dorsal/arxiv
View SchemaDepolarization regions of nonzero volume in bianisotropic homogenized composites
| Authors | Jiajia Cui, Tom G. Mackay |
|---|---|
| Categories | |
| ArXiv ID | physics/0608210 |
| URL | https://arxiv.org/abs/physics/0608210 |
| DOI | 10.1080/17455030601178172 |
| Journal | Waves in Random & Complex Media 17, 269--281 (2007) |
Abstract
In conventional approaches to the homogenization of random particulate composites, the component phase particles are often treated mathematically as vanishingly small, point-like entities. The electromagnetic responses of these component phase particles are provided by depolarization dyadics which derive from the singularity of the corresponding dyadic Green functions. Through neglecting the spatial extent of the depolarization region, important information may be lost, particularly relating to coherent scattering losses. We present an extension to the strong-property-fluctuation theory in which depolarization regions of nonzero volume and ellipsoidal geometry are accommodated. Therein, both the size and spatial distribution of the component phase particles are taken into account. The analysis is developed within the most general linear setting of bianisotropic homogenized composite mediums (HCMs). Numerical studies of the constitutive parameters are presented for representative examples of HCM; both Lorentz-reciprocal and Lorentz-nonreciprocal HCMs are considered. These studies reveal that estimates of the HCM constitutive parameters in relation to volume fraction, particle eccentricity, particle orientation and correlation length are all significantly influenced by the size of the component phase particles.
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"abstract": "In conventional approaches to the homogenization of random particulate\ncomposites, the component phase particles are often treated mathematically as\nvanishingly small, point-like entities. The electromagnetic responses of these\ncomponent phase particles are provided by depolarization dyadics which derive\nfrom the singularity of the corresponding dyadic Green functions. Through\nneglecting the spatial extent of the depolarization region, important\ninformation may be lost, particularly relating to coherent scattering losses.\nWe present an extension to the strong-property-fluctuation theory in which\ndepolarization regions of nonzero volume and ellipsoidal geometry are\naccommodated. Therein, both the size and spatial distribution of the component\nphase particles are taken into account. The analysis is developed within the\nmost general linear setting of bianisotropic homogenized composite mediums\n(HCMs). Numerical studies of the constitutive parameters are presented for\nrepresentative examples of HCM; both Lorentz-reciprocal and\nLorentz-nonreciprocal HCMs are considered. These studies reveal that estimates\nof the HCM constitutive parameters in relation to volume fraction, particle\neccentricity, particle orientation and correlation length are all significantly\ninfluenced by the size of the component phase particles.",
"arxiv_id": "physics/0608210",
"authors": [
"Jiajia Cui",
"Tom G. Mackay"
],
"categories": [
"physics.optics"
],
"doi": "10.1080/17455030601178172",
"journal_ref": "Waves in Random \u0026 Complex Media 17, 269--281 (2007)",
"title": "Depolarization regions of nonzero volume in bianisotropic homogenized composites",
"url": "https://arxiv.org/abs/physics/0608210"
},
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