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Figure 5
Six ray-tracing simulations performed by SHADOW3 on the cases displayed in Fig. 4[link], except for a slight modification in (e) and (f) to accommodate the limited precision given by SHADOW3 to the index of refraction. The values of [\delta] = [n^{\prime}/n-1] are shown on each diagram. In all simulations, q1 is 23.0929 m and q2 is 8.6912 m as in Fig. 4[link]. All of the rays originate from a Gaussian source of 1 µm r.m.s. height and width. They are caused by an ideal primary focusing element to converge to the initial focus x = 0, y = - q1. The refractive surface given by the X-ray approximation in each case is calculated on a 501 × 501 mesh of points over an aperture 0.07425 mm × 0.07425 mm. The SHADOW3 utility PRESURFACE is used to determine a spline function over this mesh. The resulting spline is then added to a refractive plane surface, which thus causes the rays from the primary focusing element to converge onto the final focal point x = 0, y = - q2. Units of distance are centimetres. See text for further details.

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
Volume 24| Part 6| November 2017| Pages 1120-1136
https://doi.org/10.1107/S1600577517011808
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