This paper discusses the scattering of two coherent light beams by a fixed obstacle. The explicit form of the generalized optical theorem for this scattering is also included. Two different methods are used to determine the amplitudes as well as phases of the scattering-matrix elements. In the first method, the extinction cross section is measured and the matrix elements are determined by use of the generalized optical theorem. The second method consists of direct measurements of the conventional and coherent differential cross sections. Because the scattering of two coherent light beams is not well known, we show some interesting examples. In one case, the extinction cross section is zero; in another case, the extinction cross section is four times the geometrical cross section of the obstacle.
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