Stability of the self-phase-locked pump-enhanced singly resonant parametric oscillator

Steady state and dynamics of the self-phase-locked (3→ω2ω,ω) subharmonic optical parametric oscillator are analyzed in the pump-and-signal resonant configurations, using an approximate analytical model and a full propagation model. The upper branch solutions are found always to be stable, regardless of the degree of pump enhancement. The domain of existence of stationary states is found to critically depend on the phase mismatch of the competing second-harmonic process.