Magnetization of Uniaxial Cylindrical Thin Films

An analysis is given of the magnetization of a cylindrical thin film exhibiting a uniaxial anisotropy in the circumferential direction. The magnetization and demagnetizing fields are derived for the cylinder where the magnetization is not uniform. The derivation is accomplished by dividing up the cylinder into a large number of uniformly magnetized, coaxial cylindrical regions in superposition and by integrating their individual contributions. Some applications of the derivation are shown for several specified field geometries. The technique of superposition may be applied to other film geometries.