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Figure 2
The local incident angle on the curved sample for a (a) convex (R < 0) and (b) concave (R > 0) sample. Red arrows indicate selected rays of the incoming beam. It was assumed that the footprint of the beam in its propagation direction is larger than the sample length (ξx > L). The dashed black line symbolizes the flat sample. The positions on the surface of the curved sample are parametrized with a curvilinear coordinate X with the origin marked by X0. The local incident angle αi is defined with respect to the tangent at a given point X (blue colour). δ is the angle between the radii drawn to the origin (X0) and to the considered point X. For sufficiently high curvatures and small nominal incident angles there is a shadow, marked by thick grey lines in the schemas (for details see text).

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