Anisotropic homogenized composite mediums arising from truncated spheres, spheroids, and ellipsoids
arxiv(2024)
摘要
Closed-form expressions were recently derived for depolarization dyadics for
truncated spheres and truncated spheroids, and the formalism was extended to
truncated ellipsoids. These results were exploited to develop an implementation
of the Maxwell Garnett homogenization formalism for the relative permittivity
parameters of homogenized composite mediums (HCMs) arising from an isotropic
host medium impregnated with isotropic inclusions that are truncated spheres,
spheroids, and ellipsoids. In so doing, the anisotropy of the HCM was related
to the geometry of the inclusions: in general, the more the shape of the
inclusions deviated from spherical, the greater was the degree of anisotropy
exhibited by the HCM.
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