DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Memory and CPU efficient computation of the Fresnel free-space propagator in Fourier optics simulations

Abstract

We describe a version of the paraxial free-space Fourier optics propagator for numerical wave propagation simulations that eliminates the need for a dense sampling of an input electric field with phase dominated by quadratic terms developing at some distance from the source or from the radiation beam waist. This propagator requires considerably (two to three orders of magnitude as observed in routine simulations) less memory and CPU resources than the standard Fresnel free-space propagator while preserving its levels of accuracy and generality. Here, this method has been successfully used in “Synchrotron Radiation Workshop” code for more than a decade. It has greatly contributed to the applicability of the code, and more generally the applicability of the Fourier optics methods, to wave-optics based simulations of radiation propagation through optical systems of beamlines at high-brightness and high-coherence synchrotron light sources.

Authors:
 [1]; ORCiD logo [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. European Synchrotron Radiation Facility, Grenoble (France)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1564545
Alternate Identifier(s):
OSTI ID: 1572354
Report Number(s):
BNL-212269-2019-JAAM
Journal ID: ISSN 1094-4087; OPEXFF; TRN: US2100008
Grant/Contract Number:  
SC0012704; SC0011237; FWP PS-017
Resource Type:
Published Article
Journal Name:
Optics Express
Additional Journal Information:
Journal Volume: 27; Journal Issue: 20; Journal ID: ISSN 1094-4087
Publisher:
Optical Society of America (OSA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Chubar, Oleg, and Celestre, Rafael. Memory and CPU efficient computation of the Fresnel free-space propagator in Fourier optics simulations. United States: N. p., 2019. Web. doi:10.1364/OE.27.028750.
Chubar, Oleg, & Celestre, Rafael. Memory and CPU efficient computation of the Fresnel free-space propagator in Fourier optics simulations. United States. https://doi.org/10.1364/OE.27.028750
Chubar, Oleg, and Celestre, Rafael. Mon . "Memory and CPU efficient computation of the Fresnel free-space propagator in Fourier optics simulations". United States. https://doi.org/10.1364/OE.27.028750.
@article{osti_1564545,
title = {Memory and CPU efficient computation of the Fresnel free-space propagator in Fourier optics simulations},
author = {Chubar, Oleg and Celestre, Rafael},
abstractNote = {We describe a version of the paraxial free-space Fourier optics propagator for numerical wave propagation simulations that eliminates the need for a dense sampling of an input electric field with phase dominated by quadratic terms developing at some distance from the source or from the radiation beam waist. This propagator requires considerably (two to three orders of magnitude as observed in routine simulations) less memory and CPU resources than the standard Fresnel free-space propagator while preserving its levels of accuracy and generality. Here, this method has been successfully used in “Synchrotron Radiation Workshop” code for more than a decade. It has greatly contributed to the applicability of the code, and more generally the applicability of the Fourier optics methods, to wave-optics based simulations of radiation propagation through optical systems of beamlines at high-brightness and high-coherence synchrotron light sources.},
doi = {10.1364/OE.27.028750},
journal = {Optics Express},
number = 20,
volume = 27,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1364/OE.27.028750

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Wave-front propagation: design code for synchrotron radiation beam lines
journal, January 1997


Simulation and Optimization of Synchrotron Infrared Micro-Spectroscopic Beamlines using Wave Optics Computation: ESRF and SOLEIL’s Cases
conference, January 2007

  • Chubar, O.; Susini, J.; Cotte, M.
  • SYNCHROTRON RADIATION INSTRUMENTATION: Ninth International Conference on Synchrotron Radiation Instrumentation, AIP Conference Proceedings
  • DOI: 10.1063/1.2436134

A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation
journal, May 2014

  • Shi, Xianbo; Reininger, Ruben; Sanchez del Rio, Manuel
  • Journal of Synchrotron Radiation, Vol. 21, Issue 4
  • DOI: 10.1107/S160057751400650X

Development of partially-coherent wavefront propagation simulation methods for 3rd and 4th generation synchrotron radiation sources
conference, September 2011

  • Chubar, Oleg; Berman, Lonny; Chu, Yong S.
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.892812

Front Matter: Volume 9209
conference, October 2014

  • Spie, Proceedings of
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.2084756

Application of partially coherent wavefront propagation calculations for design of coherence-preserving synchrotron radiation beamlines
journal, September 2011

  • Chubar, Oleg; Chu, Yong S.; Kaznatcheev, Konstantine
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 649, Issue 1
  • DOI: 10.1016/j.nima.2010.11.134

Validity of the Fresnel approximation in the near field
journal, January 1981


Precise computation of electron‐beam radiation in nonuniform magnetic fields as a tool for beam diagnostics
journal, February 1995

  • Chubar, O. V.
  • Review of Scientific Instruments, Vol. 66, Issue 2
  • DOI: 10.1063/1.1145810

Time-dependent FEL wavefront propagation calculations: Fourier optics approach
journal, August 2008

  • Chubar, Oleg; Couprie, Marie-Emmanuelle; Labat, Marie
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 593, Issue 1-2
  • DOI: 10.1016/j.nima.2008.04.058

Numerical calculation of the Fresnel transform
journal, January 2014


Numerical solution of nonparaxial scalar diffraction integrals for focused fields
journal, January 2014

  • Hillenbrand, Matthias; Kelly, Damien P.; Sinzinger, Stefan
  • Journal of the Optical Society of America A, Vol. 31, Issue 8
  • DOI: 10.1364/JOSAA.31.001832

Synchrotron infrared microscopy at the French Synchrotron Facility SOLEIL
journal, September 2006


Validity of the Fresnel approximation in the diffraction of collimated beams
journal, January 1996


Sirepo : an open-source cloud-based software interface for X-ray source and optics simulations
journal, October 2018

  • Rakitin, Maksim S.; Moeller, Paul; Nagler, Robert
  • Journal of Synchrotron Radiation, Vol. 25, Issue 6
  • DOI: 10.1107/S1600577518010986