Wm. Sun et Ca. Balanis, EDGE-BASED FEM SOLUTION OF SCATTERING FROM INHOMOGENEOUS AND ANISOTROPIC OBJECTS, IEEE transactions on antennas and propagation, 42(5), 1994, pp. 627-632
This paper presents an application of the edge-based vector finite ele
ment method to scattering problems of anisotropic and inhomogeneous ob
jects. Based on conventional FEM functional, a hybrid finite element-s
urface integral formulation is established by introducing permittivity
and permeability tensors. The space domain is divided into interior a
nd exterior regions by an imaginary surface conformal to the scatterer
. Edge vector finite elements are used to model the anisotropic and in
homogeneous interior, and a surface integral equation is used to model
the unbounded exterior. Compared to other hybrid techniques, the appr
oach here retains the symmetry and sparsity of the FEM matrix and intr
oduces only one type of unknown equivalent current in the moment matri
x equation. To validate the theory, typical 2-D numerical results are
first presented, which show excellent agreement with exact eigenmode e
xpansion solutions or accurate MoM data.