Electromagnetic properties of a new class of two-dimensional periodic nanostructured materials, sub-wavelength plasmonic crystals (SPCs), are investigated. An SPC is a periodic lattice of metallic inclusions with negative dielectric permittivity � 0, with the lattice period much smaller than the wavelength of light. It is found that two types of propagating electromagnetic waves are supported by SPCs: (a) scale-invariant modes whose dispersion relation is almost independent of the lattice period, and (b) scale-dependent narrow-band resonances whose dispersion strongly depends on the lattice period. The scale-invariant modes are accurately described using a frequency-dependent
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Shvets et al. (2005) studied this question.
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