Vortex magnetic induction: Mathematical, geometric and experimental characterization.

Some current energy transfer modules and magnetic stimulation systems with vortex fields are mostly composed of a Rodin coil. It has been hypothesized that the most significant changes in the biological system stimulated with vortex magnetic fields are related to the type of field lines and its magnetic field gradient. Therefore, characterizing the vortex magnetic field produced inside this coil and defining the behavior of the field gradient is necessary to take full advantage of its efficiency. The theoretical Biot-Savart law for this coil geometry is discussed in this work, and the magnetic induction lines are characterized. Magnetic field modeling is done with the finite element method; the above processes are correlated with the register of the magnetic field of the Rodin performed with a three-dimensional magnetometer. Furthermore, the results obtained with Rodin coil stimulation are compared with those obtained with Helmholtz coil stimulation of a similar biological system. The effect is widely evident in the first case.