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Proceedings Paper

Rigorous analysis and plane decomposition approximation for 2-D & 3-D diffraction problems of relief gratings
Author(s): Leonid I. Goray
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Paper Abstract

2-D diffraction problems of the filiform source electromagnetic field scattered by plane periodic structure and of plane wave scattered by cylindrical grating surface have been investigated. Unlike the case of the problem for the plane wave field diffraction by plane grating, the field of a localized source does not satisfy the periodicity requirement. In order to reduce the solution of the problem of localized source field diffraction by the grating in the whole region to the solution of the problem of diffraction inside one Floquet channel, the Fourier transformation have been used. Taking into consideration the periodicity of the geometry structure, the problem of Floquet terms for the image can be formulated so that it enables applying the modified integral method developed for the problems of plane wave diffraction by the periodic structure. Integral characteristics of radiation are expressed in terms using namely the image of desired solution. Account of the local structure of an incident field enables one both to predict the corresponding efficiencies and to specify the bounds within which the approximation of incident field with the plane wave field is correct. For the 2-D diffraction problem of the cylindrical grating irradiated by plane waves, the decomposition in set of plane gratings has been considered. The application of such decomposition, including dependence on number of plane sections and radius of cylindrical surface, is described. The influence of cylindrical form on the rigorous solution and the validation of using plane waves and of decompositions in plane sections for 2-D or 3-D diffraction problems are discussed. Several numerical examples are included.

Paper Details

Date Published:
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Proc. SPIE 5184, Physics, Theory, and Applications of Periodic Structures in Optics II, ; doi: 10.1117/12.505698
Show Author Affiliations
Leonid I. Goray, International Intellectual Group, Inc. (United States)


Published in SPIE Proceedings Vol. 5184:
Physics, Theory, and Applications of Periodic Structures in Optics II
Philippe Lalanne, Editor(s)

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