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Parametric Oscillation in 4-Wave-Mixing with Nondegenerate Pump

Gagik Yu. Kryuchkyan, K.G. Petrossian, Karen V. Kheruntsyan

Published Jun 1, 1995• 0 citations
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Abstract

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 are considered taking into account the effects of phase modulation and ef depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported or 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.

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A theoretical study of the stationary regime of a four-wave mixing oscillator inside a cavity is presented. The theory is developed in a situation where the phase-conjugate reflection R/sub c/ is much smaller than 1. To find the intensity emitted by this oscillator, two types of saturation mechanism, pump-beam depletion and atomic saturation, are considered. The principal characteristics of the degenerate oscillation are the following: very-low-threshold, bistable behavior, and phase locking of the oscillating beam on the pump beams. In the nondegenerate case, it is shown that the position of the phase-conjugate medium inside the cavity is an essential parameter to determine the threshold condition.>

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Mar 8, 1989•0 citations
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 are considered taking into account the effects of phase modulation and ef depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported or 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.
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.
The authors present a quantum analysis of four-wave mixing in a non-resonant nonlinear medium inside a cavity which is driven by two driving fields. In this process a nonlinear medium couples two pump modes with a signal mode of the frequency equal to the half-sum of the two pump field frequencies. Three types of stable steady-state solutions of the deterministic problem, describing three regimes of oscillation, are found: one below threshold and two different above-threshold regimes. The spectra of fluctuations of the quadrature-phase amplitudes for all three modes are calculated. It is found that in the above-threshold regime each of three modes may display a squeezed noise reduction. Below threshold a squeezing is realized for the central mode.
Self-oscillation of two counterpropagating waves in four-wave mixing under orthogonal pump configuration is analyzed perturbatively, taking into account the pump depletion and the refractive-index variation. A number of threshold pump intensities corresponding to different oscillating field distributions are obtained. Certain values of pump intensity permit multiple solutions for the oscillating field distribution and the corresponding output power of the oscillating waves, indicating a possibility of multistability.
A theoretical study of the stationary regime of a four-wave mixing oscillator inside a cavity is presented. The theory is developed in a situation where the phase-conjugate reflection R/sub c/ is much smaller than 1. To find the intensity emitted by this oscillator, two types of saturation mechanism, pump-beam depletion and atomic saturation, are considered. The principal characteristics of the degenerate oscillation are the following: very-low-threshold, bistable behavior, and phase locking of the oscillating beam on the pump beams. In the nondegenerate case, it is shown that the position of the phase-conjugate medium inside the cavity is an essential parameter to determine the threshold condition.>
The exact theory of degenerate four-wave mixing in a Kerr-like medium in the Bragg scattering regime is used to study the reflectivity of phase-conjugate mirrors pumped by intense laser beams. The analysis takes into account pump depletion, nonlinear phase modulation and the relaxation time of the nonlinearity. The steady-state response exhibits multivalued reflectivity, hysteresis and potential bistability; however, the transient response shows that at most one value of the phase-conjugate reflectivity is stable. Periodic or chaotic pulsations are predicted beyond threshold values of pump intensity. The onset of a natural oscillation in the Kerr-like medium is also predicted in the absence of a continuous probe beam; the resulting field amplitude is stable and weakly sensitive upon the presence of external noise.