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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 14, Iss. 3 — Mar. 1, 1997
  • pp: 610–617

Coordinate transformation method as applied to asymmetric gratings with vertical facets

J. P. Plumey, B. Guizal, and J. Chandezon  »View Author Affiliations

JOSA A, Vol. 14, Issue 3, pp. 610-617 (1997)

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The differential formalism introduced by J. Chandezon during the seventies has been successfully applied to the study of waveguides and to diffraction problems. Until now it was believed that the method could be applied only if the interfaces between media were described by graphs of functions. We show that an eigenoperator formulation of the method allows one to solve a larger set of profiles. This theoretical result is applied to gratings having a vertical facet.

© 1997 Optical Society of America

Original Manuscript: July 3, 1996
Revised Manuscript: September 25, 1996
Manuscript Accepted: September 25, 1996
Published: March 1, 1997

J. P. Plumey, B. Guizal, and J. Chandezon, "Coordinate transformation method as applied to asymmetric gratings with vertical facets," J. Opt. Soc. Am. A 14, 610-617 (1997)

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  1. R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980).
  2. R. Dusséaux, C. Faure, J. Chandezon, F. Molinet, “New perturbation theory of diffraction gratings and its application to the study of ghosts,” J. Opt. Soc. Am. A 72, 1271–1282 (1995). [CrossRef]
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  10. G. Granet, “Analysis of diffraction by crossed gratings using a non-orthogonal coordinate system,” Pure Appl. Opt. 4, 777–793 (1995). [CrossRef]
  11. J. P. Plumey, G. Granet, J. Chandezon, “Differential covariant formalism for solving Maxwell’s equations in curvilinear coordinates: oblique scattering from lossy periodic surfaces,” IEEE Trans. Antennas Propag. 43, 835–842 (1995). [CrossRef]
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