Abstract
AbstractIt has been difficult to compute the band structures of metallic photonic crystals for H‐polarization. The existence of surface plasmon modes is the major reason for difficulty due to the localized nature of these modes. In this study, by virtue of the efficiency of the newly developed Dirichlet‐to‐Neumann map method, we are able to investigate the details of the flat bands in a two dimensional square lattice with metallic cylinders. We have obtained fine band structure for H polarization around the flat band region which has not been reported to the best of our knowledge. Our numerical results show that for the frequency around the surface plasmon, the modes are highly localized at the interface of the cylindrical metallic rods and air background and also by approaching the modes to the surface plasmon frequency the localization length decreases and the number of field's nodes increases considerably. (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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