A Unified FDTD Lattice Truncation Method for Dispersive Media Based on Periodic Boundary Conditions

Author

Li, Dongying ; Sarris, Costas D.

Author_Institution

Edward S. Rogers Sr. Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada

Volume

28

Issue

10

fYear

2010

fDate

5/15/2010 12:00:00 AM

Firstpage

1447

Lastpage

1454

Abstract

A unified treatment for the truncation of finite-difference time-domain lattices, applicable to dispersive and conductive media alike, is proposed. The method is based on periodic boundary conditions, hence necessitating that the medium under study be periodic along the direction of truncation. When this condition (which is satisfied in many practical cases) is met, a much simpler but equally effective alternative to the PML is provided by the combination of periodic boundaries with an array-scanning method. The proposed formulation does not need any additional auxiliary variables when applied to dispersive media, unlike the PML. Applications include a Bragg filter and a negative-refractive-index super lens.

Keywords

Bragg gratings; finite difference time-domain analysis; optical conductivity; optical dispersion; optical lattices; Bragg filter; array-scanning method; conductive media; dispersive media; finite-difference time-domain lattices; lattice truncation method; negative-refractive-index super lens; periodic boundary conditions; unified treatment; Finite-difference time-domain (FDTD); periodic boundary conditions;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2010.2043055

Filename

5418951