Geometrical transformation of bodies of arbitrary cross-section for numerical computation

A mode discretization approach is used to study objects of arbitrary cross section but having certain planes of symmetry. To investigate such a geometry the cross section of the object is conformally transformed into a new space which eliminates the existing discontinuities of the object´s cross section. The Jacobian of the transformation contains the singularity of the current, which exists at the edges of the object. The surface current is then expanded as an auxiliary current in the new coordinate system as a function of the angular variable of the new coordinate. Rotationally symmetric objects are selected to test the validity of the formulation. The method is then applied to investigate the radar cross section of objects of square cross section such as square plates and cubes.<>