  We analyzed multimode Josephson junctions with exciton-polaritons
(polaritonic Josephson junctions) when several coupling mechanisms of
fundamental and excited states are present. The applied method is based on
Keldysh-Green function formalism and takes into account polariton pseudospin.
We found that mean value of circular polarization degree in intrinsic Josephson
oscillations and microscopic quantum self-trapping follow an oscillator
behavior whose renormalizes due to intermode interactions. The effect of an
additional transfer of particles over junction barrier occurring in multimode
approximation in combination with common Josephson tunneling is discussed in
regime of dynamical separation of two polarizations.
