The fanning behavior of the two interacting laser beams in a double phase-c
onjugate mirror (DPCM) obviously influences the characteristics of the mirr
or. We present a two-dimensional experimental study and model of the beam-f
anning patterns obtained in nominally undoped and cobalt-doped (20 parts in
10(6)) BaTiO3 samples. We propose a numerical method based on beam couplin
g theory that allows us to determine, for each crystal, which directions wi
ll develop significant fanning. We thus interpret the beam-fanning patterns
by focusing on the influence of the incident beam's width and incidence an
gle. The time evolution of the intensity in each of these directions is als
o studied and modeled. This model has been applied to DPCM to enable both i
ncident beams to generate fanning in a common direction, with good results
in terms of response time, efficiency, and stability. (C) 2001 Optical Soci
ety of America.