A numerical solution for electromagnetic scattering from large conducting bodies by using analytically-derived characteristic basis functions

A novel technique for an efficient and rigorous solution of electromagnetic scattering problems is presented. It is based on the use of the Characteristic Basis Functions (CBFs), which include some of the features of asymptotic solutions into a Galerkin-type numerical matrix method. The basis functions are used to construct a matrix equation by imposing the boundary conditions on the scatterer in a numerically rigorous way (a feature unavailable to asymptotic methods). This approach allows us to address problems exhibiting electrically large geometries with a high computational gain, both in terms of time and memory. Moreover, the CBF method here presented can be easily extended to the case of complex objects by a proper combination with the Rao, Wilton and Glisson (RWG) basis functions.