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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 3 — Mar. 1, 1999
  • pp: 508–516

Generalization of the coordinate transformation method with application to surface-relief gratings

J. P. Plumey and G. Granet  »View Author Affiliations


JOSA A, Vol. 16, Issue 3, pp. 508-516 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000508


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Abstract

The coordinate-transformation-based differential method, initially used by Chandezon et al. for modeling surface-relief gratings, is now known as a powerful rigorous formalism for solving diffraction problems. We explain a coordinate transformation that generalizes the original one, and we extend the formulation to a wide class of monodimensional surface shapes. The boundary-value problem turns on the same eigenvalue problem for the TE and TM polarizations.

© 1999 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory

History
Original Manuscript: August 3, 1998
Revised Manuscript: November 3, 1998
Manuscript Accepted: October 6, 1998
Published: March 1, 1999

Citation
J. P. Plumey and G. Granet, "Generalization of the coordinate transformation method with application to surface-relief gratings," J. Opt. Soc. Am. A 16, 508-516 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-3-508

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