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In this paper, we study optically parametric oscillation in a doubly resonant microsized cavity in a lithium niobate photonic crystal. Maxwell's equations are solved directly using the finite-difference time-domain scheme to compute stationary solutions and to obtain the bifurcation diagrams for different pump detunings. The results are compared to predictions from a mean-field approach.
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Iliew et al. (2006) studied this question.
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