  The electromagnetic scattering from interconnections of high-permittivity
dielectric thin wires with sizes smaller than (or almost equal to) the
operating wavelength is investigated. A simple lumped element model for the
polarization current intensities induced in the wires is proposed. The circuit
elements are capacitances and inductances between the wires. An analytical
expression for the induced polarization currents in terms of the
magneto-quasistatic current modes is obtained. The connection between the
spectral properties of the loop inductance matrix and the network's resonances
is established. The number of the allowed current modes and resonances is
deduced from the topology of the circuit's digraph. The coupling to radiation
is also included, and the radiative frequency shifts and the quality factors
are derived. The introduced concept and methods may find applications both at
the microwaves and in nanophotonics.
