Title :
Floquet-mode analysis of two-dimensional electromagnetic bandgap waveguides consisting of circular cylinders in triangular lattice
Author :
Watanabe, Koki ; Nakatake, Yoshimasa
Author_Institution :
Fukuoka Inst. of Technol., Fukuoka, Japan
Abstract :
The electromagnetic fields propagating in the electromagnetic bandgap waveguides consisting of circular cylinders in triangular lattice are formulated using the periodic boundary conditions. The fields are expressed in the plane-wave and the cylindrical-wave expansions, and the transfer-matrix for one periodicity cell is derived with the help of the recursive transition-matrix algorithm. The Floquet-modes of the waveguides (not only the guided-modes but also the evanescent-modes) are calculated by the eigenvalue analysis of the transfer matrix. An adequate treatment of the boundary conditions at the cylinder surface makes us possible to decrease the truncation order while keeping accuracy.
Keywords :
eigenvalues and eigenfunctions; electromagnetic wave propagation; photonic band gap; waveguides; 2D electromagnetic bandgap waveguide; Floquet mode analysis; circular cylinder; cylindrical wave expansion; eigenvalue analysis; evanescent mode; periodic boundary condition; plane wave expansion; transfer matrix; triangular lattice; Electromagnetic analysis; Electromagnetic fields; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Lattices; Metamaterials; Optical waveguides; Periodic structures; Transmission line matrix methods;
Conference_Titel :
Infrared, Millimeter, and Terahertz Waves, 2009. IRMMW-THz 2009. 34th International Conference on
Conference_Location :
Busan
Print_ISBN :
978-1-4244-5416-7
Electronic_ISBN :
978-1-4244-5417-4
DOI :
10.1109/ICIMW.2009.5324675
