We have determined that the dynamics of the signal in photorefractive
two beam coupling can be described by a memory effect in the writing o
f the space charge field. Experimental and computational results confi
rm that this time dependence is dependent on the history of interferen
ce pattern responsible for the space charge field. From this memory ef
fect it is shown that if the input signal has a sinusoidal component m
uch smaller than its DC component, the sinusoidal component of the two
beam coupled signal is shifted by the response time of the photorefra
ctive medium. We have demonstrated, both theoretically and experimenta
lly, that for the non-depleting pump this response time is linear with
the interaction length.