Multiple-scales analysis of photonic crystal waveguides

Author

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

Author_Institution

California Inst. of Technol., Pasadena, CA, USA

Volume

39

Issue

6

fYear

2003

fDate

6/1/2003 12:00:00 AM

Firstpage

778

Lastpage

786

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.

Keywords

approximation theory; differential equations; electromagnetic wave scattering; optical waveguide theory; photonic crystals; air core photonic crystal waveguide; band edges; cutoff width conditions; envelope approximation; frequency difference; full numerical simulations; mode frequencies; multiple-scales analysis; photonic crystal waveguide modes; photonic crystal waveguides; scalar differential equation; single-mode conditions; Dispersion; Electromagnetic waveguides; Equations; Frequency; Numerical simulation; Optical waveguide theory; Optical waveguides; Photonic crystals; Semiconductor waveguides; Waveguide theory;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2003.810769

Filename

1201572