Anisotropic homogenized composite mediums arising from truncated spheres, spheroids, and ellipsoids

2024/04/27 by Tom G. Mackay, Akhlesh Lakhtakia, Mackay, Tom G. +1
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Optics (physics.optics)

paper · pdf · doi:10.48550/arxiv.2404.17817

openalex publication_date 2024/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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