Magnetization of type-II superconductors in the form of short cylinders and the screening supercurrent distribution in the Bean model

The simplest analytical form of the screening supercurrent distribution is found, and the magnetization of type-II (hard) superconductors in the form of finite-length cylinders and disks (pellets) is calculated. Calculations are carried out in terms of the Bean model taking into account the curvature of magnetic field lines. From this distribution, the total magnetic field intensity and the magnetization hysteresis loop are calculated for such samples in different cases.