Analytically Regularized TE-scattering from Ensembles of Slotted Cylinders

Scattering of electromagnetic waves by an ensemble or cluster of infinitely long, perfectly electrically conducting (PEC) cylinders of arbitrary cross-section has many current and potential applications. Transmission lines, cable bundles and similar structures provide examples where modelling by closely coupled closed cylinders is relevant; determination of the properties of closely coupled slotted cylinders (i.e., with a cavity-backed aperture) possessing sub-wavelength structures underpins the design of metamaterials for use as absorbers and band-pass devices or wave-guiding structures. Determination of the radar cross-section of larger ensembles of cylinders, either open or closed, underpins (particularly in the resonance region) target identification algorithms when the contribution from such ensembles dominates the scattering response.