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Title: X-ray optics simulation using Gaussian superposition technique

Abstract

We present an efficient method to perform x-ray optics simulation with high or partially coherent x-ray sources using Gaussian superposition technique. In a previous paper, we have demonstrated that full characterization of optical systems, diffractive and geometric, is possible by using the Fresnel Gaussian Shape Invariant (FGSI) previously reported in the literature. The complex amplitude distribution in the object plane is represented by a linear superposition of complex Gaussians wavelets and then propagated through the optical system by means of the referred Gaussian invariant. This allows ray tracing through the optical system and at the same time allows calculating with high precision the complex wave-amplitude distribution at any plane of observation. This technique can be applied in a wide spectral range where the Fresnel diffraction integral applies including visible, x-rays, acoustic waves, etc. We describe the technique and include some computer simulations as illustrative examples for x-ray optical component. We show also that this method can be used to study partial or total coherence illumination problem.

Authors:
; ;
Publication Date:
Research Org.:
BROOKHAVEN NATIONAL LABORATORY (BNL)
Sponsoring Org.:
DOE - OFFICE OF SCIENCE
OSTI Identifier:
1034086
Report Number(s):
BNL-96574-2011-JA
Journal ID: ISSN 1094-4087; 39KC02000; TRN: US201203%%386
DOE Contract Number:  
DE-AC02-98CH10886
Resource Type:
Journal Article
Journal Name:
Optics Express
Additional Journal Information:
Journal Volume: 19; Journal Issue: 20; Journal ID: ISSN 1094-4087
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION; ACCURACY; ACOUSTICS; AMPLITUDES; COMPUTERIZED SIMULATION; DIFFRACTION; DISTRIBUTION; ILLUMINANCE; OPTICAL SYSTEMS; OPTICS; SHAPE; SIMULATION; X-RAY SOURCES

Citation Formats

Idir, M., Cywiak, M., and Morales, A. and Modi, M.H. X-ray optics simulation using Gaussian superposition technique. United States: N. p., 2011. Web. doi:10.1364/OE.19.019050.
Idir, M., Cywiak, M., & Morales, A. and Modi, M.H. X-ray optics simulation using Gaussian superposition technique. United States. doi:10.1364/OE.19.019050.
Idir, M., Cywiak, M., and Morales, A. and Modi, M.H. Thu . "X-ray optics simulation using Gaussian superposition technique". United States. doi:10.1364/OE.19.019050.
@article{osti_1034086,
title = {X-ray optics simulation using Gaussian superposition technique},
author = {Idir, M. and Cywiak, M. and Morales, A. and Modi, M.H.},
abstractNote = {We present an efficient method to perform x-ray optics simulation with high or partially coherent x-ray sources using Gaussian superposition technique. In a previous paper, we have demonstrated that full characterization of optical systems, diffractive and geometric, is possible by using the Fresnel Gaussian Shape Invariant (FGSI) previously reported in the literature. The complex amplitude distribution in the object plane is represented by a linear superposition of complex Gaussians wavelets and then propagated through the optical system by means of the referred Gaussian invariant. This allows ray tracing through the optical system and at the same time allows calculating with high precision the complex wave-amplitude distribution at any plane of observation. This technique can be applied in a wide spectral range where the Fresnel diffraction integral applies including visible, x-rays, acoustic waves, etc. We describe the technique and include some computer simulations as illustrative examples for x-ray optical component. We show also that this method can be used to study partial or total coherence illumination problem.},
doi = {10.1364/OE.19.019050},
journal = {Optics Express},
issn = {1094-4087},
number = 20,
volume = 19,
place = {United States},
year = {2011},
month = {9}
}