Far-Field Diffraction Patterns of Scattered Light Arising from Interaction between Acoustic and Light Waves with Complex Amplitude Distributions

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Optical Bragg reflection, when both acoustic and incident light waves have complex amplitude distributions, is treated mainly from theoretical point of view on the basis of the simplified integral method. As long as the scattered electric field is negligible compared with the incident electric field, the angular dependence of the electric field scattered by undamped or by damped acoustic waves is given by the product of the Laplace transform of the complex amplitude of the acoustic waves and that of the incident light waves. In the case of light scattering by undamped acoustic waves, these Laplace transforms are reduced to the directivity functions. Some explicit results of the angular dependence of the scattered electric field are given for the convenience of practical uses. A comparison between the theory and experiments is done for a simple case.