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Calculation of 3D sensitivity matrix for electromagnetic tomography system using boundary elements and the perturbative approach

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Abstract

Electromagnetic tomography (EMT) is a non-invasive imaging technique capable of mapping the conductivity and permeability of an object. In EMT, eddy currents are induced in the object by the activation coils, and the receiving coils can measure the EMT voltages. When the activation frequency is significantly large, we can treat the metallic targets as electrically perfect conductors (EPCs). In this situation, a thin skin approximation is reasonable and this type of scattering problem can be effectively treated by the boundary element method (BEM) formulated through integration equations. In this study, we compute three-dimensional (3D) sensitivity matrix between the sensors due to an EPC perturbation. Efficiency improvement is achieved through the utility of scalar magnetic potential. Two EPC objects, one sphere and one cube shaped, are simulated. The results agree well with the H dot H formula. Overall, we conclude that BEM can be used to calculate the 3D sensitivity matrix of an EMT system efficiently. This method is a general one for any shaped objects while the H dot H solution is only capable of producing the response for a small ball.

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Authors and Affiliations

  1. Department of Electrical Engineering, Shanghai Maritime University, Shanghai, 201306, China

    Min He  (何 敏)

  2. School of Automation, Tianjin University, Tianjin, 300072, China

    Qian Zhao  (赵 倩)

  3. School of Electrical and Electronic Engineering, The University of Manchester, Manchester, M13 9PL, UK

    Wu-liang Yin  (尹武良)

Authors
  1. Min He  (何 敏)
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  2. Qian Zhao  (赵 倩)
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  3. Wu-liang Yin  (尹武良)
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Corresponding author

Correspondence to Wu-liang Yin  (尹武良).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 50937005), and the Shanghai Maritime University Science and Technology Program (No. 20120064)

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He, M., Zhao, Q. & Yin, Wl. Calculation of 3D sensitivity matrix for electromagnetic tomography system using boundary elements and the perturbative approach. J. Shanghai Jiaotong Univ. (Sci.) 19, 302–307 (2014). https://doi.org/10.1007/s12204-014-1503-9

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  • DOI: https://doi.org/10.1007/s12204-014-1503-9

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