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Abstract

The transition to the stationary state of the optical parametric oscillator is studied under the assumption that the deviation of the phases Δϕ = ϕ3 − (ϕ1 + ϕ2) and ϕ3 (the index j = 1, 2, 3 refers to signal, idler and pump wave, respectively) from their stationary values is negligible. Analytic solutions for the deviations of the amplitudes are given in linear approximation, while the exact equations are solved using an analogue computer. In agreement with the analytic results, two types of transient processes are obtained a) purely exponential damping, and b) exponentially damped sinusoidal oscillations.