DYNAMIC AND STATIC SHIELDING IN A RESISTIVELY SHUNTED JOSEPHSON-JUNCTION ARRAY

The current and field profiles of a uniform resistively shunted Josephson-junction array (JJA) are calculated from the AC and DC Josephson equations, Ampere's theorem, and gauge-invariant phase difference. After a sudden rise of the applied field, AC Josephson currents shield the interior of the JJA, which is followed by two distinct processes, ending with either an oscillatory DC current profile when the critical current I-0 of each junction is small or a critical-state type of current shielding when I-0 is large. The latter can be the basis for understanding the intergranular critical state in high-T-c superconductors.