Ev. Podivilov et al., TRANSVERSAL PARAMETRIC OSCILLATION AND ITS EXTERNAL STABILITY IN PHOTOREFRACTIVE SILLENITE CRYSTALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(5), 1998, pp. 6112-6126
We develop the nonlinear theory of transversal parametric oscillation
in photorefractive sillenite crystals. The theory is nonlinear in the
sense that the nonlinear feedback from the parametric space-charge fie
ld waves, above threshold of their excitation, is taken into account.
In this manner, an analytical solution for the stationary state of the
parametric waves is obtained. We analyze the stationary states' stabi
lity both against small perturbations in amplitude and phase (internal
stability) and against excitation of new secondary waves (external st
ability). It is shown that the stationary state of transversal paramet
ric oscillation is stable within certain regions of external and inter
nal parameters. This is opposed to the degenerate case (K/2 subharmoni
c generation), which is unstable.