A Model for the Forward Problem in Magnetic Induction Tomography Using Boundary Integral Equations

• Published in: IEEE transactions on magnetics Vol. 44; no. 10; pp. 2262 - 2267
• Main Authors: Pham, M.H., Peyton, A.J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.10.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Boundaries; Boundary conditions; Boundary integral equations; Coils; Conductivity; Conductors; Cross-disciplinary physics: materials science; rheology; eddy current; electromagnetic; Exact sciences and technology; Exteriors; Image reconstruction; Integral equations; Laplace equations; Magnetic induction; magnetic induction tomography; Magnetic vector potentials; Magnetism; Materials science; Mathematical model; Mathematical models; Other topics in materials science; Permeability; Physics; Tomography; Magnetic induction; Integral equations; electromagnetic; magnetic induction tomography; Modelling; eddy current; Eddy currents; Magnetic properties; Boundary integral equations
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2008.2003142

We propose a new formulation for the forward problem in magnetic induction tomography (MIT). We formulate the problem in terms of interior and exterior boundary integral equations (BIEs), subject to appropriate boundary conditions. We then transform a standard exterior BIE involving the magnetic vector potential to a BIE involving the electric fields. This transformation eliminates two boundary conditions involving the magnetic vector potential and its normal derivative. This greatly reduces the computational complexity of the model. Here, we compare numerical solutions of the model to analytical solutions.