Electromagnetic guided waves on infinite and finite periodic linear arrays of thin metallic wires

Guided electromagnetic waves propagating along one-dimensional arrays of thin metallic wires are studied. The cylinders are assumed to be perfectly conducting, and their length is of the order of the wavelength, and the radius of the wire is much less than the wavelength. The quasi-periodic wave field is constructed as a superposition of vector wave fields irradiated by linear electric currents and then applying the boundary condition leads to an infinite system of real linear algebraic equations. The approach makes extensive use of a well-known numerical analysis of method of integral equations in two different forms of Pocklington and Hallen integral formulations to make a comparison between results. The vanishing of the determinant of the associated infinite matrix provides the condition for guided waves to exist and these are determined numerically after truncation of the infinite system. Dispersion curves are presented for three lowest known complex resonances of a single thin vibrator. In the second part of the work we study resonance properties of excitation of a finite array of parallel thin wires applying numerical analysis of method of integral equations in two different forms of Pocklington and Hallen integral formulations. We compare numerical results obtained on the basis of this integral formulations with data computed using the electromagnetic module of COMSOL Multiphysics.