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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. 27, Iss. 5 — May. 1, 2010
  • pp: 1069–1078

Linearly damped modes at gap edges of photonic crystals

Daniel Maystre and Jean-Paul Hugonin  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1069-1078 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001069


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Abstract

It is shown that for one-dimensional dielectric photonic crystals, the Bloch modes, a vital tool in the analysis of these structures, cannot provide a complete representation of the electromagnetic field at the edges of bandgaps. On these points, the couple of Bloch modes representing the propagation on both sides of the crystal reduces to a single one, with a stationary field, and a complete representation of the field inside the crystal illuminated by a plane wave must include a linearly damped mode (LDM), the amplitude of which behaves linearly in space. The theory of transfer matrices and the use of basic properties of the field allow a precise description of the LDM from a few parameters. An extension to two-dimensional photonic crystals is proposed.

© 2010 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(310.6860) Thin films : Thin films, optical properties
(230.5298) Optical devices : Photonic crystals
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Physical Optics

History
Original Manuscript: November 9, 2009
Revised Manuscript: March 3, 2010
Manuscript Accepted: March 6, 2010
Published: April 15, 2010

Citation
Daniel Maystre and Jean-Paul Hugonin, "Linearly damped modes at gap edges of photonic crystals," J. Opt. Soc. Am. A 27, 1069-1078 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1069

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