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Soviet Journal of Quantum Electronics

Pump fluctuations, phase mismatch, and detuning from resonances in the formation of quantum states of a nondegenerate resonant parametric oscillator

А. В. Белинский

Published Jan 31, 1992• 0 citations
Publisher

Abstract

The evolution of quantum fields in a three-resonator optical parametric oscillator is analyzed. It is shown that the frequencies of the emitted waves may be stabilized if the influence of the phase mismatch is compensated by suitable changes in the optical length of the resonator. Spectra of the signal intensity fluctuations are calculated and investigated taking into account various destabilizing factors.

DOI
10.1070/qe1992v022n01abeh003330

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The evolution of quantum fields in a three-resonator optical parametric oscillator is analyzed. It is shown that the frequencies of the emitted waves may be stabilized if the influence of the phase mismatch is compensated by suitable changes in the optical length of the resonator. Spectra of the signal intensity fluctuations are calculated and investigated taking into account various destabilizing factors.
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The quantum fluctuations in a nondegenerate optical parametric oscillator are calculated without the standard linearization assumption. Analytical results are obtained with the help of a mean-field approximation, which is exact in the limit of a fast decaying subharmonic mode. This approach is equivalent to a linearization around a self-consistently determined pump field amplitude that takes into account fluctuations of the subharmonic mode. The range of validity of the mean-field approximation is analyzed, and the influence of the system size on field amplitudes and squeezing is discussed.
Quantum fluctuations and squeezing of the signal field generated by a degenerate optical parametric oscillator are sensitive to the phase and amplitude fluctuations of the second-harmonic pump. The analysis reported here extends our previous calculations for a perfectly monochromatic noise-free pump to allow for finite pump amplitude and phase fluctuations. We treat the typically intense pump field with its fluctuations as a classical Gaussian stochastic process in two limits: first, when the pump has amplitude fluctuations but its phase is fixed and second, when its phase diffuses but its amplitude is fixed. Since pump amplitude noise affects the evolution of the signal field multiplicatively, it has a lesser impact on the quantum fluctuations of the signal than pump phase diffusion which compromises such fluctuations via the extreme phase sensitivity of the parametric amplification process. For the latter limit, our calculations extend the work of Gea-Banacloche and Zubairy [Phys. Rev. A 42, 1742 (1990)] to cavities with arbitrary transmission coefficients for the bounding mirrors.