dorsal/arxiv
View SchemaDepolarization volume and correlation length in the homogenization of anisotropic dielectric composites
| Authors | Tom G. Mackay |
|---|---|
| Categories | |
| ArXiv ID | physics/0408046 |
| URL | https://arxiv.org/abs/physics/0408046 |
| DOI | 10.1088/0959-7174/14/4/001 |
| Journal | Wave Random Media 14 (2004) 485-498 |
Abstract
In conventional approaches to the homogenization of random particulate composites, both the distribution and size of the component phase particles are often inadequately taken into account. Commonly, the spatial distributions are characterized by volume fraction alone, while the electromagnetic response of each component particle is represented as a vanishingly small depolarization volume. The strong-permittivity-fluctuation theory (SPFT) provides an alternative approach to homogenization wherein a comprehensive description of distributional statistics of the component phases is accommodated. The bilocally-approximated SPFT is presented here for the anisotropic homogenized composite which arises from component phases comprising ellipsoidal particles. The distribution of the component phases is characterized by a two-point correlation function and its associated correlation length. Each component phase particle is represented as an ellipsoidal depolarization region of nonzero volume. The effects of depolarization volume and correlation length are investigated through considering representative numerical examples. It is demonstrated that both the spatial extent of the component phase particles and their spatial distributions are important factors in estimating coherent scattering losses of the macroscopic field.
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"abstract": "In conventional approaches to the homogenization of random particulate\ncomposites, both the distribution and size of the component phase particles are\noften inadequately taken into account. Commonly, the spatial distributions are\ncharacterized by volume fraction alone, while the electromagnetic response of\neach component particle is represented as a vanishingly small depolarization\nvolume. The strong-permittivity-fluctuation theory (SPFT) provides an\nalternative approach to homogenization wherein a comprehensive description of\ndistributional statistics of the component phases is accommodated. The\nbilocally-approximated SPFT is presented here for the anisotropic homogenized\ncomposite which arises from component phases comprising ellipsoidal particles.\nThe distribution of the component phases is characterized by a two-point\ncorrelation function and its associated correlation length. Each component\nphase particle is represented as an ellipsoidal depolarization region of\nnonzero volume. The effects of depolarization volume and correlation length are\ninvestigated through considering representative numerical examples. It is\ndemonstrated that both the spatial extent of the component phase particles and\ntheir spatial distributions are important factors in estimating coherent\nscattering losses of the macroscopic field.",
"arxiv_id": "physics/0408046",
"authors": [
"Tom G. Mackay"
],
"categories": [
"physics.optics"
],
"doi": "10.1088/0959-7174/14/4/001",
"journal_ref": "Wave Random Media 14 (2004) 485-498",
"title": "Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites",
"url": "https://arxiv.org/abs/physics/0408046"
},
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