General Entire-Domain Galerkin Method for Electromagnetic Modeling of Composite Wire and Plate Structures

Geometry modeling of wires and plates is performed by using curvilinear cylinders of variable radii and curved curvilinear rectangles and triangles. Current modeling is performed by using entire-domain approximations, which satisfy continuity equation at wire and plate ends and junctions. Unknown coefficients of these approximations are determined by solving EFIE by means of Galerkin method. In special cases this method degenerates into those of Newman and Pozar [1], Glisson and Wilton [2], or Rao et al [3]. Starting from the proposed theory various new methods can be constructed. The results obtained by a particular form of the method proposed, based on application of conical and bilinear surfaces and polynomials, show a good agreement with experimental and theoretical data. In the case of long wires satisfactory results are obtained with only 3 unknowns per wavelenght (¿), and in the case of large surfaces of simple shapes with only 10 unknowns (for both current components) per ¿2.