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Acta Physica Sinica

THE THEORY OF RESONANTLY ENHANCED FOUR-WAVE MIXING IN ABSORBING MEDIA

FAN JUN-YING, Cunkai Wu, WANG ZHI-YING, 中国科学院上海光学精密机械研究所

Published Jan 1, 1980• 2 citations
Publisher

Abstract

In this work, the exact result of the problem of four-wave mixing in resonant absorbing media has been obtained. The effects of the degenerate four-wave mixing in the Nd3+: glass were calculated, the theoretical results agree well with the experimental measurement.
DOI
10.7498/aps.29.897

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A theory of degenerate four-wave mixing in absorbing media is developed in terms of a general nonlinear susceptibility. The predictions of the theory are examined in both high and low reflectivity regimes and the specific nonlinearity-inducing mechanisms of thermally induced refractive index changes, the Kerr effect, and saturable absorption are considered. Such a theory is of particular relevance to degenerate four-wave mixing experiments in the ultraviolet and the predictions of the theory are compared with results obtained from such experiments.
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We show that four-wave mixing in optically dense media is very different than in an optically thin medium. In time-resolved degenerate four-wave mixing we experimentally observe ``negative'' time delay response, fast decay rates at short delay times, and broad shoulders at long delays. The observations are explained very well in terms of pulse propagation effects, and a theoretical framework is presented for the analysis of the nonlinear interaction. We treat both the incident and generated fields self-consistently, and solve for the interaction of short pulses with a resonantly absorbing medium. The implications for the extraction of relaxation rates from four-wave-mixing experiments involving ultrashort pulses in optically dense matter are discussed.