Abstract
Sagittal focusing of a synchrotron radiation beam by cylindrically bending the second crystal in a double-crystal monochromator is an important way of increasing beam density at the sample posiion. In this paper we describe results obtained by finite element analysis of various optimized Si (111) crystal shapes. For the bending magnet and wiggler sources, we analyzed ribbed crystals and found conditions at which the sagittal curvature is cylindrical and the anticlastic effect is minimized. For the undulator A source, we found that a single slot in the center of a thick plate would be sufficient to eliminate the anticlastic effect and ensure cylindrical sagittal bending. Autofocusing of the beam by means of a trapezoidal slot was investigated, and simulation results are discussed.
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