High effective autoregressive method has been applied to the calculation of
the oscillation line width for the promising phase-locked Josephson-juncti
on arrays. It has been found, that the oscillation linewidth decreases with
the number N of Josephson junctions propartionally to N for one-dimensiona
l arrays or even more fast for two-dimensional arrays until number N exceed
s the coupling radius. It has been shown that in the case of parallel array
inserted into superconducting microstrip line, the phase-locked oscillatio
n state in-phase could be provided by the strong interaction between Joseph
son junctions and electromagnetic standing wave regardless to applied magne
tic field. The necessary amplitude of the standing ware is easy attained at
McCumber parameter value beta>l, when the high-frequency Josephson-junctio
n impedance is small in comparison with the strip-line wave impedance. An e
xtra reduction in the linewidth caused by electromagnetic standing nave imp
act has also been studied. The results are discussed from viewpoint of the
possible applications of the structures as submillimeter wave generators.