Homogenization via the strong-permittivity-fluctuation theory with nonzero depolarization volume

Tom G. Mackay

doi:10.1117/12.557416

2 August 2004 Homogenization via the strong-permittivity-fluctuation theory with nonzero depolarization volume

Tom G. Mackay

Proceedings Volume 5508, Complex Mediums V: Light and Complexity; (2004) https://doi.org/10.1117/12.557416
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

The depolarization dyadic provides the scattering response of a single inclusion particle embedded within a homogenous background medium. These dyadics play a central role in formalisms used to estimate the effective constitutive parameters of homogenized composite mediums (HCMs). Conventionally, the inclusion particle is taken to be vanishingly small; this allows the pointwise singularity of the dyadic Green function associated with the background medium to be employed as the depolarization dyadic. A more accurate approach is pursued in this communication by taking into account the nonzero spatial extent of inclusion particles. Depolarization dyadics corresponding to inclusion particles of nonzero volume are incorporated within the strong-permittivity-fluctuation theory (SPFT). The linear dimensions of inclusion particles are assumed to be small relative to the electromagnetic wavelength(s) and the SPFT correlation length. The influence of the size of inclusion particles upon SPFT estimates of the HCM constitutive parameters is investigated for anisotropic dielectric HCMs.In particular, the interplay between correlation length and inclusion size is explored.

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Tom G. Mackay "Homogenization via the strong-permittivity-fluctuation theory with nonzero depolarization volume", Proc. SPIE 5508, Complex Mediums V: Light and Complexity, (2 August 2004); https://doi.org/10.1117/12.557416

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