Sensitivity matrix analysis for contactless electrical conductivity imaging

In this study, the sensitivity matrix for contactless electrical conductivity imaging was analyzed. Images of conductivity distribution were obtained using the reconstruction algorithms. To analyze the sensitivity matrix, a homogeneous volume conductor with 0.2 S/m conductivity and a 7×7 grid of coil pairs were chosen. Sensitivity distributions for all receiver- transmitter coils were imaged. To image conductivity distribution, forward problem with different conductivity distributions was solved. These results were used as data for inverse problem solution. Images of conductivity distributions were obtained by using Steepest Descent Method, Conjugate Gradient Method and Tikhonov Regularization Method. The best image was obtained using Steepest Descent Method with 2.5% error.