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Proceedings Paper

A Monte Carlo approach for simulating the propagation of partially coherent x-ray beams
Author(s): A. Prodi; E. Knudsen; P. Willendrup; S. Schmitt; C. Ferrero; R. Feidenhans'l; Kim Lefmann
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Paper Abstract

Advances at SR sources in the generation of nanofocused beams with a high degree of transverse coherence call for effective techniques to simulate the propagation of partially coherent X-ray beams through complex optical systems in order to characterize how coherence properties such as the mutual coherence function (MCF) are propagated to the exit plane. Here we present an approach based on Monte Carlo sampling of the Green function. A Gauss-Shell Stochastic Source with arbitrary spatial coherence is synthesized by means of the Gaussian copula statistical tool. The Green function is obtained by sampling Huygens-Fresnel waves with Monte Carlo methods and is used to propagate each source realization to the detector plane. The sampling is implemented with a modified Monte Carlo ray tracing scheme where the optical path of each generated ray is stored. Such information is then used in the summation of the generated rays at the observation plane to account for coherence properties. This approach is used to simulate simple models of propagation in free space and with reflective and refractive optics.

Paper Details

Date Published: 23 September 2011
PDF: 8 pages
Proc. SPIE 8141, Advances in Computational Methods for X-Ray Optics II, 814108 (23 September 2011); doi: 10.1117/12.894520
Show Author Affiliations
A. Prodi, Univ. of Copenhagen (Denmark)
E. Knudsen, Risø DTU (Denmark)
P. Willendrup, Risø DTU (Denmark)
S. Schmitt, Risø DTU (Denmark)
C. Ferrero, European Synchrotron Radiation Facility (France)
R. Feidenhans'l, Univ. of Copenhagen (Denmark)
Kim Lefmann, Univ. of Copenhagen (Denmark)

Published in SPIE Proceedings Vol. 8141:
Advances in Computational Methods for X-Ray Optics II
Manuel Sanchez del Rio; Oleg Chubar, Editor(s)

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