2003/12/18 by A. Soubret, Soubret, A., G. Berginc +1
Physics and Astronomy · #FOS: Physical sciences #Optics (physics.optics) #physics.optics
paper · pdf · doi:10.48550/arxiv.physics/0312117
arxiv created 2003/12/18 · arxiv updated 2009/12/01
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.