Novel VIE solution for low frequency EM fields induced inside human body voxel models

The novel volume integral equation (VIE) method was developed for an accurate analysis of low frequency (LF) electromagnetic (EM) fields induced inside human body voxel model. To improve stability of LF solutions, we introduced two sets of unknowns: electric voluminous currents and surface charges defined on interfaces between different materials. At low frequencies, an efficient version of VIE was found by using only surface charges as unknowns. Adaptive cross approximation (ACA) is used to compress the MoM matrix and speed up the iterative solution based on bi-conjugate gradient stabilized (BicgStab) method. The efficiency of the solution is demonstrated for simple geometries, as well as for a real human body model. The developed approach was validated against literature data.