Abstract
We investigate collective modes in metallic photonic crystals with subwavelength grooves. A large number of frequency branches appear for TE polarization, which possess similar dispersion features of surface plasmons that occur in plasmonic structures. These modes are dispersionless in nature and intensively gathered around an asymptotic frequency that depends solely on the groove height. The typical collective modes are illustrated with the localized magnetic field patterns at the resonant frequencies. In particular, the field distribution in each groove shows a close resemblance to the ${\text{TE}}_{n0}$ mode of an open-ended waveguide. The respective cutoff frequency serves as the asymptotic frequency of collective modes.
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