The spatiotemporal dynamics of a photorefractive phase-conjugate reson
ator is modeled in three spatial dimensions and time. The transverse d
imensions are sampled on a lattice in wave vector space while the long
itudinal dimension is sampled in real space. Numerical simulations are
shown to agree well with experimental data. At low Fresnel number, th
e cavity geometry and the transverse component of the Bragg mismatch a
re shown to dominate the dynamics, while the effects of the longitudin
al component of the mismatch are shown to become important in represen
ting the complex dynamics observed at higher Fresnel numbers.