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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. 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)
http://dx.doi.org/10.1364/JOSAA.14.000610


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Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-3-610


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References

  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]
  3. J. Chandezon, G. Cornet, “Application d’une nouvelle méthode de résolution des équations de Maxwell à l'étude de la propagation des ondes électromagnétiques dans les guides périodiques,” Ann. Telecommun. 36(5–6), 305–314 (1981).
  4. J. Chandezon, M. T. Dupuis, G. Cornet, D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982). [CrossRef]
  5. E. Popov, L. Mashev, “Conical diffraction mounting. Generalization of a rigorous differential method,” J. Opt. (Paris), 17, 175–180 (1986).
  6. E. J. Post, Formal Structure of Electromagnetics (North-Holland, Amsterdam, 1962).
  7. L. Li, “Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited,” J. Opt. Soc. Am. A 11, 2816–2828 (1994). [CrossRef]
  8. T. W. Preist, N. P. K. Cotter, J. R. Sambles, “Periodic multilayer gratings of arbitrary shape,” J. Opt. Soc. Am. A 12, 1740–1748 (1995). [CrossRef]
  9. G. Granet, J. P. Plumey, J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995). [CrossRef]
  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]
  12. G. Granet, B. Guizal, “Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization,” J. Opt. Soc. Am. A 13, 1019–1023 (1996). [CrossRef]
  13. L. Li, C. W. Haggans, “Convergence of the coupled-wave method for metallic lamellar diffraction gratings,” J. Opt. Soc. Am. A 10, 1184–1189 (1993). [CrossRef]

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