On the Buildup and Decay of Photorefractive Wave Mixing Processes

M. Horowitz, B. Fischer
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Abstract

Photorefractive media have been used for many novel applications in image processing. One interesting use is the novelty filter which is an all optical processor based on the response of two wave mixing (2-WM) or four wave mixing (4-WM) [1,2]. It is obvious that the temporal dymnamics of the wave mixing process is essential to understand such processes. However, since the overall photorefractive dynamics, including the wave mixing part, is described by complicated nonlinear partial differential equations, it is hard to obtain a general solution. The study has been largely limited to steady state behavior and the response of the photorefractive material only, without taking into account the dynamics of the wave coupling effects.
光折变波混频过程的累积与衰减
光折变介质在图像处理中有许多新的应用。一种有趣的用途是新型滤波器,它是基于两波混频(2- wm)或四波混频(4-WM)响应的全光处理器[1,2]。很明显,波混合过程的时间动力学对于理解这类过程是必不可少的。然而,由于整个光折变动力学,包括波混频部分,是用复杂的非线性偏微分方程来描述的,很难得到通解。目前的研究主要局限于光折变材料的稳态行为和光折变材料的响应,而没有考虑到波耦合效应的动力学。
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