Magnetic response of the superconducting thin film

Based on the London theory, the supercurrent density and penetrating magnetic field in response to an applied perpendicular magnetic are calculated for a superconducting thin film (strip or disk). Using the method of the Hankel transform, the formulations for the supercurrent density and penetrating magnetic field are given in two limits: a much greater than Lambda and a much less than Lambda (a is the width of the superconducting thin film and Lambda is the effective screening length). From these formulations it is shown that the supercurrent density and penetrating magnetic field decrease by a power law with the distance from the edge of a superconducting thin film, unlike the exponential decrease in bulk superconductors. (C) 2000 Elsevier Science B.V. All rights reserved.