双各向异性均匀化复合材料中体积非零的退极化区
Depolarization regions of nonzero volume in bianisotropic homogenized composites
摘要：
在随机颗粒复合材料的均匀化的常规方法中，组分相颗粒通常在数学上被处理为极小的点状实体。这些组分相粒子的电磁响应由退极化并矢提供，退极化并矢来自相应的并矢格林函数的奇异性。通过忽略退偏振区域的空间范围，可能丢失重要信息，特别是与相干散射损耗有关的信息。我们提出了一个扩展的强性质波动理论，其中非零体积和椭球几何的去极化区域被容纳。其中，组分相颗粒的尺寸和空间分布都被考虑在内。分析是在最一般的线性设置的双各向异性均匀化复合介质（HCM）。数值研究的本构参数的HCM的代表性的例子，洛伦兹互易和洛伦兹非互易HCM被认为是。这些研究表明，估计的HCM本构参数的体积分数，颗粒偏心率，颗粒取向和相关长度都显着影响的组分相颗粒的大小。
英文摘要：
In conventional approaches to the homogenization of random particulate composites, the component phase particles are often treated mathematically as vanishingly small, point-like entities. The electromagnetic responses of these component phase particles are provided by depolarization dyadics which derive from the singularity of the corresponding dyadic Green functions. Through neglecting the spatial extent of the depolarization region, important information may be lost, particularly relating to coherent scattering losses. We present an extension to the strong-property-fluctuation theory in which depolarization regions of nonzero volume and ellipsoidal geometry are accommodated. Therein, both the size and spatial distribution of the component phase particles are taken into account. The analysis is developed within the most general linear setting of bianisotropic homogenized composite mediums (HCMs). Numerical studies of the constitutive parameters are presented for representative examples of HCM; both Lorentz-reciprocal and Lorentz-nonreciprocal HCMs are considered. These studies reveal that estimates of the HCM constitutive parameters in relation to volume fraction, particle eccentricity, particle orientation and correlation length are all significantly influenced by the size of the component phase particles.
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