Magnetostatic modes in a Purely Conductive Material@Ferromagnetic (Core@Shell) spherical structure

In the present work we study the dispersion relation of magnetostatic modes in the spherical core@shell structure of purely conductive material (PCM) as core and soft ferromagnetic (FM) as shell. The PCM is a sphere of radius r1 covered by an FM shell of inner radius r1 and outer radius r2. To solve the equation, a transformation of the Walker equation in the FM region based on the solution proposed by Plumier was performed. The obtained solutions are consistent with those obtained by approximate methods proposed in the literature. [Display omitted] •Magnetostatic modes in Purely Conductor@Ferromagnetic structure were determined.•The Plumier’s solution was important for comparisons.•The solutions are compatible with those of the hollow sphere problem.