A simple Nystrom approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies

In this work, an original boundary-integral-equation (BIE) approach is developed for an efficient and accurate electromagnetic analysis of arbitrarily shaped three-dimensional (3D) conducting and dielectric structures. A suitable analytical pre-processing on the field integral representation leads to a reduction of the singularity degree of the kernels and allows a straightforward implementation of the Nyström method, based on a direct discretization of the surface integrals by means of two-dimensional (2D) quadrature formulas. This approach presents attractive computational advantages, mainly related to the very simple determination of the matrix elements in the resulting linear system. Various numerical results have been derived for canonical 3D shapes to validate the proposed implementation, confirming the excellent features of versatility and accuracy of this numerical tool.