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Multiple-scales analysis of photonic crystal waveguides

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4 Author(s)
Poon, J. ; California Inst. of Technol., Pasadena, CA, USA ; Istrate, E. ; Allard, M. ; Sargent, Edward H.

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.

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Quantum Electronics, IEEE Journal of  (Volume:39 ,  Issue: 6 )