means of refractive-index gratings in photorefractive crystals. Maxwell’s equations and the Kukhtarev charge transport model describe the evolution of the optical fields and the gratings, respectively. Steady-state solutions of the equations exhibit bistability. Dynamic solutions, obtained numerically, exhibit either history-dependent bistability due to the dependence of the feedback coupling element on its past, or self pulsing, depending on the relative speeds of the photorefractive gain and loss.

© 1991 Optical Society of America

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