Modeling the reflection of the electromagnetic waves at a diffraction grating generated on a curved surface
S.I. Kharitonov, N.L. Kazanskiy, L.L. Doskolovich, Y.S. Strelkov

 

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

Full text of article: Russian language.

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.

Citation:
Kharitonov SI, Kazanskiy NL, Doskolovich LL, Strelkov YS. Modeling the reflection of the electromagnetic waves at a diffraction grating generated on a curved surface. Computer Optics. 2016;  40(2): 194-202. DOI: 10.18287/2412-6179-2016-40-2-194-202.

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