Electromagnetic Scattering by a Finite Metallic Circular Cylinders Set

TL;DR

This paper presents a theoretical model for electromagnetic scattering by finite sets of metallic circular cylinders, incorporating finiteness and coupling effects, with validated numerical experiments showing high efficiency and accuracy.

Contribution

It introduces a novel closed-form model for finite metallic cylinders that accounts for electromagnetic coupling and finiteness, significantly reducing computational time.

Findings

Model is valid for long cylinders and various radii.

Computational times are 100,000 times shorter than full-wave simulations.

Model maintains accuracy with reduced computational cost.

Abstract

The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic circular cylinders. A model which takes into account both the finiteness of the cylinders and their electromagnetic coupling is provided. The total field is written in a two dimensional problem in terms of cylindrical harmonics and is used to define current densities which are integrated in a three dimensional problem. The finiteness is taken into account assuming current densities that are identical from those of the two dimensional problem. Coupling effects are naturally taken into account via the matrix formulation of the boundary condition that binds together the cylindrical harmonic coefficients. The proposed closed-form is valid for great cylinder lengths and any cylinder radii. Numerical experiments are also provided in various configurations in order to evaluate the accuracy of the model. The model computational times happens to be 5 orders of magnitude shorter than a full-wave reference simulation, without significant loss of accuracy.