Abstract
The influence of roughness on the propagation of an X-ray beam along a concave surface in the whispering gallery mode has been investigated. The transfer equation of beam intensity is derived and the conditions of concave surface smoothness necessary for effective beam rotation are obtained. It is shown that the influence of roughness on the beam rotation efficiency is not very strong: the roughness height should not exceed several nanometers. The point is that the scattered radiation is not lost but rotated by a concave surface and makes a significant contribution to the intensity of the output beam.
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