A more efficient computational procedure for calculating the critical current of a multijunction superconducting interferometer
Abstract
The textbook procedure for the solution of the critical current of an Njunction superconducting interferometer is a 2N1 dimensional steepest descent problem. A solution by this procedure is complicated by the existence of multiple local minima. The equations are reformulated to reduce the problem to a threedimensional steepest descent problem. From this reduced equation set, a nonsteepestdescent procedure is developed. This technique produces a solution by adjusting a trial critical current value until tangency between a straight line and a special error function is achieved. For a 10junction test case, an 80to1 reduction in computer time was achieved.
 Publication:

IEEE Transactions on Magnetics
 Pub Date:
 March 1985
 DOI:
 10.1109/TMAG.1985.1063617
 Bibcode:
 1985ITM....21..648L
 Keywords:

 Critical Point;
 Electric Current;
 Interferometers;
 Josephson Junctions;
 Steepest Descent Method;
 Superconductors;
 Computerized Simulation;
 Convergence;
 Lagrange Multipliers;
 Network Analysis;
 Run Time (Computers);
 VoltAmpere Characteristics;
 Electronics and Electrical Engineering