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Computer Optics, 2016, Volume 40, Issue 2, Pages 194–202 (Mi co133)  

OPTO-IT

Modeling the reflection of the electromagnetic waves at a diffraction grating generated on a curved surface

S. I. Kharitonovab, N. L. Kazanskiyab, L. L. Doskolovichab, Yu. S. Strelkovab

a Samara State Aerospace University, Samara, Russia
b Image Processing Systems Institute, Russian Academy of Sciences, Samara, Russia

Abstract: This article describes mathematical tools that allow one to simulate the reflection at diffraction gratings generated on an arbitrary surface. To solve this problem an analog of the Kirchhoff method was used. As an example, we considered reflection at a grating generated on a spherical surface. For modelling such systems we developed a program that allowed us to carry out a numerical experiment. We discussed a possibility of generalization of the results onto arbitrary diffractive optical elements.

Keywords: diffraction, reflection, Kirchhoff’s integral, Kirchhoff’s integral theorem, diffraction grating.

Funding Agency Grant Number
Russian Science Foundation 14-31-00014
The work was supported by the Russian Foundation for Humanities grant 14-31-00014.


DOI: https://doi.org/10.18287/2412-6179-2016-40-2-194-202

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Full text: http://www.computeroptics.smr.ru/.../400210.html
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Received: 02.02.2016
Revised: 13.04.2016

Citation: S. I. Kharitonov, N. L. Kazanskiy, L. L. Doskolovich, Yu. S. Strelkov, “Modeling the reflection of the electromagnetic waves at a diffraction grating generated on a curved surface”, Computer Optics, 40:2 (2016), 194–202

Citation in format AMSBIB
\Bibitem{KhaKazDos16}
\by S.~I.~Kharitonov, N.~L.~Kazanskiy, L.~L.~Doskolovich, Yu.~S.~Strelkov
\paper Modeling the reflection of the electromagnetic waves at a diffraction grating generated on a curved surface
\jour Computer Optics
\yr 2016
\vol 40
\issue 2
\pages 194--202
\mathnet{http://mi.mathnet.ru/co133}
\crossref{https://doi.org/10.18287/2412-6179-2016-40-2-194-202}


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