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

Konoplev, I. V. and MacLachlan, A. J. and Robertson, C. W. and Cross, A. W. and Phelps, A. D. R. (2012) Cylindrical, periodic surface lattice — theory, dispersion analysis, and experiment. Applied Physics Letters, 101 (12). 121111. ISSN 0003-6951 (

[thumbnail of Cylindrical, periodic surface lattice—Theory, dispersion analysis,] PDF. Filename: ApplPhysLett_101_121111.pdf
Final Published Version

Download (1MB)


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.


Konoplev, I. V., MacLachlan, A. J. ORCID logoORCID:, Robertson, C. W. ORCID logoORCID:, Cross, A. W. ORCID logoORCID: and Phelps, A. D. R. ORCID logoORCID:;