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

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...

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Bibliographic Details
Published in:Applied physics letters 2012-09, Vol.101 (12)
Main Authors: Konoplev, I. V., MacLachlan, A. J., Robertson, C. W., Cross, A. W., Phelps, A. D. R.
Format: Article
Language:English
Subjects:
Cylinders
Dielectrics
Dispersions
Joining
Lattices
Mathematical analysis
Mathematical models
Perturbation methods
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Summary: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.
ISSN:0003-6951
1077-3118
DOI:10.1063/1.4754572