EXACT SOLUTION APPROACH IN ANALYSIS OF RESONANCE PROPERTIES OF 2-DIMENSIONAL DISSIPATIVE SUPERCONDUCTIVE JOSEPHSON LATTICE

Electromagnetic and superconducting properties are considered in super conducting films separated by thin oxide interlayers (the so-called su perconductive lattices with microstructure). Using the planar X-Y mode l for superconductive lattices and taking account of dissipative effec ts of superconductive layers, we obtain a decomposition of current sin gularities in the dc current-voltage characteristics. Analytical funct ions are obtained, and an analysis is made of the hyperfine decomposit ion structure of current peaks in accordance with the number n of laye rs and also in accordance with the determined omega(0), omega(1), omeg a(2), the eigenmodes which are determined by two-dimensional Josephson resonators. A complex spectrum of current peaks in the de current-vol tage characteristics is shown in our analysis. The growth of the numbe r m(1) of satellites from the principal peak with increase of the numb er n of layers is observed. For some large number n = n of layers the re is a tendency to an asymptotic saturation of the total number of sa tellites. In particular, the phenomenon of single peaks is observed fo r some intermediate number n = n(k) of layers. In this case we have an intermediate layer, which shows the character of a one-dimensional lo ng Josephson line. In the general case we can change parameters (n, om ega(0), omega 1, omega(2)) to get various properties in the de current -voltage characteristics. Hysteresis is obtained for some values of th e parameters. The characteristics defined through the exact solutions of the ''non-Josephson'' generation of the fluxon lattice, I-n = I-n ( [V]), are presented.