Abstract

In order to improve the performance of the numerical dispersion in the conventional Peaceman-Rachford ADI-FDTD (PR-ADI-FDTD) method, some perturbation items are introduced into the formulation of the PR-ADI-FDTD method. Based on it, a generalized Peaceman-Rachford ADI-FDTD (GPR-ADI-FDTD) method for solving 2-D Maxwell's equations is presented in this paper. Compared with the conventional PR-ADI-FDTD method, the new GPR-ADI-FDTD method contains several free parameters that can be used to ameliorate its numerical dispersion. In addition, the solution procedure of the GPR-ADI-FDTD method is similar as that of the conventional PR-ADI-FDTD method, in which there is no extra computational complexity involved.

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