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Proceedings Paper

Analytical solutions of 2D grating diffraction: GSM versus Rayleigh hypothesis
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Paper Abstract

The complete analytical solution of the diffraction problem of an arbitrary incident wave by a 2D grating of arbitrary k-vectors is provided under the Rayleigh hypothesis. It is furthermore shown by deriving an analytical solution from the exact Generalized Source Method (GSM) in the limit of small grating amplitude that the Rayleigh and the exact methods lead to the same analytical results. This proves that the results given by the Rayleigh method in the limit of shallow grooves are exact whatever the groove profile.

Paper Details

Date Published: 18 February 2004
PDF: 12 pages
Proc. SPIE 5249, Optical Design and Engineering, (18 February 2004); doi: 10.1117/12.513688
Show Author Affiliations
Alexandre V. Tishchenko, LTSI, CNRS-Univ. Jean Monnet Saint-Etienne (France)


Published in SPIE Proceedings Vol. 5249:
Optical Design and Engineering
Laurent Mazuray; Philip J. Rogers; Rolf Wartmann, Editor(s)

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