CLASSICAL AND QUANTUM-PROPERTIES OF THE SUBHARMONIC-PUMPED PARAMETRICOSCILLATOR

A model for nondegenerate optical parametric oscillation in a continuo us-wave singly resonant frequency doubler is presented. General expres sions for the stationary state properties, such as threshold and conve rsion efficiency are derived for arbitrary focusing and arbitrary seco nd-harmonic generation as well as parametric generation wavevector mis matches Delta k, Delta K. For large Delta k, where the SHG efficiency decreases roughly as \Delta k\(-2), the oscillation threshold increase s roughly linearly with \Delta k\. Substantial conversion efficiencies for the generation of signal and idler powers are predicted for cavit ies with good escape efficiency. Further salient features are optical limiting of the harmonic output at zero wavevector mismatches and para metric generation-induced second-harmonic generation when Delta kL = 2 pi N. The quantum properties of the system are a special case of the doubly-resonant frequency doubler discussed by Marte [Phys. Rev. Lett. 74 (1995) 4815]: the system is predicted to be a source of highly qua ntum correlated signal and idler waves (twin beams).