Fast magnetic field simulation with linear system approach

In this research, we propose a noble methodology for modeling and simulation of the intensity and direction of the magnetic fields generated by coils in a limited 3-dimensional region. This method was strictly based on the Biot-Savart's law determining the magnetic fields induced by currents flowing through the coils. We also used Finite Element Method (FEM), a numerical technique for finding a solution for each subdivision of a whole domain within the regions of interest. Based on the introduction of rotational transform method for an arbitrary axis, this method possesses a strong analysis capability for the magnetic fields in the vicinity of the coil at an arbitrary position in 3-dimensional region. In addition, a linear calculation system adopted in the simulation process was able to carry on high-performance analysis for the magnetic fields generated by even multiple coils. We strongly propose that this noble method would be a powerful simulation tool for the design of a system that can generate magnetic fields within a 3-dim region of interest considering both the intensity and direction.