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Published June 2003 | Published
Journal Article Open

Multiple-scales analysis of photonic crystal waveguides

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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August 19, 2023
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