Coordinate transformation formulation of electromagnetic scattering from imperfectly periodic surfaces.

Opt Express

Department of Information and Communication Engineering, Fukuoka Institute of Technology, 3-30-1 Wajirohigashi, Fukuoka 811-0295, Japan.

Published: April 2012

This paper considers the electromagnetic scattering problem of periodically corrugated surface with local imperfection of structural periodicity, and presents a formulation based on the coordinate transformation method (C-method). The C-method is originally developed to analyze the plane-wave scattering from perfectly periodic structures, and uses the pseudo-periodic property of the fields. The fields in imperfectly periodic structures are not pseudo-periodic and the C-method cannot be directly applied. This paper introduces the pseudo-periodic Fourier transform to convert the fields in imperfectly periodic structures to pseudo-periodic ones, and the C-method becomes then applicable.

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http://dx.doi.org/10.1364/OE.20.009978DOI Listing

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