Plane-wave theory of parametric oscillator and coupled oscillator-upconverter

Previous steady-state plane-wave theory for the singly resonant parametric oscillator has been extended to the case of arbitrary mirror reflectivities using the exact solutions given by Armstrong et al. [3] for the parametric interaction of three traveling waves. Numerical results are obtained for the efficiency, pump power transmission, optimum output coupling, threshold for the second mode, etc., for parametric oscillators with arbitrary mirror reflectivities and operating under arbitrary power levels. The analysis is also applied to the intracavity-coupled parametric oscillator-upconverter.