Efficient Interaction Methodologies for Simulating the Scattering from Electrically Large Objects and Scenes

We intend to develop an efficient solution scheme applicable to numerical modeling of objects in large complex environments, which would provide an adequate accuracy at a cost significantly lower than rigorous solution methods based on state-of-the-art matrix compression methods (multilevel Fast Multipole Method (FMM) or Adaptive Integral Method (AIM)). During Phase I, we shall develop a self-contained software prototype, which will demonstrate the feasibility of the proposed approach. The algorithms and the software we propose to develop will make a significant advancement in the numerical simulation software for prediction of radar signatures and radiation patterns of object embedded in large, complex scenes. The proposed approach will overcome limitations of the conventional MoM as well as of the compressed (FMM-based, AIM-based) algorithms. The algorithms we propose will consist of the following elements: (i) a fast algorithm for the coupling between the substystem S_1 and the environment S_2 achieving its performance through the utilization of an asymptotic evaluation of the FMM-like translation operators and the full or partial parameterization of the environement in terms of basis functions defined on large supports (the proposed coupling scheme is general and can be implemented in the context of different multiple scattering expansions which were proposed in the past), (ii) implementaion of the fast coupling scheme in the context of a particular realization of rapidly convergent multiple scattering scheme based on a suitable arrangement/grouping of short-range and long-range interaction contributions.