  In this paper, we report theoretical investigation on excitation of surface
plexciton wave at interface of a metal and a columnar thin film infiltrated
with J-aggregate dyes using transfer matrix method in Kretschmann
configuration. The results reveal the regime of the plasmon - exciton
interaction can change from weak to strong by tuning structural parameters. We
find Rabi splitting energies between 204 -378 meV corresponding to the time
period 11-20 fs which includes to the fast energy transfer from surface plasmon
polaritons to excitons. The phase speed and propagation length of surface
plexcitonic waves were in the range of 0.4 to 0.9c and 0.4 to 6 {\mu}m. The
time-averaged Poynting vector of surface plexciton waves shows the localization
of them at interface of plasmonic and excitonic mediums.
