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

作者：Wang, Xu^*; Schiavone, Peter

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2013, 64(3): 895-903.

DOI：10.1007/s00033-012-0260-6

• Generalized polarization tensor
• Neutrality
• Sphere
• Multi-coating
• Inverse conductivity problem

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.

• 出版日期2013-6
• 单位华东理工大学