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Technical report of IEICE. OPE

Analysis and experiment of phase conjugate reflectivity of cross polarized four-wave mixing with two-wave mixing approximation

Tomotsugu Sekine, Atushi Okamoto, Hisashi Matsuoka, Kunihiro Sato

Published Aug 27, 1998• 0 citations
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We analyze the phase-conjugate reflectivity and the amplification property of cross-polarized four-wave mixing with a photorefractive BaTiO3 crystal in consideration of the pump-beam depletion. The coupled-wave equations of cross-polarized four-wave mixing with ordinary writing beams and an extraordinary reading beam are derived and solved with the grating-integral method. The results of calculations of the reflectivity and the amplification factors will be compared with the result under the undepleted-pumps approximation. In addition, to achieve high conversion efficiency, the optimum conditions for the intensity ratio and the angle configurations of the probe and pump beams are also discussed.

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In parallel-polarized photorefractive four-wave mixing the phase-matching condition can be achieved automatically if the pump beams are allowed to propagate in directions opposite to each other. However, in cross-polarized photorefractive four-wave mixing, the incident angles of the beams should be adjusted to maintain the phase-matching condition. We analyze the phase-matching properties of cross-polarized four-wave mixing with extraordinary writing beams and an ordinary reading beam and obtain the phase-conjugate reflectivity in consideration of phase mismatching. We also perform an experiment in which a phase-conjugate beam is generated in cross-polarized four-wave mixing and confirm the analyses.
Summary form only given. Four-wave mixing with photorefractive crystals has been an active area, and cross-polarized four-wave mixing (CPFWM) has attracted much attention due to its advantage of efficient utilization of the phase conjugate beam. Recently, multi-valued phase conjugate reflectivity has been studied and its availability for optical applications such as optical memories and switches has been suggested, however the studies have been restricted to the case of parallel-polarized four-wave mixing, or even the existence of the multi-valued property of CPFWM has not been found so far. We prove the existence of multi-valued property of the phase conjugate reflectivity in CPFWM and reveal a threshold value of the coupling strength of beam interaction to turn it up. As a result, we show a method to control the threshold value and suggest the utilities of multi-valued property for optical applications.
We analyze the phase-conjugate reflectivity and the amplification property of cross-polarized four-wave mixing with a photorefractive BaTiO3 crystal in consideration of the pump-beam depletion. The coupled-wave equations of cross-polarized four-wave mixing with ordinary writing beams and an extraordinary reading beam are derived and solved with the grating-integral method. The results of calculations of the reflectivity and the amplification factors will be compared with the result under the undepleted-pumps approximation. In addition, to achieve high conversion efficiency, the optimum conditions for the intensity ratio and the angle configurations of the probe and pump beams are also discussed.