Simulation of the electromagnetic vector field in the high-frequency components with dispersive materials

Abstract

This paper deals with parallel analysis of an electromagnetic problem for frequency-dependent materials. The solution of the linear wave equation is achieved using the finite element time domain method. A multi-pole Debye model approximates the memory of the dispersive material. The time-domain convolution is explicitly calculated using the integration by parts method. The linear recursive technique is implemented to estimate the convolution integral in each time step. The comparative study of two parallel implementations of the algorithm is presented. The discussed parallel versions are based on the domain decomposition paradigm and task decomposition scheme. The task decomposition is developed using some heuristic scheme of coupling of parallel tasks. The presented algorithms are executed over a distributed, homogeneous testbed. Some aspects connected with simulation of a broadband electromagnetic field in a dispersive and isotropic material are discussed.