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

fYear

2009

fDate

21-25 Sept. 2009

Firstpage

1

Lastpage

2

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICIMW.2009.5324675

Filename

5324675