The Influence of Spatial Distributions of Inhomogeneities On Effective Dielectric Properties of Composite Materials (Effective Field Approach) - Abstract

Author： Kanaun S.K. Jeulin D.

Publisher： Taylor & Francis Ltd

ISSN： 1569-3937

Source： Journal of Electromagnetic Waves and Applications, Vol.13, Iss.4, 1999-01, pp. : 557-558

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Abstract

The version of the effective field method developed in the previous work of the authors is applied to investigation of the influence of spatial distributions of inhomogeneities on the effective electrodynamic properties of the composites with sets of isolated spherical inclusions. Propagation of monochromatic electromagnetic waves through composites with generalized Boolean random sets of inclusions and with periodic distributions of inclusions is studied. The comparison of the one and two scale Boolean models discovers the influence of increasing the order in spatial positions of inclusions on the properties of the mean wave field in the composite. On the one hand there appear new types of waves in the medium, on the other hand the attenuation of these waves decrease as the order in the system increases. For composites with regular lattices of spherical inclusions the method gives narrow bands of attenuation in the vicinities of Bragg's frequencies. Outside these bands electromagnetic waves propagate through the medium without attenuation. It is shown that the effective field method allows us to describe the main features of the wave propagation phenomena in the matrix-inclusion composites.