Abstract
The existence and competition of a novel class of hexagonal patterns in
a nonlinear optical system are reported. These states are found in a mean-field
model of a doubly resonant frequency divide-by-3 optical parametric oscillator in which the multistep parametric process, , is weakly phase matched. A generalized Swift–Hohenberg
equation and a set of amplitude equations are derived to describe the coexistence
of hexagonal patterns formed by the superposition of either three or six phase-locked
tilted waves.
© 2001 Optical Society of America
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