This article considers an analytical approach to the description of the electrodynamic interaction of Josephson junctions in a parallel array. Such an analysis is necessary for the design of differential cells of superconducting quantum arrays and active electrically small antennas based on them. Estimates of the required number of elements in a parallel array of Josephson junctions are presented.
$^1$Department of Atomic Physics, Plasma Physics and Microelectronics, Faculty of physics, Lomonosov Moscow State University, chair of Atomic Physics, Plasma Physics, and Microelectronics.
$^2$Центр квантовых технологий МГУ имени М.В.Ломоносова