Variational expression for the analysis of photonic crystal devices

Author

Ohtera, Yasuo ; Kurokawa, Kaneyuki ; Kawakami, Shojiro

Author_Institution

New Ind. Creation Hatchery Center, Tohoku Univ., Sendai, Japan

Volume

38

Issue

7

fYear

2002

fDate

7/1/2002 12:00:00 AM

Firstpage

919

Lastpage

926

Abstract

Variational expressions of the eigenfrequencies for photonic crystals are presented. We demonstrate that, by combining the expression with the conventional FDTD algorithm, the features of photonic band structures can be obtained efficiently. The proposed method can also be applied to the dispersion curves of photonic crystal waveguides. By employing the Rayleigh-Ritz method, anti-crossing features of the dispersion curves caused by the coupling of eigenmodes can be also successfully treated

Keywords

dispersion relations; eigenvalues and eigenfunctions; finite difference time-domain analysis; optical waveguide theory; photonic band gap; variational techniques; FDTD algorithm; Rayleigh-Ritz method; anti-crossing features; dispersion curves; eigenfrequencies; eigenmode coupling; photonic band structures; photonic crystal devices; photonic crystal waveguides; variational expression; Dielectrics; Dispersion; Educational technology; Electromagnetic waveguides; Finite difference methods; Laboratories; Lattices; Optical refraction; Photonic crystals; Time domain analysis;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2002.1017608

Filename

1017608