## A Monte Carlo approach for simulating the propagation of partially coherent x-ray beams

Publication: Research - peer-review › Conference article – Annual report year: 2011

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**A Monte Carlo approach for simulating the propagation of partially coherent x-ray beams.** / Prodi, A.; Bergbäck Knudsen, Erik; Willendrup, Peter Kjær; Schmidt, Søren; Ferrero, C.; Feidenhans'l, Robert; Lefmann, Kim.

Publication: Research - peer-review › Conference article – Annual report year: 2011

### Harvard

*Proceedings of SPIE--the international society for optical engineering*, vol 8141, no. 1, pp. 814108., 10.1117/12.894520

### APA

*Proceedings of SPIE--the international society for optical engineering*,

*8141*(1), 814108. 10.1117/12.894520

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*Proceedings of SPIE--the international society for optical engineering*. 2011, 8141(1). 814108. Available: 10.1117/12.894520

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TY - CONF

T1 - A Monte Carlo approach for simulating the propagation of partially coherent x-ray beams

AU - Prodi,A.

AU - Bergbäck Knudsen,Erik

AU - Willendrup,Peter Kjær

AU - Schmidt,Søren

AU - Ferrero,C.

AU - Feidenhans'l,Robert

AU - Lefmann,Kim

PY - 2011

Y1 - 2011

N2 - 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. © 2011 COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.

AB - 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. © 2011 COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.

KW - Materials characterization and modelling

KW - Materialekarakterisering og modellering

U2 - 10.1117/12.894520

DO - 10.1117/12.894520

M3 - Conference article

VL - 8141

SP - 814108

JO - Progress in Biomedical Optics and Imaging

T2 - Progress in Biomedical Optics and Imaging

JF - Progress in Biomedical Optics and Imaging

SN - 1605-7422

IS - 1

ER -