Numerical study on a photonic crystal waveguide that includes a dispersive metamaterial

In this work we consider an electromagnetic system composed of two flat perfectly conductor surfaces and a periodic array of circular inclusions forming a photonic crystal waveguide. A numerical integral method was applied to determine the band structure of the system and the intensity of field of its electromagnetic modes. We found that the variation of the filling fraction allows to control at a certain degree the photonic band structure of the system. We also found interesting band structures that contain regions of nearly zero-dispersion and bandgaps. Although initially we considered that the medium inside the waveguide is vacuum, we also discuss the case of a dispersive metamaterial medium. Some numerical results show the presence of a plasmonic surface mode in the proposed system for TE polarization.