A Fast Micromagnetic Simulation Using Magnetic Potentials

A fast simulation program was constructed that solves the Landau-Lifshitz-Gilbert equation and in which the demagnetizing field is derived from magnetic potentials within the magnetic material. The Poisson and Laplace equations are solved iteratively to obtain the potentials. The initial values for iteration are predicted by using the values at previous time steps. The process of magnetization switching of a square prism in the curling mode is simulated to demonstrate the capability of the program and the validity of its results. The derived program was found to have a computational speed some 20 times faster than that of a similar program based on conventional calculations of the demagnetizing field when the computing region consists of 30×30 cells.