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Analysis of transient phase conjugation in photorefractive media

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Abstract

The response of a photorefractive phase conjugator to time-varying signals is examined. Maxwell’s equations are coupled to the material equations followed by linearization using a strong undepleted pump approximation and simplification by the slowly varying envelope approximation. The resulting set of equations is solved by frequency-domain techniques. The solution is expressed in terms of a transfer function that relates the complex frequencies of the probe and the conjugate field. Limiting forms of the transfer function are derived, and a comparison with a Kerr material is made. The effects of various parameters on the fidelity and stability of the conjugation process are determined. Numerical results are presented showing the distortion of time-varying signals owing to the nonideal conjugation process.

© 1988 Optical Society of America

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