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：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
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.
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页码：895 / 903
页数：9
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