Transport properties of arrays of elliptical cylinders

被引:39
作者
Nicorovici, NA
McPhedran, RC
机构
[1] Department of Theoretical Physics, School of Physics, University of Sydney, New South Wales
来源
PHYSICAL REVIEW E | 1996年 / 54卷 / 02期
关键词
D O I
10.1103/PhysRevE.54.1945
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We apply the Rayleigh method to derive a formulation yielding the effective dielectric tensor of a periodic composite consisting of an array of elliptical cylinders placed in a matrix bf unit dielectric constant. We consider three types of composites having this structure: dilute noncritical, dilute critical, and concentrated composites. For dilute noncritical composites we comment on our result in relation to the competing forms of the Maxwell-Garnett formula, which have been proposed previously. We also discuss the case of dilute critical and concentrated composites of solid elliptical inclusions, and comment on geometrical constraints on the validity of the Rayleigh equations.
引用
收藏
页码:1945 / 1957
页数:13
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