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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. 11, Iss. 11 — Nov. 1, 1994
  • pp: 2816–2828

Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited

Lifeng Li  »View Author Affiliations


JOSA A, Vol. 11, Issue 11, pp. 2816-2828 (1994)
http://dx.doi.org/10.1364/JOSAA.11.002816


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Abstract

I report significant improvements to the differential method of Chandezon et al. [ J. Opt. Soc. Am. 72, 839– 846 ( 1982)]. The R-matrix propagation algorithm is used to remove completely the previously existing limitations on the total coating thickness and on the total number of coated layers. I analyze the symmetry properties of the eigenvalue problem that arises in the differential formalism and use them to speed up the numerical computation. The time needed for computing the eigensolutions of coated gratings in a conical mount is reduced to little more than what is needed for gratings in a classical mount. For gratings with dielectric coatings or gratings with symmetrical profiles the need to invert certain matrices appearing in the formalism is eliminated. Numerical results show that it is possible to make nearly 100% efficient surface-relief reflection gratings in a Littrow mount by the use of dielectric materials only.

© 1994 Optical Society of America

History
Original Manuscript: February 28, 1994
Revised Manuscript: May 2, 1994
Manuscript Accepted: May 16, 1994
Published: November 1, 1994

Citation
Lifeng Li, "Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited," J. Opt. Soc. Am. A 11, 2816-2828 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-11-2816

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