Numerical Modeling of Magnetic Field Deformation as Related to Susceptibility Measured with an MR System

Abstract

The possibility is studied of numerical modeling of magnetic field deformations in the environment of measured diamagnetic and paramagnetic samples for the purposes of studying magnetic resonance (MR) image deformations owing to the susceptibility of heterogeneous materials (objects). The verification was realized using a simple sample configuration (circular plate), and the numerically modeled cross-sections were compared with the experimentally obtained values of the magnetic field measured by the MR gradient echo technology. The results show that it is possible – via a technical calculation – to determine a magnetic field deformation in the environment of complex-shaped or non-homogeneous structures in the MR experiments.

Keywords

• Magnetic resonance (MR)
• numerical modeling
• magnetic resonance imaging (MRI)
• magnetic field mapping
• finite element method (FEM).