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Experimentally obtained and computer-simulated X-ray six-beam pinhole topographs based on the n-beam Takagi-Taupin (T-T) equation are reported for a channel-cut silicon crystal. It has been clarified that the algorithm to integrate the n-beam T-T equation can calculate the X-ray wavefield in a crystal of complex shape.

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A method of calculating the polarization state of X-rays transmitted through a rotating four-quadrant X-ray phase retarder system is described using Jones calculus.

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