On Modeling Perfectly Conducting Sharp Corners With Magnetically Inert Dielectrics Of Extreme Complex Permittivities

TL;DR

This paper investigates replacing perfect conductors with extreme permittivity dielectrics to model sharp corners, providing a semi-analytical solution and analyzing the impact of material and geometric parameters.

Contribution

It introduces a semi-analytical approach to model perfectly conducting sharp corners using dielectric materials with extreme complex permittivities, offering insights into the method's effectiveness.

Findings

The dielectric model can effectively mimic perfect conductors at sharp corners.

Material parameters significantly influence the modeling accuracy.

Geometric features affect the boundary condition approximations.

Abstract

The idea of replacing an edgy perfectly conducting boundary by the corresponding interface filled with a dielectric material of extreme complex permittivities, is examined in the present work. A semi-analytical solution to the corresponding boundary value problems is obtained and the merit of the modeling has been checked. Certain conclusions for the effect of the constituent material parameters and the geometric features of the configuration on the model effectiveness, are drawn and discussed.