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.
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