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Computer Optics, 2021, Volume 45, Issue 5, Pages 773–778
DOI: https://doi.org/10.18287/2412-6179-CO-877 (Mi co966) 		 
This article is cited in 1 scientific paper (total in 1 paper)

NUMERICAL METHODS AND DATA ANALYSIS

Comparison of numerical integration methods for calculating diffraction of a plane electromagnetic wave by a rectangular aperture

A. S. Mokeevab, V. M. Yamshchikovba

a Federal State Unitary Enterprise "Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics", Sarov, Nizhny Novgorod region
b The Institute of Laser Physics (ILFI), 607188, Sarov, Nizhny Novgorod region, Mira Ave, 37
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DOI: https://doi.org/10.18287/2412-6179-CO-877
URL: https://computeroptics.ru/KO/Annot/KO45-5/450517.html
Abstract: We discuss features of the calculation of a Fraunhofer integral by traditional quadrature numerical integration methods and a special collocation Levin method when calculating the diffraction of a plane electromagnetic wave by a rectangular aperture. For the quadrature numerical integration methods, a criterion for the assessment of the integration step is derived depending on the screen size and required calculation accuracy. Advantages of the use of the special collocation Levin method in comparison with the traditional quadrature numerical integration methods are shown.
Keywords: diffraction integral, integration of oscillatory functions, method of rectangles, trapezium method, Levin method, Fraunhofer diffraction
Received: 09.02.2021
Accepted: 21.04.2021
Document Type: Article
Language: Russian
Citation: A. S. Mokeev, V. M. Yamshchikov, “Comparison of numerical integration methods for calculating diffraction of a plane electromagnetic wave by a rectangular aperture”, Computer Optics, 45:5 (2021), 773–778
Citation in format AMSBIB
\Bibitem{MokYam21}
\by A.~S.~Mokeev, V.~M.~Yamshchikov
\paper Comparison of numerical integration methods for calculating diffraction of a plane electromagnetic wave by a rectangular aperture
\jour Computer Optics
\yr 2021
\vol 45
\issue 5
\pages 773--778
\mathnet{http://mi.mathnet.ru/co966}
\crossref{https://doi.org/10.18287/2412-6179-CO-877}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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