Cylindrical, periodic surface lattice — theory, dispersion analysis, and experiment

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A two-dimensional surface lattice of cylindrical topology obtained via perturbing the inner surface of a cylinder is considered. Periodic perturbations of the surface lead to observation of high-impedance, dielectric-like media and resonant coupling of surface and non-propagating volume fields. This allows synthesis of tailored-for-purpose "coating" material with dispersion suitable, for instance, to mediate a Cherenkov type interaction. An analytical model of the lattice is discussed and coupled-wave equations are derived. Variations of the lattice dispersive properties with variation of parameters are shown, illustrating the tailoring of the structure's electromagnetic properties. Experimental results are presented showing agreement with the theoretical model.

Original languageEnglish
Article number121111
Number of pages5
JournalApplied Physics Letters
Issue number12
Early online date20 Sep 2012
Publication statusPublished - Sep 2012


  • Cherenkov radiation
  • lattice constants
  • periodic structures

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