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Optics Letters

Instability of the resonance enhancement of moving photorefractive gratings

Boris I. Sturman, Matthias Mann, Klaus H. Ringhofer

Published May 1, 1993• 7 citations
Publisher

Abstract

It is shown that a resonance-enhanced moving grating in a photorefractive crystal is unstable against the growth of weakly damped space-charge waves. The threshold of the instability and the rate of exponential growth of the waves are found.
DOI
10.1364/ol.18.000702

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We propose a theoretical model for the recently reported anomalously long decay of a space-charge field that was resonantly excited in a photorefractive sillenite crystal [Phys. Rev. Lett. 79, 67 (1997)]. The model is based on the conventional concept of charge transfer and does not require excessively large values of the quality factor for space-charge waves. The effect in question is qualified as a critical slowing of the relaxation process as the threshold of optical oscillation is approached.
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We present a closed-form solution for the two-wave coupling process, resulting in a solution with an interesting part, the arbitrary function Lambda(t), not being considered in the previous works. In the photorefractive medium, it has been shown that a moving grating will produce a phase shift in the coupling constant. To our knowledge, this has not been derived directly from the grating dynamic equations. We will also show that the temporal dynamics does not have any asymptotically stable equilibrium points of an exponential form. As an example, we have developed resonance conditions resulting in a new expression for the frequency detuning of a resonator with a photorefractive gain medium.