Multiple-scales analysis of photonic crystal waveguides

Joyce Poon*, Emanuel Istrate, Mathieu Allard, Edward H. Sargent

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

12 Scopus citations

Abstract

The multiple-scales method is used to derive a scalar differential equation that describes the envelopes of photonic crystal waveguide modes. For a photonic crystal heterostructure waveguide and an air core photonic crystal waveguide, the mode frequencies calculated from the envelope approximation and full numerical simulations agree to 9% in the worst case when compared to the frequency difference of the band edges. The single-mode and cutoff width conditions for a photonic crystal waveguide are predicted and verified.

Original languageEnglish (US)
Pages (from-to)778-786
Number of pages9
JournalIEEE Journal of Quantum Electronics
Volume39
Issue number6
DOIs
StatePublished - Jun 2003

Keywords

  • Approximation methods
  • Electromagnetic scattering by periodic structures
  • Optical propagation in nonhomogenous media
  • Optical waveguide theory
  • Periodic structures

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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