General entire-domain method for analysis of dielectric scatterers

A novel, entire-domain method is proposed for the analysis of dielectric scatterers of arbitrary geometry, made of an inhomogeneous lossy dielectric. The scatterer is modelled by arbitrarily large trilinear hexahedrons. Each trilinear hexahedron is completely defined by its eight vertices, which can be positioned in space arbitrarily. The equivalent electric displacement vector is approximated by 3D polynomials in local (generally nonorthogonal) co-ordinates satisfying automatically the continuity condition for its normal component over shared sides of hexahedrons. The unknown current coefficients are determined by a Galerkin solution of the volume two-potential integral equation. The method is very accurate, efficient and reliable, enabling the analysis of up to electrically medium-sized dielectric scatterers on even standard PCs. Numerical results are in excellent agreement with the results obtained by available methods. However, the proposed method requires fewer unknowns (for at least an order of magnitude), and consequently very much reduced CPU time when compared with the existing, subdomain methods.