Postprocessing of FDTD solutions for precise calculations of eigenfrequencies of photonic periodic structures utilizing the variational expression

Author

Ohtera, Yasuo ; Sasaki, Yoshihiro ; Kawakami, Shojiro

Author_Institution

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

Volume

22

Issue

6

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

1628

Lastpage

1636

Abstract

This paper presents a method that improves by orders of magnitude the accuracy of the finite-difference time-domain (FDTD)-calculated eigenfrequencies of photonic crystals. The method utilizes a variational expression for the eigenfrequencies of periodic structures. Applications to perfect crystals, waveguides, and resonant cavities are demonstrated. The paper confirms that the method can reduce the computational time by more than 90% while obtaining accuracy in frequency comparable to that obtained solely by the conventional FDTD method.

Keywords

cavity resonators; eigenvalues and eigenfunctions; finite difference time-domain analysis; photonic crystals; FDTD solutions; eigenfrequencies; finite-difference time-domain; perfect crystals; photonic crystals; photonic periodic structures; postprocessing; resonant cavities; variational expression; waveguides; Dispersion; Eigenvalues and eigenfunctions; Finite difference methods; Frequency; Geometrical optics; Optical signal processing; Optical waveguides; Periodic structures; Photonic crystals; Time domain analysis; Dispersion relation; eigenvalue problem; photonic crystal; variational expression;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2004.827660

Filename

1303742