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arXiv physics/0312117physics.optics
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随机介质的有效介电常数

Effective dielectric constant for a random medium

A. Soubret, G. Berginc

摘要:

本文给出了描述电磁波在随机介质中相干传播的等效介电常数的近似表达式。在准晶相干势近似下,多重散射理论给出了有效介电常数的表达式。然而,这一个的数值评估是一个具有挑战性的问题。为了找到一个易于处理的表达式,我们添加了一些新的近似(QC-CPA)的方法。结果,我们得到了一个表达式的有效介电常数,其中包含在同一时间的麦克斯韦-加内特公式在低频极限,和凯勒公式,最近已被证明是在良好的协议,粒子超过波长。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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