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Photonic band structure and defects in one and two dimensions

Publication ,  Journal Article
Smith, DR; Dalichaouch, R; Kroll, N; Schultz, S; Mc Call, SL; Platzman, PM
Published in: Journal of the Optical Society of America B: Optical Physics
January 1, 1993

We present an experimental and numerical study of electromagnetic wave propagation in one-dimensional (D) and two-dimensional (2D) systems composed of periodic arrays of dielectric scatterers. We demonstrate that there are regions of frequency for which the waves are exponentially attenuated for all propagation directions. These regions correspond to band gaps in the calculated band structure, and such systems are termed photonic band-gap (PBG) structures. Removal of a single scatterer from a PBG structure produces a highly localized defect mode, for which the energy density decays exponentially away from the defect origin. Energy-density measurements of defect modes are presented. The experiments were conducted at 6-20 GHz, but we suggest that they may be scaled to infrared frequencies. Analytic and numerical solutions for the band structure and the defect states in D structures are derived. Applications of 2D PBG structures are briefly discussed. © 1993 Optical Society of America.

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Published In

Journal of the Optical Society of America B: Optical Physics

DOI

ISSN

0740-3224

Publication Date

January 1, 1993

Volume

10

Issue

2

Start / End Page

314 / 321

Related Subject Headings

  • Optics
  • 5108 Quantum physics
  • 5102 Atomic, molecular and optical physics
  • 4008 Electrical engineering
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
  • 0102 Applied Mathematics
 

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Smith, D. R., Dalichaouch, R., Kroll, N., Schultz, S., Mc Call, S. L., & Platzman, P. M. (1993). Photonic band structure and defects in one and two dimensions. Journal of the Optical Society of America B: Optical Physics, 10(2), 314–321. https://doi.org/10.1364/JOSAB.10.000314
Smith, D. R., R. Dalichaouch, N. Kroll, S. Schultz, S. L. Mc Call, and P. M. Platzman. “Photonic band structure and defects in one and two dimensions.” Journal of the Optical Society of America B: Optical Physics 10, no. 2 (January 1, 1993): 314–21. https://doi.org/10.1364/JOSAB.10.000314.
Smith DR, Dalichaouch R, Kroll N, Schultz S, Mc Call SL, Platzman PM. Photonic band structure and defects in one and two dimensions. Journal of the Optical Society of America B: Optical Physics. 1993 Jan 1;10(2):314–21.
Smith, D. R., et al. “Photonic band structure and defects in one and two dimensions.” Journal of the Optical Society of America B: Optical Physics, vol. 10, no. 2, Jan. 1993, pp. 314–21. Scopus, doi:10.1364/JOSAB.10.000314.
Smith DR, Dalichaouch R, Kroll N, Schultz S, Mc Call SL, Platzman PM. Photonic band structure and defects in one and two dimensions. Journal of the Optical Society of America B: Optical Physics. 1993 Jan 1;10(2):314–321.
Journal cover image

Published In

Journal of the Optical Society of America B: Optical Physics

DOI

ISSN

0740-3224

Publication Date

January 1, 1993

Volume

10

Issue

2

Start / End Page

314 / 321

Related Subject Headings

  • Optics
  • 5108 Quantum physics
  • 5102 Atomic, molecular and optical physics
  • 4008 Electrical engineering
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
  • 0102 Applied Mathematics