Methods of Accounting of Randomness of Inclusions’ Form in Calculation of Effective Dielectric Characteristics of the Heterogeneous Textured Materials
Two methods of the accounting of randomness of inclusions’ form for calculation of effective permittivity tensor of the textured heterogeneous medium of matrix type with inclusions of a casual ellipsoidal form have been offered: an analytical method and a method of modeling of the medium with several types of inclusions. Both methods are constructed on the basis of the generalized Maxwell-Garnett's model, representations of the rotation group are applied to the accounting of inclusions’ orientations’ distribution. The results of calculation of effective dielectric characteristics of porous silicon models in the frequency range of 10 3-10 8 Hz produced by these two methods have been compared.