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Steady-state and dynamics of the self-phase-locked (3\omega ==> 2\omega,\omega) subharmonic optical parametric oscillator are analyzed in thepump-and-signal resonant configuration, using an approximate analytical modeland a full propagation model. The upper branch solutions are found alwaysstable, regardless of the degree of pump enhancement. The domain of existenceof stationary states is found to critically depend on the phase-mismatch of thecompeting second-harmonic process.Comment: LateX2e/RevteX4, 4 pages, 5 figures. Submitted to Phys. Rev. A  (accepted on Jan. 17, 2003

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