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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. 15, Iss. 5 — May. 1, 1998
  • pp: 1423–1435

Localization of light in lossless inhomogeneous dielectrics

Alexander Figotin and Abel Klein  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1423-1435 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001423


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Abstract

The localization of electromagnetic waves in lossless inhomogeneous dielectric media is studied. We consider a three-dimensional lossless periodic medium (photonic crystal) having a gap in the frequency spectrum (photonic bandgap). If such a medium is perturbed by either a single defect or a random array of defects, exponentially localized electromagnetic waves arise with frequencies in the gap. For a single defect, we derive equations for these midgap frequencies and estimate their number. For a random medium, we show the occurrence of Anderson localization for electromagnetic waves.

© 1998 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.7420) Other areas of optics : Waves

History
Original Manuscript: September 3, 1997
Revised Manuscript: November 21, 1997
Manuscript Accepted: December 2, 1997
Published: May 1, 1998

Citation
Alexander Figotin and Abel Klein, "Localization of light in lossless inhomogeneous dielectrics," J. Opt. Soc. Am. A 15, 1423-1435 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1423

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