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Optics and Spectroscopy

Theory of resonance degenerate four-wave mixing in fields of arbitrary intensity with consideration of particle diffusion in the gas

Igor' M Bel'dyugin, A. A. Lepeshkin, А. А. Степанов, Vladimir A. Shcheglov

Published Dec 1, 1987• 0 citations
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The example of two-frequency radiation is used in an analysis of a resonant antiparallel degenerate four-wave interaction of multifrequency radiation involving cascade transitions in diatomic molecules. The approximation of homogeneous broadening of spectral lines is used in the derivation of equations describing transient interaction of waves in fields of arbitrary intensity allowing for the diffusion of particles in a gas. Numerical calculations illustrate some characteristics of the two-frequency four-wave interaction in resonant media.
We consider the dependence of the four-wave-mixing signal from an ensemble of homogeneously broadened, two-level atoms on the statistics of the pump field. Two models for the pump field are considered: the chaotic field and the phase-diffusing field. A Monte Carlo simulation procedure is used to integrate the equations describing the four-wave-mixing process numerically. This technique allows consideration of arbitrary bandwidths for the pump and incorporates pump-induced saturation effects. Results are presented for the strength of the four-wave-mixing signal as a function of the pump intensity for both resonant and off-resonant cases. It is shown that the four-wave-mixing signal is sensitive to the statistics of the pump, particularly for strong fields.