Computer Simulations of Dielectric and Magnetic Composite Media Including Dissipation

(Received 28 November 1994, received in final form 13 January 1995, accepted 16 January 1995)

Abstract
A method of simulating dissipative effective media with both dielectric and magnetic material properties is presented. As far as particles with random distribution are concerned, the effective material properties of mixtures depend only on the volume fractions and the bulk values of the materials involved. The numerical simulations have been performed for the three-dimensional case and an algorithm was used, which leads to a correct representation of Maxwell's equations in a discrete vector space without any approximation. A formula was derived that describes the behavior of the mixture for random distribution of the particles. A physical interpretation of the effective behavior is given, based on percolation theory.