Abstract

An approximate circuit model is proposed for mode extraction in two-dimensional photonic crystal waveguides. The dispersion equation governing the complex propagation constant of the photonic crystal waveguide is then related to the resonance condition in the proposed circuit model. In this fashion, a scalar complex transcendental equation is given for mode extraction. To avoid searching for the complex roots of the derived scalar dispersion equation, however, the real and imaginary parts of the sought-after propagation constant are extracted by using the physical resonance condition and its corresponding quality factor in the here-proposed circuit model, respectively. All the necessary conditions for the accuracy of the proposed circuit model are discussed, and some numerical examples are given. It is fortunate that the proposed model can be applied for accurate mode extraction in most of the applications. Both major polarizations are considered.

©2012 Optical Society of America

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