E. Jaatinen et al., DYNAMIC CONTROL OF THE SPATIAL MODES IN THE EXTERNAL RESONATOR OF A SEMILINEAR PHASE-CONJUGATE MIRROR, Journal of the Optical Society of America. B, Optical physics, 10(5), 1993, pp. 933-940
We describe a technique that causes the radiation within the external
resonator of a self-starting, semilinear phase-conjugate mirror to col
lapse into a single spatial mode. We have developed a model based on c
ompetition between gratings in one interaction volume to explain the o
bserved dynamic behavior. The model shows that, once the system reache
s the steady state, two gratings, whose amplitudes vary throughout spa
ce in proportion to each other, form. As a result, we can obtain analy
tic solutions for the steady state by using an interpretation of four-
wave mixing in terms of two-wave mixing. This interpretation can be us
ed in both the transmission and the reflection geometries for real or
complex coupling with no absorption.