Tight-binding analysis of coupled dielectric waveguide structures

Pedram Khalili Amiri*, Mehdi Ranjbaran, Khashayar Mehrany, Bizhan Rashidian, Saeed Fathololoumi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Based on the mathematical similarity of the Schrödinger and Helmholtz equations, the tight-binding method has been employed for solving optical waveguide problems, in a manner similar to the methods commonly used in solid-state physics. The solutions (TE mode electric field waveforms and propagation constants) of a single dielectric slab waveguide are considered to be known, and tight-binding is used to compute the propagation constants of several multi-waveguide structures. Analytical solutions are derived for linear and circular arrays of adjacent waveguides. The problem of two similar adjacent waveguides is treated in detail for two cases of similar and different propagation constants of the two waveguides. For this case, the proposed method is verified using the beam propagation method (BPM). Optical band formation and effect of introducing defects is also illustrated by further examples.

Original languageEnglish (US)
Pages (from-to)11-27
Number of pages17
JournalFiber and Integrated Optics
Volume25
Issue number1
DOIs
StatePublished - Jan 1 2006

Keywords

  • Defect
  • Dielectric waveguide
  • Optical trap
  • Photonic bandgap
  • Tight-binding

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics

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