Title :
Numerical Analysis of Two-Dimensional Photonic Crystal Waveguide Devices Using Periodic Boundary Conditions and Multilayer Technique
Author :
Nakatake, Yoshimasa ; Watanabe, Koki
Author_Institution :
Grad. Sch. of Eng., Fukuoka Inst. of Technol., Fukuoka, Japan
Abstract :
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.
Keywords :
Fourier series; S-matrix theory; numerical analysis; optical multilayers; optical waveguides; photonic crystals; recursion method; Floquet modes; Fourier series expansion method; circular cylinders; cylinder arrays; multilayer; numerical analysis; periodic boundary conditions; recursive calculation; recursive transition matrix algorithm; scattering matrix; two-dimensional photonic crystal waveguide devices; wave propagation; Boundary conditions; Electromagnetics; Fourier series; Optical waveguides; Photonic crystals; Transmission line matrix methods; Floquet-modes; Fourier series expansion method; periodic boundary conditions; photonic crystal waveguide devices;
Conference_Titel :
Network-Based Information Systems (NBiS), 2011 14th International Conference on
Conference_Location :
Tirana
Print_ISBN :
978-1-4577-0789-6
Electronic_ISBN :
2157-0418
DOI :
10.1109/NBiS.2011.81
