Mixing Formulas in Time Domain

摘要

The paper discusses the dispersive properties of dielectric materials both in thetime and the frequency domains. Special emphasis is on the treatment of heterogeneous materials, in particular two-phase mixtures. A time domain Maxwell Garnett rule is derived which differs from the corresponding frequency domain formula in the respect that it is expressed in terms of convolutions and inverse operators of the susceptibility kernels of the materials. Much of the analysis deals with the question how the temporal dispersion of the dielectric response of various physical materials is affected by the mixing process. Debye, Lorentx, Drude, and modified Debye susceptibility mdoels are treated in detail.