J. Appl. Cryst. (2008). 41, 237-248 [ doi:10.1107/S0021889808000617 ]
Abstract: Quantitative analysis of the focusing performance of bent Laue crystals is carried out using the rigorous wave-optical formalism. Via numerical solution of the Takagi equations and the Fresnel integral, the influence of diffraction on the formation of the image of an X-ray source is analysed. The results are compared with those obtained using a formalism based on the geometrical optics approximation and significant differences are found. A formula for the geometrical aberration of a cylindrically bent crystal is derived. The effect of the aberration on image formation is analysed.
Keywords: focusing performance; bent Laue crystals; wave-optical theory; geometrical aberrations.
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