Propagation Loss Analysis in Photonic Crystal Waveguides using a Complex-Band Technique

We present a semi-analytical Green's function-based technique for analyzing propagation loss in photonic crystal waveguides (PCWGs). The method only requires the complex band structure of the PCWG to calculate the transmission (or loss) of the structure. The plane-wave expansion method was used in this work to calculate the complex band behavior, and the power of this technique is demonstrated by comparing the results with the brute force simulation results for a PCWG. The possibility of extending this technique to the more practical arrangement of a random distribution of defects using a configurational average with coherent potential approximation theory will also be discussed.