  We study the optical properties associated to both the polariton gap and the
Bragg gap in periodic resonator-waveguide coupled system, based on the temporal
coupled mode theory and the transfer matrix method. By the complex band and the
transmission spectrum, it is feasible to tune the interaction between multiple
Bragg scattering and the local resonance, which may give rise to analogous
phenomena of electromagnetically induced transparency (EIT). We further design
a plasmonic slot waveguide side-coupled with local plasmonic resonator to
demonstrate the EIT-like effects in the near-infared band. Numerical
calculations show that realistic amount of metal Joule loss may destroy the
interference and the total absorption is enhanced in the transparency windwo
due to the near zero group velocity of the guiding wave.
