A limitation of the Bruggeman formalism for homogenization

被引：63
|
作者：
Mackay, TG
Lakhtakia, A
机构：
[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Penn State Univ, Dept Engn Sci & Mech, Computat & Theoret Mat Sci Grp, CATMAS, University Pk, PA 16802 USA
来源：
OPTICS COMMUNICATIONS | 2004年 / 234卷 / 1-6期
关键词：
homogenization; negative permittivity; Bruggeman formalism; Maxwell Garnett formalism; Hashin-Shtrikman bounds; Wiener bounds;
D O I：
10.1016/j.optcom.2004.02.007
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The Bruggeman formalism provides an estimate of the effective permittivity of a particulate composite medium comprising two component mediums. The Bruggeman estimate is required to fie within the Wiener bounds and the Hashin-Shtrikman bounds. Considering the homogenization of weakly dissipative component mediums characterized by relative permittivities with real parts of opposite signs, we show that the Bruggeman estimate may not be physically reasonable when the component mediums are weakly dissipative; furthermore, both the Wiener bounds and the Hashin-Shtrikman bounds exhibit strong resonances. (C) 2004 Elsevier B.V. All rights reserved.
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页码：35 / 42
页数：8
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