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Coupled defects in photonic crystals

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Author(s)

  • AL Reynolds
  • U Peschel
  • F Lederer
  • PJ Roberts
  • TF Krauss
  • PJI de Maagt

Department/unit(s)

Publication details

JournalIEEE Transactions on Microwave Theory and Techniques
DatePublished - 1 Oct 2001
Issue number10, Part 2
Volume49
Number of pages8
Pages (from-to)1860-1867
Original languageUndefined/Unknown

Abstract

We present a theoretical and numerical description of coupled defects in photonic-bandgap crystals, expandable to cover a wide range of applications. Based on a weak interaction approach, explicit expressions are derived for defect interaction. The basis is formed by a system of coupled ordinary differential equations for the field amplitudes for individual defects. The actual configuration of the defects (chain, lattice, bend, or anything else) enters the equations as a linear coupling between neighboring defects. The strength of this method is that many solutions of this system are known analytically; the band structure as well as the transmission response of a defect chain, or of a defect lattice, can be determined. The results for the superlattice of defects are compared with widely accepted numerical methods, the transfer matrix method, and finite-difference time domain.

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