Study on Guided Eigenmode Analysis of Photonic Crystal Waveguides Formed by Multilayered Periodic Arrays of Circular Cylinders

This paper investigates a formulation of the guided eigenmode fields propagating in straight photonic crystal waveguides formed by multilayered periodic arrays of circular cylinders. The formulation is based on the multilayer method and the recursive transition-matrix algorithm with lattice sums technique, and know to provide accurate results in very short computation time. The formulation assumes that homogeneous regions exist between the periodic cylinder arrays, the applicability for the overlapped structures is not clear.