Coupled electromagnetic-micromagnetic simulations of complex magnetic structures

We present a fast time domain simulator, which solved coupled nonlinear Maxwell-Landau-Lifshitz-Gilbert equations for the analyses of magnetization dynamics and electromagnetic fields in complex magnetic materials and devices. A double integral operator (DIO) formulation is proposed for calculating eddy current (EC) induced magnetic field (IMF). Assisted by efficient Jacobian-vector multiplications, a differential-algebraic equation solver was implemented for non-linear time stepping. The solver is accelerated by a parallel non-uniform fast Fourier transform method with a computational complexity of O(NlnN) for N mesh elements. Analysis of magnetization dynamics in magnetic structures validates the introduced method.