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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

  • Editor: Franco Gori
  • Vol. 29, Iss. 8 — Aug. 1, 2012
  • pp: 1659–1666

Analytical study of resonance conditions in planar resonators

Philippe Boyer and Daniel Van Labeke  »View Author Affiliations


JOSA A, Vol. 29, Issue 8, pp. 1659-1666 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001659


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Abstract

We propose a study of a generalized Airy-like formula of the transmittance through planar resonators. A complete and analytical analysis of total transmission conditions is given according to physical parameters. The homogeneous problem related to free oscillations of resonators, which leads to complex resonance frequencies and quality factors, is also resolved. After a quick validation on well-known parallel-plate dielectric layers behaving as Fabry–Perot resonators, our discussion is applied on subwavelength metallic lamellar gratings from an analytical modal theory assuming perfectly electric conductors.

© 2012 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Physical Optics

History
Original Manuscript: April 9, 2012
Revised Manuscript: June 13, 2012
Manuscript Accepted: June 20, 2012
Published: July 24, 2012

Citation
Philippe Boyer and Daniel Van Labeke, "Analytical study of resonance conditions in planar resonators," J. Opt. Soc. Am. A 29, 1659-1666 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-8-1659


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