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Nonlinear Optics

Fidelity-threshold and critical slowing down in photorefractive double phase conjugate mirrors

Doruk Engin, Sergei S. Orlov, Mordechai Segev, Avigail Yariv, George C. Valley

Published Dec 17, 2002• 0 citations
Publisher

Abstract

Summary form only given. In conclusion, we present theoretical and experimental results that analyze the double phase conjugation process. We establish the existence of gain-threshold and point out the differences between conjugation fidelity and conjugation reflectivity. We study the oscillatory nature of the DPCM and predict the existence of critical slowing down near the gain-threshold.>

DOI
10.1109/nlo.1994.470803

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Results of recent experimental and theoretical investigations on the role of fanning in the operation of several popular photorefractive self-pumped FWM geometries, including the double phase conjugate mirror (DPCM), the ring oscillator, the semilinear mirror, the system of two coupled DPCMs, and the total internal reflection (TIR) mirror, are presented. The results can be divided into two groups. Geometries of the first group (the DPCM and the ring oscillator) have soft excitation thresholds. Geometries of the second group (the semilinear mirror, the system of the two DPCMs and the TIR mirror) have hard excitation thresholds. Geometries of the first group experience a noticeable influence of fanning only when the level of fanning of a single pumping beam passing through a crystal, is high. Geometries of the second group, such as the semilinear mirror, the system of two DPCMs, and the TIR mirror without fanning, are not self-starting.>

IEEE Journal of Quantum Electronics•Jan 1, 1993•28 citations
Summary form only given. In conclusion, we present theoretical and experimental results that analyze the double phase conjugation process. We establish the existence of gain-threshold and point out the differences between conjugation fidelity and conjugation reflectivity. We study the oscillatory nature of the DPCM and predict the existence of critical slowing down near the gain-threshold.>
The double phase-conjugate mirror (DPCM) is a stimulated four-wave mixing effect, mediated by either a chi(3) mechanism or a photorefractive effect. The type of grating that operates in the DPCM can be a transmission or reflection grating, depending on the wave-mixing configuration. Any combination of nonlinearity and grating geometry is possible, so that four general DPCM classes emerge. An analytic solution of the last unsolved class, the photorefractive reflection DPCM, is presented. With these results, general observations concerning the four categories of double phase conjugation are made. An important conclusion is that the type of grating geometry and its associated boundary conditions dictate many of the basic features of the DPCM, regardless of the nonlinearity involved.
Results of recent experimental and theoretical investigations on the role of fanning in the operation of several popular photorefractive self-pumped FWM geometries, including the double phase conjugate mirror (DPCM), the ring oscillator, the semilinear mirror, the system of two coupled DPCMs, and the total internal reflection (TIR) mirror, are presented. The results can be divided into two groups. Geometries of the first group (the DPCM and the ring oscillator) have soft excitation thresholds. Geometries of the second group (the semilinear mirror, the system of the two DPCMs and the TIR mirror) have hard excitation thresholds. Geometries of the first group experience a noticeable influence of fanning only when the level of fanning of a single pumping beam passing through a crystal, is high. Geometries of the second group, such as the semilinear mirror, the system of two DPCMs, and the TIR mirror without fanning, are not self-starting.>