A technique is developed by which diffracted orders of light in the Bragg regime may be calculated for incident light beams with arbitrary profiles. Beginning with the 2-D multiple plane-wave scattering formalism developed by Korpel and Poon, we develop plane wave transfer functions for nth order scattered light. Explicit examples of this method for two diffracted orders only are then treated in detail. The diffracted fields for an arbitrary profile incident beam are then formulated by employing both direct Fourier transform and convolution methods. The resulting integrals using the former method are tested for a Gaussian incident beam, and analytical solutions are obtained for the limiting cases of â → ∞ and â →0 where â denotes the peak phase delay through the acoustic medium. These limiting solutions are shown to be in qualitative agreement with known results, as well as providing physical insight to the diffraction process.