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Soviet Physics Journal

Vector synchronism in mixing of light waves in dielectric crystals

G. V. Krivoshchekov, Vladimir I. Stroganov, В. М. Тарасов, V. I. Samarin, V. A. Rybyanets

Published Dec 1, 1970• 1 citation
Publisher
DOI
10.1007/bf00820126

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Stationary four-wave mixing in a shifted photorefractive transmission grating formed in cubic gyrotropic crystals of the 23 symmetry is considered in the case of low contrasts of the original optical interference pattern. Expressions for the transmission and reflection coefficients for the phase conjugation of weak light beams in arbitrarily cut samples are obtained by solving exactly the equations for the coupled waves that include the effects of the natural circular birefringence and the linear birefringence induced by the external field. The conditions for the generation of phase-conjugated waves are determined for the mixing at 633 nm in Bi 12 SiO 20 and Bi 12 SiO 20 samples in the case when the grating vector is parallel to the [110] axis and the incident pump waves propagate in the (001) crystal plane and have arbitrary polarisations.
Reciprocity is a fundamental law in both quantum physics1 and classical physics.2 For electromagnetic scattering by a static dielectric medium, the reciprocity relationship is written as S(k,k′) = S(-k′,-k), where S(k,k′) is the amplitude-scattering coefficient for incident plane wave with wave vector k and scattered plane wave with wave vector k'. Notice that (-k',-k) is the reversed scattering process of the direct scattering (k,k′), and the reciprocity relationship stated above is valid even when the medium has absorption loss.