Modal Characteristic Basis Function Method for Solving Scattering From Multiple Conducting Bodies of Revolution

The analysis of scattering from multiple bodies of revolution (BoRs) has important applications in microwave remote sensing, radar imaging and other areas. For single BoR, three dimensional problem can be degenerated into 2.5 dimensional problem based on the modal Green functions (MGFs), reducing the solving time and storage remarkably. However, it is difficult to extend the MGF to multiple arbitrarily orientated BoRs. This paper presents a modal characteristic basis function method for solving the scattering from multiple BoRs. It combines the MGF of BoR with the characteristic basis function method, named as the BoR-CBF method. Here, the MGF of BoR is first applied to efficiently solve the current distribution on the surface of each BoR. The singular value decomposition is then used to construct the global modal characteristic basis functions (MCBFs) for each BoR. Finally, the MCBFs are transformed into the RWG basis functions using a basis function mapping technique so that the filling of the interaction matrix can be accelerated by the multi-level fast multipole algorithm. By using the BoR-CBF method, the scattering of multiple arbitrarily orientated BoRs can be solved efficiently. Numerical results are presented to demonstrate the accuracy and efficiency of the BoR-CBF method.