Analysis of Electric Field Distribution Induced by 50Hz Magnetic Fields Utilizing Fast-multipole Surface-charge-simulation Method for Voxel Models

Abstract

This paper applies the diagonal form Fast-Multipole Method (FMM; Greengard, 1997) to the Surface-Charge-simulation Method (SCM) for voxel models. This method is used here to analyze electric field distribution induced by 50Hz magnetic fields. The SCM for voxel models treats the square surface of a voxel that has different inside and outside conductivities as a surface element of the SCM that calculates a three-dimensional Laplacian field. SCM is sometimes called the indirect-Boundary Element Method (BEM) or is considered a kind of Methods of Moment (MoM) approach. The performance of the combined FMM-SCM for voxel models approach was demonstrated by calculating the induced electric fields in a whole body model for a Japanese adult male composed of 7, 977, 906, 2x2x2mm3 voxels.