Title :
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
fDate :
6/1/2003 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2003.810769
