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Forced-oscillator model of a photorefractive space-charge field that is due to carrier population variation

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Abstract

Without using the usual assumption of free-carrier quasi-static distribution, we derive a forced-oscillation equation with damping to describe the buildup of a fundamental harmonic space-charge field in inorganic photorefractive (PR) crystals. Thus the PR holographic records of static gratings and dynamic gratings can be understood in terms of the usual vibration theories. The solution of the equation is biexponential and encompasses two time constants that had been observed in some PR materials. The ratio of the two time constants is calculated as a function of experimental parameters, such as the total incident intensity and the applied electric field, to prove the applicability of our model. Results show that the difference between the two time constants may be so small that neither of the constants can be neglected. Additionally, the resonance frequencies obtained from the two models for the moving grating are compared, and a figure of merit Q is defined to describe the resonance properties. All the results show that our model can be applied to general cases.

© 2001 Optical Society of America

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Equations (53)

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