Effective dielectric constant for a random medium
Soubret, A. · Berginc, G.
Original · EN
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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