A Time-Domain Adjoint Variable Method for Materials With Dispersive Constitutive Parameters

Author

Ahmed, Osman S. ; Bakr, Mohamed H. ; Li, Xun ; Nomura, Tsuyoshi

Author_Institution

Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, Canada

Volume

60

Issue

10

fYear

2012

Firstpage

2959

Lastpage

2971

Abstract

We present the first time-domain adjoint variable method (AVM) algorithm for materials with dispersive constitutive parameters. We develop our algorithm based on transmission-line modeling techniques for electromagnetic problems. The developed theory is based on utilizing the Z-domain representation of the dispersive materials, which can model arbitrary dispersive behavior. We develop a formulation similar to the original AVM theory for nondispersive materials. The theory has been successfully applied to problems with dispersive materials modeled by the Drude, Debye, and Lorentz models.

Keywords

electromagnetic waves; time-domain analysis; transmission line theory; Debye model; Drude model; Lorentz model; Z-domain representation; arbitrary dispersive behavior; dispersive constitutive parameter; dispersive materials; electromagnetic problems; time-domain adjoint variable method; transmission-line; Computational modeling; Dispersion; Materials; Numerical models; Sensitivity; Time domain analysis; Time varying systems; Adjoint variable method (AVM); computer-aided design (CAD); dispersive materials; memory efficient sensitivities; transmission-line modeling (TLM);

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2012.2207736

Filename

6255776