Currents induced on a finite superconducting cylinder

Author

Wilson, H.S.

Author_Institution

Defence Res. Establ. Pacific, FMO Victoria, BC, Canada

Volume

30

Issue

2

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

177

Lastpage

188

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

Keywords

SQUIDs; boundary-elements methods; current density; inductance; integral equations; magnetometers; splines (mathematics); superconducting devices; surface potential; SQUID magnetometer design; axial fields; boundary-integral method; cubic-spline approximation; finite superconducting cylinder; induced currents; induced dipole moments; induced octupole moments; kinetic inductance; numerical solution; scalar potential; superconducting finite circular cylinder; surface current density; surface integral; transverse fields; uniform external magnetic field; Boundary conditions; Current density; Engine cylinders; Integral equations; Magnetic fields; Magnetic flux; Magnetic liquids; Magnetic materials; SQUID magnetometers; Superconductivity;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312256

Filename

312256