Improvement of active microwave device modeling using filter-bank transforms

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.