INDUCTIVE CUBIC NETWORKS OF JOSEPHSON JUNCTIONS

Roberto De Luca, University of Salerno.

The electrodynamic properties of cubic networks of Josephson junctions 
are studied by means of a combined analytic and numerical procedure.
The full inductance matrix for the system is taken into account and
the dynamical equations for the phase differences across the junctions
are written in a compact matrix form. The general properties of the 
resulting non-linear coupled differential equations are analyzed. In
the presence of an externally applied magnetic field and of a
bias current, injected from one vertex of the cubic network and drawn
from a different one, the system is seen to show different responses
depending on the amplitude of these forcing quantities and, in 
particular, on the magnetic field direction. This simple inductive 
network of Josephson junctions is thus proposed as a candidate for 
a vectorial magnetic field sensor model.