Time Domain Analysis of PEEC Models Through the FFT Acceleration Technique

Abstract

This paper presents a novel approach to solve time domain Maxwell’s equation through the partial element equivalent circuit (PEEC) method. To achieve this, the matrix-vector products involving the full matrices describing magnetic and electric field couplings, namely partial inductances and coefficients of potential matrices, are performed exploiting the translational invariance of the physical interactions by resorting to the fast Fourier transform. The proposed approach is applied to time-stepping methods and to the methods based on the numerical inversion of the Laplace transform, requiring matrix-vector products in the complex plane when iterative solvers are adopted to handle a large number of unknowns. Then, the quality of this approach is validated by comparing the results with those obtained with a commercial solver based on the finite integration technique.