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Journal of Applied Physics / Volume 99 / Issue 6 / LASERS, OPTICS, AND OPTOELECTRONICS

J. Appl. Phys. 99, 063104 (2006); http://dx.doi.org/10.1063/1.2186385 (6 pages)

Analytical and numerical calculations of the dispersion characteristics of two-dimensional dielectric photonic band gap structures

Ksenia Samokhvalova1, Chiping Chen1, and Bao-Liang Qian2

1Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
2College of Optoelectric Science and Engineering, National University of Defence Technology, Changsha, Hunan 410073, People’s Republic of China

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(Received 16 June 2005; accepted 10 February 2006; published online 30 March 2006)

An exact analytical dispersion relation is derived for transverse-magnetic modes with kz = 0 in a particular two-dimensional rectangular photonic band gap structure. The dispersion relation is analyzed, and the dispersion characteristics are determined. Analytical results are compared with results from the Massachusetts Institute of Technology Photonic Band Gap Structure Simulator (PBGSS) code. The error tolerance in the PBGSS code is established. Finally, the attenuations of modes with frequencies in global band gaps are computed analytically.

© 2006 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. EXACT ANALYTICAL DISPERSION RELATION
  3. DISPERSION CHARACTERISTICS
  4. COMPARISON WITH PBGSS SIMULATIONS
  5. ATTENUATION OF TM MODES
  6. CONCLUSIONS

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KEYWORDS and PACS

Keywords

photonic band gap, dispersion relations, photonic crystals, optical dispersion

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2186385

PUBLICATION DATA

ISSN

0021-8979 (print)  
1089-7550 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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