Abstract

This note presents a complete numerical solution for the currents induced on the surface of a superconducting finite circular cylinder by a uniform external magnetic field. The problem is solved using the boundary-integral method to find a cubic-spline approximation to the scalar potential on the cylinder surface. Both axial and transverse fields are considered. The results of the calculations are presented as graphs of the surface current density, the induced dipole and octupole moments, and the surface integral related to the kinetic-inductance. The solutions for the potentials and surface currents are also presented as tables. Two examples are given to show the application of these results to SQUID magnetometer design.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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