Two-Step Mirror Model for the Optimization of the Magnetic Field Generated by Coils Inside Magnetic Shielding

A partly analytical method for calculating the magnetic field generated by coils in a closed magnetic shield is presented. The field distortion caused by the high-permeability boundary is analyzed by using the improved mirror method combined with a finite element method. This approach leads to an analytical solution which can be calculated much faster than a full FEM solution. By applying this model, we could calculate the optimal parameters for a four square-coil setup to produce the most homogenous magnetic field in the center of the Berlin magnetically shielded room (BMSR-2) with acceptable accuracy.