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The impact of local resonance on the enhanced transmission and dispersion of surface resonances

We investigate the enhanced microwave transmission through the array of metallic coaxial annular apertures (MCAAs) experimentally and theoretically. The even-mode and the odd-mode surface resonances are clarified from the spatial field distributions and the dispersion diagram. The impact of local resonance is thoroughly embodied in the even-mode surface resonant states, while the odd-mode surface resonances are scaled by periodicity, invariant to different local geometry of the unit cell, and invisible in measurements. The enhanced transmission is the collective selections on the interplay between the local resonances and the evanescent Bloch wave channels on the surface. Transmission measurements for different inner diameter of the apertures show that the transmissivity extrema with respect to the specific angles precisely correspond to the degenerate points in the dispersion diagram of surface resonances.