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Numerical Analysis of Two-Dimensional Photonic Crystal Waveguide Devices Using Periodic Boundary Conditions and Multilayer Technique

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2 Author(s)
Yoshimasa Nakatake ; Grad. Sch. of Eng., Fukuoka Inst. of Technol., Fukuoka, Japan ; Koki Watanabe

This paper presents a formulation of two-dimensional photonic crystal wave guide devices formed by circular cylinders in triangular lattice. Decomposing the structure into layers of the cylinder arrays, the input/output properties of the devices are obtained using an analysis method of multilayer structure. We introduce periodic boundary conditions in the direction perpendicular to the wave propagation, and the Floquet-modes of each layer are calculated by the Fourier series expansion method with the help of the recursive transition-matrix algorithm. Then, the input/output properties of the devices are obtained by recursive calculation of scattering matrix with each layer.

Published in:

Network-Based Information Systems (NBiS), 2011 14th International Conference on

Date of Conference:

7-9 Sept. 2011