Evaluation of Green´s function integrals in conducting media

For seamless surface-based broadband simulation, it is important to explicitly model the interior of conducting materials in order to avoid ad-hoc mixing of surface and volume based formulations. This paper focuses on broadband computation of lossy medium scalar, vector, and gradient Green´s function integrals for arbitrarily located sources and observers. We propose a polar-coordinate transformation and new mixed analytic and numerical quadrature for accurate evaluation of RWG function (S.M. Rao et al, IEEE Trans. on Ant. Prop., vol.30, p.409-418, 1982) based scalar, vector, and gradient Green´s function integrals in lossy conducting media in a form more general than other existing methods. The presented technique is broadband and applicable to any distribution of source and testing function locations and orientations and to any lossy material.