Mathematical modeling of the nonlinear response of a short hard superconductor cylinder

The article describes a mathematical model of the response of a disk-shaped hard superconductor to an applied external harmonically modulated magnetic field. According to Kim model and in approximation of magnetic field screening in the sample center the authors have calculated hysteretic magnetization curves, the first and higher harmonics of magnetization. The results of calculations are compared with data of previously performed experiments on polycrystals of high-temperature superconductor.