The processes of interaction of microwaves (frequency f(c) = 30-55 GHz
) with a single high-T-c superconducting YBa2Cu3Ox (YBCO) bi-epitaxial
grain-boundary junction and with an array of two junctions connected
in series, have been investigated experimentally at temperatures T = 4
.2- 77 K, and magnetic fields B = -0.4 to +0.4 mT. The results obtaine
d experimentally were used as the input data for computer simulation w
hich confirms the hypothesis that the current through the grain-bounda
ry junction is transported by a parallel array of lumped Josephson jun
ctions. This model for a grain-boundary junction explains the observed
unusual magnetic field dependence of the critical current I-c(B), and
the deviations of dynamic processes from the predictions of the well
known resistively shunted junction (RSJ) model: the existence of large
amplitude subharmonic (n = 1/2, 3/2,...) Shapiro steps, as well as th
e subharmonic detector response at weak magnetic fields Phi < Phi(0).
We also discuss the spectrum of this junction in connection with the h
alf-integer Shapiro steps, and experimentally observed microwave field
induced frequency synchronization of two series connected bi-epitaxia
l YBCO junctions.