Keywords: Electromagnetic Tissue Properties, Electromagnetic Tissue Properties
Motivation: The conventional methods for electrical properties (EPs) tomography without the local homogeneity assumption requires the EP values on the ROI boundary, which are not available in practical situations.
Goal(s): Our goal was to develop a method that can compute the boundary EP values from the measured B1 field.
Approach: We derived an integral equation for the boundary EP values based on the Helmholtz decomposition for the electric and magnetic fields.
Results: The proposed method was verified numerically and experimentally with a phantom, showing that it can reconstruct the EP contrast more accurately than the conventional integral-equation-based method that assumes incorrect boundary values.
Impact: The estimated boundary EP values can be used in the conventional partial-differential-equation-based and integral-equation based methods for reconstructing non-homogeneous EPs in the ROI, which eliminates the necessity of assuming the boundary EPs.
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