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Asymptotic solutions of the Helmholtz equation for pseudoperiodic structures

L.L. Doskolovich 1, 2, S.I. Kharitonov 1, 2, N.L. Kazanskiy 1, 2, E.A. Tulupova 2, S.A. Skuratov 2
1Samara State Aerospace University (SSAU)
2Image Processing Systems Institute of RAS

 PDF, 119 kB

Pages: 50-55.

Full text of article: Russian language.

Abstract:
This work is devoted to solving the scalar wave equation for the case when the size of the region is several hundred wavelengths. An asymptotic method is developed for solving the problem of diffraction of an arbitrary scalar wave on a three-dimensional layer with a pseudo-periodic band structure.

Keywords:
Helmholtz equation, pseudoperiodic structure, scalar wave equation, pseudo-periodic band structure.

Citation:
Doskolovich LL, Kharitonov SI, Kazanskiy NL, Tulupova EA, Skuratov SA.Asymptotic solutions of the Helmholtz equation for pseudoperiodic structures. Computer Optics 2005; 27: 50-55.

Acknowledgements:
This work was supported by the Russian – American program “Basic Research and Higher Education” (“BRHE”), as well as grants of the Russian Federal Property Fund No. 03-01-00109, 04-07-90149, and 04-01-96517.

References:
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