Mathematical modeling of the distribution of screening current and magnetization hysteresis of the hard type II superconductors in the form of short cylinders in Bean approximation

Work finds simple analytic dependence of distribution of screening superconducting current and calculates magnetization within restriction of Bean model and taking into account the curvature of the magnetic field lines for hard type II superconductors in the form of finite length cylinders and discs (tablets). On the basis of the found distribution were calculated total magnetic field intensity and magnetic hysteresic loop for these samples in different cases.