A neutral multi-coated sphere under non-uniform electric field in conductivity

被引：9

作者：

Wang, Xu ^{[1
]}

Schiavone, Peter ^{[2
]}

机构：

[1] E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China

[2] Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2013年 / 64卷 / 03期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Generalized polarization tensor; Neutrality; Sphere; Multi-coating; Inverse conductivity problem; INCLUSIONS;

D O I：

10.1007/s00033-012-0260-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a neutral spherical inclusion for three-dimensional conductivity. Such an inclusion when inserted into a matrix does not disturb an arbitrary non-uniform electric field outside the inclusion. Our design is realized by means of multi-coating which cancels the lower order, generalized polarization tensors. Analytical results for a doubly coated sphere and detailed numerical results for a sphere with three or more coatings are presented to demonstrate the theory.

引用

页码：895 / 903

页数：9

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