We systematically study the formation of cavity solitons in a high-finesse, doubly resonant degenerate optical parametric oscillator. Three types of cavity soliton, emanating from different plane-wave critical points, are identified. By means of amplitude equations the bifurcation dynamics of these solutions is studied and classified. We compare cavity solitons calculated from amplitude equations with the full numerical solutions near the critical points and trace their evolution numerically far from bifurcation. We found cavity soliton types previously not identified, namely, dark and oscillating solitons. These numerical studies are complemented by a linear stability analysis of cavity solitons. Various decay situations for unstable cavity solitons are discussed.
© 2002 Optical Society of America
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
C. Etrich, D. Michaelis, and F. Lederer, "Bifurcations, stability, and multistability of cavity solitons in parametric downconversion," J. Opt. Soc. Am. B 19, 792-801 (2002)