  We consider a 1D chain of fractional vortices in a long Josephson junction
with alternating $\pm\kappa$ phase discontinuities. Since each vortex has its
own eigenfrequency, the inter-vortex coupling results in eigenmode splitting
and in the formation of an oscillatory energy band for plasma waves. The band
structure can be controlled at the design time by choosing the distance between
vortices or \emph{during experiment} by varying the topological charge of
vortices or the bias current. Thus one can construct an artificial vortex
crystal with controllable energy bands for plasmons.
