A neutral multi-coated sphere under non-uniform electric field in conductivity |
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| Authors: | Xu Wang Peter Schiavone |
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| Affiliation: | 1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China
2. Department of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building, Edmonton, AB, T6G 2G8, Canada
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| Abstract: | 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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