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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:
; ORCiD logo
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1564545
Alternate Identifier(s):
OSTI ID: 1572354
Report Number(s):
BNL-212269-2019-JAAM
Journal ID: ISSN 1094-4087; OPEXFF
Grant/Contract Number:  
SC0011237; SC0012704; FWP PS-017
Resource Type:
Published Article
Journal Name:
Optics Express
Additional Journal Information:
Journal Name: Optics Express Journal Volume: 27 Journal Issue: 20; Journal ID: ISSN 1094-4087
Publisher:
Optical Society of America
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. doi: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. doi: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
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DOI: 10.1364/OE.27.028750

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