VIE Solution of Low Frequency Electromagnetic Fields Induced inside Human Model

Author: Giga Gabriadze
Co-authors: G.Chiqovani, E.Yavolovskaya, L.Svanidze, D.karkashadze, R.Jobava
Keywords: VIE Solution, Human Exposure, Voxels, ACA compression, BicgStab Solver
Annotation:

The Volume Integral Equation (VIE) method is used for an accurate analysis of low frequency (LF) electromagnetic (EM) fields induced inside human voxel model. To improve stability of LF solution we introduce two sets of unknowns: electric voluminous currents and surface charges which are defined on interfaces between different materials. It is shown that at LF frequencies quasi-static formulation of VIE can be applied, which requires solution of only charges. Adaptive Cross Approximation (ACA) is used to compress MoM matrix and speed up iterative solution using Bi-Conjugate Gradient Stabilized (BicgStab) method. The efficiency of solution is demonstrated as for simple geometries, as well for real human model. For real human voxel mode obtained results are compared with literature.