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Optics and Spectroscopy

, Volume 91, Issue 1, pp 109–118 | Cite as

Bandgap structure of optical Fibonacci lattices after light diffraction

  • M. A. Kaliteevski
  • V. V. Nikolaev
  • R. A. Abram
  • S. Brand
Physical and Quantum Optics

Abstract

The modification of the bandgap structure of optical Fibonacci lattices that arises from an increase in the system size is analyzed. It is found that there is a minimum critical size of the Fibonacci lattice necessary to form a photonic bandgap. The analysis of localized photonic modes of Fibonacci lattices shows that the removal of two layers of a lattice makes the lattice mirror-symmetric. The “method of oblique bands” is developed to analyze the bandgap structure of quasi-crystals. This method can also be applied to study two-and three-dimensional photonic and atomic quasi-crystals.

Keywords

Dielectric Constant Dispersion Curve Transfer Matrix Transfer Matrice Reciprocal Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© MAIK "Nauka/Interperiodica" 2001

Authors and Affiliations

  • M. A. Kaliteevski
    • 1
  • V. V. Nikolaev
    • 1
  • R. A. Abram
    • 2
  • S. Brand
    • 2
  1. 1.Ioffe Physicotechnical InstituteRussian Academy of SciencesSt. PetersburgRussia
  2. 2.Department of PhysicsUniversity of Durham, South RoadDurhamUK

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