Hybrid Finite Element/Boundary Element solutions of general two dimensional electromagnetic scattering problems

[摘要] ENGLISH ABSTRACT:A two-dimensional Coupled Element Method (CEM) for solving electromagneticscattering problems involving lossy, inhomogeneous, arbitrarily shaped cylinders,was investigated and implemented. The CEM uses the Finite Element Method(FEM) to approximate the fields in and around the scatterer and the BoundaryElement Method (BEM) to approximate the far-field values. The basic CEM theoryis explained using the special, static electric field problem involving the solution ofLaplace's equation. This theory is expanded to incorporate scattering problems,involving the solution of the Helmholtz equation. This is done for linear as well asquadratic elements. Some of the important algorithms used to implement the CEMtheory are discussed.Analytical solutions for a round, homogeneous- and one layer coated PC cylinder arediscussed and obtained. The materials used in these analytical solutions can be lossyas well as chiral. The CEM is validated by comparing near- and far-field results tothe analytical solution. A comparison between linear and quadratic elements is alsomade. The theory of the CEM is further expanded to incorporate scattering fromchiral media

[发布机构] Stellenbosch University