Numerical simulation of the response of a superconducting film to an alternating magnetic field and the estimation of the possibility of determining the London penetration depth

Abstract

In this paper, we present a descriptive “electrotechnical” model for calculating the distribution of induction currents in a superconducting film near which a measuring coil inducing a local alternating low-frequency magnetic field is placed. The change in the coil inductance, caused by a superconductor with a set London penetration depth of a magnetic field is calculated within the model. The possibility of determining the penetration depth from experimental data is shown; the sensitivity of the proposed approach for films of various thicknesses and various problem configurations is considered.