Electromagnetic hysteretic response calculation for superconductors in demagnetizing geometries
Abstract
A method has been outlined for calculating the flux front profile for a superconducting sample in either a uniform or nonuniform applied magnetic field possessing azimuthal symmetry. This technique relies upon finding a surface with zero vector potential. This surface is determined by simple integration of its derivative with respect to the external field, found by resolving a linear integral equation of the first kind. Measurement induced voltages and the entire hysteresis loop response can be found by extension of the ZFC magnetization response with increasing external field. Other experimentally measured quantities relating to the critical state can be calculated directly from the hysteresis loop if the time dependence of the external field is known. The technique shown in this report for solving the critical state model in the Bean approximation can be extended to fielddependent critical currents and other azimuthally symmetrical external fields. This work is presently in progress.
 Publication:

Presented at the 1994 Review of Progress in Quantitative Nondestructive Evaluation Conference
 Pub Date:
 1994
 Bibcode:
 1994pqne.rept.....K
 Keywords:

 Azimuth;
 Demagnetization;
 Electric Potential;
 Hysteresis;
 Integral Equations;
 Linear Equations;
 Nonuniform Magnetic Fields;
 Superconductivity;
 Superconductors (Materials);
 Symmetry;
 Amount;
 Derivation;
 Magnetization;
 Resolution;
 Time Dependence;
 Electronics and Electrical Engineering