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

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4 Author(s)
Osman S. Ahmed ; Computational Electromagnetics Research Laboratory, Department of Electrical and Computer Engineering, McMaster University, Hamilton, Canada ; Mohamed H. Bakr ; Xun Li ; Tsuyoshi Nomura

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.

Published in:

IEEE Transactions on Microwave Theory and Techniques  (Volume:60 ,  Issue: 10 )