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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Polarization Bistability And Instability In Degenerate Four-Wave Mixing

Kenju Otsuka, Junji Yumoto

Published Oct 14, 1986• 1 citation
Publisher

Abstract

Non-integral Maxwell equations are derived for an interfering beam scheme, by taking into account a tensor property inherent in a third-order nonlinear susceptibility, χ (3), and provide new insights into four-wave mixing theory, in particular, polarization bistability and instability.
DOI
10.1117/12.938864

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The functional relations have been presented between the complex amplitude (including polarization) of reflected wave on the one hand and amplitudes, polarizations of pump and probe waves, the third-order nonlinear susceptibility on the other hand, for degenerate four-wave mixing (DFWM) in isotropic medium, in which the polarizations are linear and/or circular, and the geometry is collinear or non-collinear. In the non-collinear geometry, when the polarizations of pump waves are parallel to each other, one can determine the ratio x1111/x1221 from the angles between polarization directions of probe and reflected waves; when the polarizations of pump are circular polarizations of the same handedness, one can get the ideal complex conjugate wave in this geometry. In the collinear geometry, there are always some non-conjugate component in the reflected wave, and the functional relation between reflection coefficient of amplitude and the thickness of sample can have the form of tangent function, hyperbolic tangent function and linear function; when the polarizations of pump waves are parallel to each other and |x1221|> |x1122|, this geometry is capable of generating self-oscillation; when polarizations of pump are circular ones of different handedness, DFWM acts as an ideal plane-mirror for probe wave with circular polarization, etc. The results can be used to explain some well-known experimental results and provide some theoretical guidance for designing new experiments.