Calculation of the effective dielectric function of composites with periodic geometry

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	Calculation of the effective dielectric function of composites with periodic geometry
	C. X. Zhang ; B. F. Yang ; X. H. Wu ; T. Q. Lu ; Y. S. Zheng ; W. H. Su
刊名	Physica B-Condensed Matter
	2000
卷号	293 期号:1-2 页码:16-32
关键词	dielectric function composites periodic geometry Fourier expansion nonlinear susceptibility 2-component composite transport-properties constant bounds conductivity spheres media
ISSN号	0921-4526
中文摘要	A method for calculating the effective dielectric function of a two-component periodic composite is described. Using a simple Fourier expansion technique, we obtain an explicit power series expression of H(t), which is one of the characteristic geometric functions of the two-component composite proposed by Bergman. The relation between the series of H(t) and that of another characteristic geometric function of composite F(s) is studied. The dielectric function of composite F, Of two kinds of model systems is calculated by using both H(t) and F(s) for finite-size reciprocal lattice. The deviations of the numerical results of epsilon (e) from the exact ones, which are caused by the limited size of the reciprocal lattice used, are investigated. It is found that the: accuracies of the numerical results of F(s) differ from those of H(t). For simple cubic arrays of nonoverlapping spheres, the results of epsilon (e), obtained from H(t) are closer to the exact ones, especially when the volume fraction of the inclusions is larger and the dielectric contrast of the composite is higher. For 2-D prisms, the averages of the results of epsilon (e) obtained from using F(s) and those from H(t) are closer to the exact ones. (C) 2000 Elsevier Science B.V. All rights reserved.
原文出处	://WOS:000166135500004
公开日期	2012-04-14
内容类型	期刊论文
源URL	[http://ir.imr.ac.cn/handle/321006/37241]
专题	金属研究所_中国科学院金属研究所
推荐引用方式 GB/T 7714	C. X. Zhang,B. F. Yang,X. H. Wu,et al. Calculation of the effective dielectric function of composites with periodic geometry[J]. Physica B-Condensed Matter,2000,293(1-2):16-32.
APA	C. X. Zhang,B. F. Yang,X. H. Wu,T. Q. Lu,Y. S. Zheng,&W. H. Su.(2000).Calculation of the effective dielectric function of composites with periodic geometry.Physica B-Condensed Matter,293(1-2),16-32.
MLA	C. X. Zhang,et al."Calculation of the effective dielectric function of composites with periodic geometry".Physica B-Condensed Matter 293.1-2(2000):16-32.