Abstract

We deal with the vectorial equations of two-wave mixing without an external field (diffusion response) in ${\mathrm{Bi}}_{12}{\mathrm{SiO}}_{20}$ and ${\mathrm{Bi}}_{12}{\mathrm{TiO}}_{20}$ by splitting the vectorial amplitudes of signal and reference waves into a parallel part whose direction is determined by the optical activity rotation and into a perpendicular part. By doing so we obtain an approximation scheme that works particularly well after optimization with respect to the input polarization. Exploring the relevant crystal configurations [L, T, and D geometry of the (110) cut and ${\mathrm{T}}^{\prime }$ and ${\mathrm{D}}^{\prime }$ geometry of the (111) cut], we show that for common crystal thicknesses our approximate solution is almost as precise as the numeric solution.

© 2001 Optical Society of America

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