Effective permittivity of mixtures:: Numerical validation by the FDTD method
Effective permittivity of mixtures:: Numerical validation by the FDTD method
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DOI：
10.1109/36.843023
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发表时间：
2000-05-01
影响因子：
8.2
通讯作者：
Nikoskinen, KI
中科院分区：
文献类型：
--
作者：
Kärkkäinen, KK;Sihvola, AH;Nikoskinen, KI
本文报道了随机介质材料中电磁场的广泛数值分析结果。本文用时域有限差分法（FDTD）模拟了TEM波导中二维介质混合物的等效介电常数，并对各种理论界进行了检验。结果表明，混合物中夹杂位置随机时，其等效介电常数的分布规律为：所有可能的介电常数值均在Wiener极限之间，而FDTD模拟结果表明，其值几乎都在Hashin-Shtrikman极限之间。没有模型似乎能够预测整个体积分数范围内的模拟行为。
The present paper reports the results of an extensive numerical analysis of electromagnetic fields in random dielectric materials. The effective permittivity of a two-dimensional (2-D) dielectric mixture is calculated by FDTD simulations of such a sample in a TEM waveguide, Various theoretical bounds are tested in light of the numerical simulations. The results show how the effective permittivity of a mixture with random inclusion positionings is distributed, All possible permittivity values lie between Wiener limits, and according to FDTD simulations the values are almost always between Hashin-Shtrikman limits, Calculated permittivity distribution is also compared with theoretical mixture models. No model seems to be able to predict the simulated behavior over the whole range of volume fraction.