Kinetics of domain walls in the degenerate optical parametric oscillator

The kinetics of the domain walls that occur in the degenerate optical param etric oscillator are studied within the propagation model. The formation of large intensity peaks for null and positive signal mistuning is shown to b e associated with a dynamical scaling law similar to t(1/3). In the paramet er range where the degenerate optical parametric operator reduces to potent ial systems, the growth law similar to t(1/2) is observed. It is also obtai ned for negative mistuning of order unity, and up to three times above the threshold, i.e. beyond the validity range of the Swift-Hohenberg model equa tion. In addition, we describe the labyrinth formation which displays self- similar growth with the law similar to t(1/5).