Abstract

We have developed a method for the analysis of anisotropy of an acousto-optic figure of merit (AOFM), which is valid for the case of anisotropic diffraction in the trigonal crystals of the point symmetries 3m, 32, and $\overline{3}\mathrm{m}$. The method is verified via the example of ${\mathrm{LiNbO}}_3$ crystals. The relations for the effective elasto-optic coefficients and the AOFM are obtained for the three types of acousto-optic (AO) interactions peculiar for the anisotropic AO diffraction: the interaction of a so-called type VII with a quasi-longitudinal acoustic wave and the interactions of types VIII and IX with two quasi-transverse acoustic waves. The AO diffraction geometries providing maximal AOFM values have been determined for each of the mentioned interaction types. We have found that the maximum AOFM proper for ${\mathrm{LiNbO}}_3$ is equal to $15.9\times {10}^{–15}{\mathrm{s}}^3/\mathrm{kg}$. This value is achieved at the type IX of AO interactions in the interaction plane rotated by 60.0 deg around the principal $X$ axis with respect to the principal $X–Z$ plane. The type VIII of AO interactions is characterized by a comparable AOFM ($15.1\times {10}^{–15}{\mathrm{s}}^3/\mathrm{kg}$), which is realized in the $Y–Z$ interaction plane. A close comparison of our results with the available experimental data demonstrates their fairly good agreement.

© 2016 Optical Society of America

Anisotropy of the acousto-optic figure of merit for LiNbO₃ crystals: isotropic diffraction

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