Biomedical Magnetic Induction Tomography: An Inhomogeneous Green’s Function Approach

Authors

  • Philippe De Tillieux Department of Electrical Engineering Polytechnique Montreal, Montreal, QC, H3T 1J4, Canada
  • Yves Goussard Department of Electrical Engineering Polytechnique Montreal, Montreal, QC, H3T 1J4, Canada

Keywords:

Biomedical, magnetic induction, volume integral

Abstract

Magnetic induction tomography aims to reconstruct the passive electric properties of an object by measuring its scattered magnetic field. Current state-ofthe- art numerical techniques are based on differential formulations such as the finite element method. A formulation based on volume integral equations has not yet been applied to its biomedical field and could improve the reconstruction speed by reducing the number of unknowns. This paper investigates salient characteristics of the approach and offers a solution based on inhomogeneous Green's functions.

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References

P. De Tillieux and Y. Goussard, “A volumetric integral equation formulation for magnetic induction tomography,” Antenna Measurements & Applications (CAMA), 2016 IEEE Conference, pp. 1-4, 2016.

S. Gabriel, R. W. Lau, and C. Gabriel, “The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz,” Physics in Medicine and Biology, 41(11), 1996.

M. Pastorino, Microwave Imaging. vol. 208, John Wiley & Sons, 2010.

V. Lancelloti, B. P. de Hon, and A. G. Tijhuis, “Scattering from large 3-D iecewise homogeneous bodies through linear embedding via Green’s operators and Arnoldi basis functions,” Progress in Electromagnetics Research, 103, pp. 305-322, 2010.

C. T. Tai, “Dyadic Green functions in electromagnetic theory,” Institute of Electrical & Electronics Engineers (IEEE), 1994.

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Published

2021-07-14

How to Cite

[1]
Philippe De Tillieux and Yves Goussard, “Biomedical Magnetic Induction Tomography: An Inhomogeneous Green’s Function Approach”, ACES Journal, vol. 34, no. 02, pp. 360–362, Jul. 2021.

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