A Ferromagnetic Resonance Numerical Computation Method of Ferromagnetic Nano-Sphere

We have studied the approach for dynamic micromagnetic equilibrium conditions (Brown’s equations) in terms of nucleation theory provide micromagnetic solutions for linearized forms of the equilibrium equations. We focus on the case of ferromagnetic resonance here described for a ferromagnetic sphere with uniform magnetization and with no losses. With the linear approximation we have derived uniform and symmetric resonance mode to the micromagnetic equations describing the dynamic properties of the near single-domain states by ignoring the magnetostatic potential gradient in symmetric case. Moreover, using numerical integration solution to calculate exchange and magnetic energy, both resonance modes are proved to be effective approximate solution of Brown’s equations in the nanometer range.