CaltechAUTHORS
Published June 2003 | Version Published
Journal Article Open

Multiple-scales analysis of photonic crystal waveguides

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of Toronto

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.

Additional Information

© 2003 IEEE. Manuscript received August 22, 2003; revised January 22, 2003. The authors thank Prof. D. Pelinovsky of McMaster University for helpful discussions. They also acknowledge Nortel Networks and the Natural Sciences and Engineering Research Council of Canada for generous support of this work.

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Additional details

Identifiers

Eprint ID
76247
Resolver ID
CaltechAUTHORS:20170408-164619150

Funding

Nortel Networks
Natural Sciences and Engineering Research Council of Canada (NSERC)

Dates

Created
2018-03-09
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field