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This is the second part in a series of two papers that concern with thequantitative analysis of the electromagnetic field enhancement and anomalousdiffraction by a periodic array of subwavelength slits. In this part, weexplore the scattering problem in the homogenization regimes, where the size ofthe period is much smaller than the incident wavelength. In particular, twohomogenization regimes are investigated, where the size of the pattered slitshas the same order as the size of the period in the first configuration, andthe size of the slit is much smaller than the size of the period in the secondconfiguration. By presenting rigorous asymptotic analysis, we demonstrate thatsurface plasmonic effect mimicking that of plasmonic metals occurs in the firsthomogenization regime. The corresponding dispersion curve lies below the lightline and the associated eigenmodes are surface bound sates. In addition, forthe incident plane wave, we discover and justify a novel phenomenon of totaltransmission which occurs either at certain frequencies for all incidentangles, or at a special incident angle but for all frequencies. For the secondhomogenization regime, the non-resonant field enhancement is investigated, andit is shown that the fast transition of the magnetic field in the slit inducesstrong electric field enhancement. Moreover, the enhancement becomes strongerwhen the coupling of the slits is weaker.

Scattering by a periodic array of subwavelength slits II: surface bound state, total transmission and field enhancement in homogenization regimes