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

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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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Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

    Xu Wang

  2. Department of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building, Edmonton, AB, T6G 2G8, Canada

    Peter Schiavone

Authors
  1. Xu Wang
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  2. Peter Schiavone
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Correspondence to Peter Schiavone.

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Wang, X., Schiavone, P. A neutral multi-coated sphere under non-uniform electric field in conductivity. Z. Angew. Math. Phys. 64, 895–903 (2013). https://doi.org/10.1007/s00033-012-0260-6

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  • DOI: https://doi.org/10.1007/s00033-012-0260-6

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