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Journal of Modern Optics

Forward and Backward Four-wave Mixing of Non-classical Light with Pump Depletion

Jan Peřina, J. Křepelka

Published Dec 1, 1992• 7 citations
Publisher

Abstract

Photon statistics and non-classical behaviour of forward and backward four-wave mixing are examined including the coupling of modes in the approximation of small fluctuations around a stationary point, which is analytically determined and conditions for its stability are obtained. The depletion of pump modes is involved and effects of nonlinear dynamics, non-classical behaviour of input radiation, external noise and losses are included.

DOI
10.1080/09500349214552441

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Photon statistics and non-classical behaviour of forward and backward four-wave mixing are examined including the coupling of modes in the approximation of small fluctuations around a stationary point, which is analytically determined and conditions for its stability are obtained. The depletion of pump modes is involved and effects of nonlinear dynamics, non-classical behaviour of input radiation, external noise and losses are included.
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A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are considered taking into account the effects of phase modulation and of depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported of the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.