FLUXON MOTION IN ONE-DIMENSIONAL JOSEPHSON-JUNCTION ARRAYS

Current-voltage (IV-) characteristics of linear and annular discrete a rrays of underdamped small Josephson junctions with different values o f single loop inductances are calculated numerically and compared with those obtained for continuum long Josephson junctions. The resonances between the moving fluxon and the linear waves caused by the array di screteness induce steps on the IV-curve which do not exist in the cont inuum case. The voltage position of the steps is found to be in good a greement with the kinematic approach based on the Frenkel-Kontorova mo del. Our results show that in Josephson fluxon devices the discretenes s may lead to strong super-radiant emission of electromagnetic waves b y moving fluxons.