A rigorous approach for modal analysis of two-dimensional photonic crystal waveguides consisting a circular rods is proposed. The mode propagation constants and the eigenmode fields can be accurately obtained by a simpler matrix calculus, using the one-dimensional lattice sums, the T-matrix of an isolated circular cylinder, and the generalized reflection and transmission matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for several lowest TE modes in symmetric waveguides with a rectangular lattice of air-holes in a dielectric substrate.
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