S.I. Kharitonov, N.L. Kazanskiy, L.L. Doskolovich, Y.S. Strelkov

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.

References:

- Mouroulis P, Wilson DW, Maker PD, Muller RE. Convex grating types for concentric imaging spectrometers. Applied Optics 1998; 37(31): 7200-7208.
- Zagrubsky AA, Tsyganenko NM, Chernoff AP. Spectral Instruments [In Russian]. Saint Petersburg: Saint Petersburg State University Publisher; 2007.
- Hutley MC. Diffraction Gratings. New York: Academic Press Inc; 1982.
- Born M, Wolf E. Principles of optics. Oxford: Pergamon press; 1968.
- Christopher P, Loewen E. Diffraction grating handbook. New.York: Newport Corporation; 2005.
- Sommerfeld A. Optics. Academic Press; 1950.
- Bell RJ. Introductory Fourier transform spectroscopy. NewYork: Academic Press Inc; 1972.

© 2009,Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; e-mail: ko@smr.ru; Phones: +7 (846 2) 332-56-22, Fax: +7 (846 2) 332-56-20IPSI RAS