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| Forward Problem Simulation in Magnetic Induction Tomography -Based on Galerkin Finite Element Method |
| Institute of Biomedical and Electromagnetic Engineering ‘Shenyang University of Technology’ Shenyang 110870, China |
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Abstract Forward problem solution in magnetic induction tomography (MIT) can provide significant basis to system modeling, because MIT differential equation is nonpositivedefinite, which increases calculative complexity. The paper designed a method based on Galerkin Finite Element (GFE) that had no special requirement about differential operator. The GFE solved the non-positive-definite problem of eddy current field, the method was used to analyze accurately the magnetic field distribution, eddy current intensity and phase shift in detecting coils. The result demonstrated that magnetic flux density amplitude was mainly decided by real part and imaginary was sensitive to conductivity change, thus the imaginary of magnetic flux density could be used to reconstruct image. At the same time, the phase shift in the detecting coil was investigated. The result showed that the phase shift of detecting coil increased as it closed to object or was far away from exciting coil. To the same position of the object, the phase shift in detecting coil was linear to the conductivity. The theoretical derivation and the simulated experiment verified that the GFE method used in the paper was effective to solve the MIT forward problem, and further more it could provide the experiment reference and theoretical verification to MIT hardware system measurement and reconstruction algorithm study.
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