Investigation of the Stability of ADE-FDTD Methods for Modified Lorentz Media

Author

Prokopidis, Konstantinos P. ; Zografopoulos, Dimitrios C.

Author_Institution

Dept. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki, Thessaloniki, Greece

Volume

24

Issue

10

fYear

2014

fDate

Oct. 2014

Firstpage

659

Lastpage

661

Abstract

This letter addresses the stability problem of two auxiliary differential equation (ADE) finite-difference time-domain (FDTD) methods for the case of modified Lorentz media, using the combination of the von Neumann method and the Routh-Hurwitz criterion. A rigorous investigation supported by FDTD simulations designates that the stability criterion of the conventional FDTD method can be preserved via the proper selection of the difference and averaging operators. A set of conditions for the dispersive medium parameters is derived, providing the stability limit for both FDTD schemes with practical guidelines for evaluating the fitting of experimentally studied materials.

Keywords

computational electromagnetics; differential equations; dispersive media; finite difference time-domain analysis; stability; ADE-FDTD method; Routh-Hurwitz criterion; auxiliary differential equation finite difference time-domain method; modified Lorentz Media; stability limit; von Neumann method; Dispersion; Finite difference methods; Media; Numerical stability; Stability criteria; Time-domain analysis; Auxiliary differential equations; dispersive media; finite-difference time-domain (FDTD) method; stability;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2014.2303170

Filename

6740092