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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 31 — Nov. 1, 2011
  • pp: G91–G97

Disorder effect in the transmission spectra of a noncompact single layer of dielectric spheres derived from microwave spectroscopy

Angel Andueza, Tom Smet, Paola Morales, and Joaquín Sevilla  »View Author Affiliations

Applied Optics, Vol. 50, Issue 31, pp. G91-G97 (2011)

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Single layers of dielectric spheres are an interesting system to study from the fundamental and applied points of view. In this paper we present a systematic study of the influence of structural disorder on the transmission spectra of arrangements of spheres of different compactness. Glass sphere ( ε = 7 ) planes were built and their transmission spectra in the microwave range measured. Transmission behavior of this system is highly tolerant to disorder. Even in completely disordered arrangements, there is a highly rejected band with the dips of the spectrum observable. These results suggest that the collective modes of the sphere planes are formed by weakly coupled Mie modes of the individual spheres, and this coupling is governed by the average distance among the spheres. Disorder tolerance allows simpler fabrication procedures where the position of the spheres does not need to be precisely controlled.

© 2011 Optical Society of America

OCIS Codes
(260.5740) Physical optics : Resonance
(300.6370) Spectroscopy : Spectroscopy, microwave
(160.5298) Materials : Photonic crystals

Original Manuscript: July 5, 2011
Revised Manuscript: September 19, 2011
Manuscript Accepted: October 3, 2011
Published: October 20, 2011

Angel Andueza, Tom Smet, Paola Morales, and Joaquín Sevilla, "Disorder effect in the transmission spectra of a noncompact single layer of dielectric spheres derived from microwave spectroscopy," Appl. Opt. 50, G91-G97 (2011)

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