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Numerical Approach for the Sensitivity of High Frequency Magnetic Induction Tomography System based on Boundary Elements and Purtubation Method
ZHAO Qian 1 #,CHEN Guang 2,HAO Jianna 2,XU Kai 2,YIN Wuliang 2 *
1.School of Electrical Engineering and Automation, Tianjin University, TianJin 300072
2.School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072
*Correspondence author
#Submitted by
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Funding: Doctoral Tutor’s Fund （No.No.20090032110062）, Chinese NSF （No.No.60910001）
Opened online:16 November 2012
Accepted by: none
Citation: ZHAO Qian,CHEN Guang,HAO Jianna.Numerical Approach for the Sensitivity of High Frequency Magnetic Induction Tomography System based on Boundary Elements and Purtubation Method[OL]. [16 November 2012] http://en.paper.edu.cn/en_releasepaper/content/4494544
 
 
Magnetic induction tomography (MIT) is an imaging technique based on the measurement of the magnetic field perturbation due to eddy currents induced in conducting objects exposed to an external magnetic excitation field. In MIT, current-carrying coils are used to induce eddy currents in the object and the induced voltages are sensed with receiving coils. When the driving frequency is significantly high, metallic targets with high conductivity between the coils can be treated as perfect electric conductors (PEC) with negligible errors. In this scenario, the penetration depth of the magnetic field into the target is extremely small and Finite Elements Method (FEM) is not efficient for the calculation of the sensitivity and the forward problem due to the requirement for large number of elements to reach an acceptable computational precision. However, Boundary Element Method (BEM) based on integral formulations becomes an effective way to analyze this kind of scattering problems since meshes are only required on the surface of the object. By point collocation, the boundary integral equations can be transformed into linear equations. Then numerical method is used to solve the linear equations and the solution of the original integral equations can be obtained. In this paper, we computed four typical sensitivity maps between the coil pairs in high frequency MIT system due to a PEC perturbation. The magnetic scalar potential was used to improve the efficiency. Five PEC objects of different shapes were used in the simulation. The results have been compared with the experimental results and that obtained from the H dot H formulations. We can know that the sensitivity maps derived by BEM are in good agreement with that from experiment and theoretical solution. Overall, BEM is an effective way to calculate the sensitivity distributions of high frequency MIT system.
Keywords:Magnetic induction tomography; perfect electric conductor; boundary element method; sensitivity distribution
 
 
 

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