Charge densities and inclination angles of magnetization on various surfaces of rotational symmetry

We have investigated the magnetization characteristics of rotation-symmetrical magnetic bodies in a uniform magnetic field parallel to the axis of rotation. The bodies considered here include a cylinder (η=0), a sphere (η=1), a bicone (η=2), and a rotating astroid (η=3), where η is the power index. The surface magnetic charge densities σ for the bodies of 0<η≤3 are numerically calculated by the surface magnetic charge simulation method. The results are illustrated for the various values of η. If the shape approaches the cylinder, σ concentrates near the edge and takes a peak value there. If the shape approaches the bicone, σ concentrates near the tip (the point cusp) and takes a peak value there. To make clear the relationship between magnetization characteristics and shape, the inclination angles of magnetization on the surface of magnetic body are numerically obtained by using σ. From these results, we can investigate the local magnetization directions on the surface of the magnetic bodies in detail.