Abstract: Since acousto-optic tunable filter (AOTF) is one of the volume gratings that has an extremely small dielectric constant (or index of refraction) modulation it needs the grate volume (about mm or cm-order thickness) to attain the sufficient diffraction efficiency. If the width or the coherence length of incident light beam is much smaller than the width of the volume gratings, AOTF needs to be treated by 2-dimensional (2D) coupled mode theory to study the amplitude distributions of the transmission and the diffraction light waves, the spatial resolving power of the Bragg diffraction imaging, and the trace of energy flow, which cannot be obtained by 1D-model. Among the above- mentioned 2D problems, we theoretically studied the trace of energy flow of AOTF made of TeO$-2$/ crystal, taking account of being an optically anisotropic medium. !13
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