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A theoretical study on sillenite crystal where it obtained an analytics  expression for diffraction efficiency in the on-Bragg regime in transverse configuration () is realized. It is considered non-mobile transmission gratings. An analysis of diffraction efficiency considering the non-uniformity of gratings, material properties, external parameters the applied field or the intensity of beam input or polarization or the optical activity of the crystal beetwen others is realized.

ANALYSIS OF THE DIFFRACTION EFFICIENCY IN TRANSVERSE CONFIGURATION IN SILLENITE CRYSTALS Bi12TiO20