dorsal/arxiv
View SchemaEffective dielectric constant for a random medium
| Authors | A. Soubret, G. Berginc |
|---|---|
| Categories | |
| ArXiv ID | physics/0312117 |
| URL | https://arxiv.org/abs/physics/0312117 |
Abstract
In this paper, we present an approximate expression for determining the effective permittivity describing the coherent propagation of an electromagnetic wave in random media. Under the Quasicrystalline Coherent Potential Approximation (QC-CPA), it is known that multiple scattering theory provided an expression for this effective permittivity. The numerical evaluation of this one is, however, a challenging problem. To find a tractable expression, we add some new approximations to the (QC-CPA) approach. As a result, we obtained an expression for the effective permittivity which contained at the same time the Maxwell-Garnett formula in the low frequency limit, and the Keller formula, which has been recently proved to be in good agreement for particles exceeding the wavelength.
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"date_modified": "2026-03-02T18:00:46.962000Z",
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"abstract": "In this paper, we present an approximate expression for determining the\neffective permittivity describing the coherent propagation of an\nelectromagnetic wave in random media. Under the Quasicrystalline Coherent\nPotential Approximation (QC-CPA), it is known that multiple scattering theory\nprovided an expression for this effective permittivity. The numerical\nevaluation of this one is, however, a challenging problem. To find a tractable\nexpression, we add some new approximations to the (QC-CPA) approach. As a\nresult, we obtained an expression for the effective permittivity which\ncontained at the same time the Maxwell-Garnett formula in the low frequency\nlimit, and the Keller formula, which has been recently proved to be in good\nagreement for particles exceeding the wavelength.",
"arxiv_id": "physics/0312117",
"authors": [
"A. Soubret",
"G. Berginc"
],
"categories": [
"physics.optics"
],
"title": "Effective dielectric constant for a random medium",
"url": "https://arxiv.org/abs/physics/0312117"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d8c49d0d-02aa-435a-897e-c4002724fedd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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