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The rapid development of new-generation synchrotron facilities with excellent coherence demands more accurate evaluation of beamline performance. A perturbation theory based on wave optics is proposed in this work to describe the effect of imperfections on the performance of x-ray optical elements. It shows that the perturbed performance of the non-ideal optical element could be derived from the perfect performance of the ideal optic through a convolution operation. The semi-analytical approach proposed here provides a new way to improve the simulation efficiency for imperfect optical elements. The finite aperture effect on diffraction-limited optics and focal shape distortion by surface height error are treated to show the application of the proposed method.
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Lingfei Hu, John P. Sutter, Hongchang Wang, Kawal Sawhney, "Perturbation perspective of partial coherence discussion on imperfect x-ray optical elements," Proc. SPIE 11493, Advances in Computational Methods for X-Ray Optics V, 114930D (21 August 2020); https://doi.org/10.1117/12.2567207