Parametric properties of SQUID lattice arrays

Josephson junctions incorporated into microcircuit SQUIDs have many uses including digital logic and memory, parametric amplification, signal generation, and analog to digital conversion. Combining SQUIDs into coherent arrays can preserve these functions and add great flexibility in selecting power and impedance. We have investigated such general properties of the SQUID lattice array as the mode structure, dispersion relations, and stability. In particular, one unique antisymmetric mode is shown to precisely reproduce the performance of a single rf SQUID, with increased power and impedance. The application of this mode to parametric amplification has been demonstrated analytically and numerically, projecting a useful low noise amplifier with a gain of 10dB at 16% bandwidth.