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A new approach toward global modeling improvement of active microwave devices using filter-bank transforms is presented. A preconditioner based on these transforms is used to facilitate the iterative solution of the Poisson's equation. This equation must be solved in the excitation plane which the input voltage is applied, at each time step in the full-wave analysis of high-frequency active devices. The condition number of the preconditioned matrix and computational cost of the proposed method is better than the conventional (ILU) and wavelet-based preconditioners. This paper also presents a fundamental step toward applying filter-bank transforms to Maxwell's equations in conjunction with the hydrodynamic model in implicit schemes, aiming to decrease the simulation time of global modeling.

Abstract-We present a new formulation to implement the complex frequency shifted-perfectly matched layer (CFS-PML) for boundary truncation in 2-D vector finite-element time-domain method directly applied to Maxwell's equations. It is shown that the proposed method is highly absorptive to evanescent modes when computing the wave interaction of elongated structures or sharp corners. The impact of the CFS-PML parameters on the reflection error is investigated and optimal choices of these parameters are derived.Index Terms-Absorbing boundary conditions (ABC), finiteelement time-domain (FETD) method, Maxwell's equations, perfectly matched layer (PML).