Hsj. Vandeerzant et al., RESONANCE MODES IN ONE-DIMENSIONAL PARALLEL ARRAYS OF JOSEPHSON-JUNCTIONS, Physica. B, Condensed matter, 194, 1994, pp. 1779-1780
We investigate both experimentally and numerically the dynamics of dis
crete one-dimensional parallel arrays of underdamped Josephson junctio
ns. In a magnetic field, measurements show steps in the current-voltag
e characteristics which are the discrete analogs of Fiske steps in a l
ong Josephson junction. From the position of the steps, one can constr
uct a plot of the dispersion relation omega(k). We observe a sine-depe
ndence in the dispersion relation due to the discrete nature of our ar
rays. We also observe an additional, smaller gap at a k-value determin
ed by the periodicity of the vortex lattice. Our measurements are supp
orted by numerical simulations of the full dynamics. The Fiske steps p
rovide an experimental method to measure the self-inductance of 1D par
allel arrays.