Surface resistance of type II-superconductors: effect of surface barrier

The value of the surface impedance of the superconducting plate in the mixed state is calculated. In the case, when the stable magnetic field is perpendicular to the plate surface, the real part of the impedance as the magnetic field function has its maximum, which constitutes the manifestation of the dimensional effect. The behavior of this maximum in dependence on the plate thickness and alternating field frequency is studied. The account for the Bean-Livingstone barrier by transition to the parallel geometry leads to formation of the nonvortex areas near the plate surface, which results in the surface resistance decrease and in the dimensional effect quenching