Intrinsic and effective microwave surface impedances of thin superconducting films in DC magnetic field

The intrinsic and effective microwave surface impedances for a thin type-II superconducting film in the low and parallel DC magnetic field are calculated. We consider the case where the thickness of superconducting thin-film, d, is less than the penetration depth, λ_L, and a row of vortices is present in the center plane of film. Firstly, we investigate the intrinsic surface impedance of a thin-film as a function of static field, film thickness, and radiation frequency as well. The contribution of the moving vortex chain to the intrinsic surface impedance will be numerically demonstrated. Next, we shall consider the resonant layered structure such as a superconducting thin-film deposited on a dielectric substrate and the resonant behavior in the effective surface resistance will then be examined in detail. The effect of vortex chain on the resonant phenomenon will be discussed and elucidated.