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Figure 3
(a) The coordinate transformations between the sample coordinate system and the coordinate systems of the reference cross section (1) of the source arm (situated immediately before the sample) and the cross section (2) of the detector arm situated immediately after the sample. Transformations (3) and (4) are described by matrices Qsample, in and Qout, sample, respectively. S is the X-ray source, D is the detector. (b) Scheme for calculation of the detector area irradiated by rays with fixed direction (eout y, eout z). Regions of nonzero transmission function values of all coordinate-limiting elements of the source and the detector arms are projected onto reference cross sections (1) and (2), respectively. Then the regions of nonzero values of the transmission function for the source arm Sin and the sample Ssample are projected onto the detector reference cross section. The irradiated region of the detector is formed by the intersection of the two projected regions and the region of nonzero transmission function values for the detector arm Sout.

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