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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 9 — Apr. 23, 2012
  • pp: 9978–9990

Coordinate transformation formulation of electromagnetic scattering from imperfectly periodic surfaces

Koki Watanabe, Jaromír Pištora, and Yoshimasa Nakatake  »View Author Affiliations


Optics Express, Vol. 20, Issue 9, pp. 9978-9990 (2012)
http://dx.doi.org/10.1364/OE.20.009978


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Abstract

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.

© 2012 OSA

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 3, 2012
Revised Manuscript: March 8, 2012
Manuscript Accepted: March 8, 2012
Published: April 17, 2012

Citation
Koki Watanabe, Jaromír Pištora, and Yoshimasa Nakatake, "Coordinate transformation formulation of electromagnetic scattering from imperfectly periodic surfaces," Opt. Express 20, 9978-9990 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-9-9978


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