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Asymptotic methods for solving the problems of diffraction on DOE
L.L. Doskolovich1,2, N.L. Kazanskiy1,2, M.A. Moiseev1,2, S.I. Kharitonov1,2

1Image Processing Systems Institute оf the RAS,
2Samara State Aerospace University (SSAU)

 PDF, 178 kB

Pages: 49-52.

Full text of article: Russian language.

The study presents a new asymptotic method for solving the problem of diffraction on diffractive optical elements with band structure. The method includes a rigorous solution of the diffraction task on a periodic structure with a period comparable to the wavelength, and a geometrical optical approach. The solution of the diffraction task was developed on a reference quasi-periodic structure combining the functions of a diffraction grating and a diffraction lens. Based on the solution of the reference task, a simple approximation is developed for the field immediately behind the diffraction element.

field near the microrelief, Helmholtz equation, integro-differential equation, reference structure of DOE, generalization of the reference solution, geometrical optical approach.

Doskolovich LL, Kazanskiy NL, Moiseev MA, Kharitonov SI. Asymptotic methods for solving the problems of diffraction on DOE. Computer Optics 2006; 30: 49-52.

This work was supported by the RFBR grant 04-01-96517, the grant CRDF RUE1-005064-SA-05, as well as the support of the Russian-American program “Basic Research and Higher Education” (“BRHE”) and the grant INTAS 04-77-7198.


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