Solving Scattering From Multiple Bodies of Revolution by Modal Characteristic Basis Function Method With Sparse Matrix Technique

Abstract

Modal Characteristic Basis Function method for bodies of revolution (BoR-CBFM) is a fast solver for scattering from multiple BoRs. By using of BoR-CBFM, the modal characteristic basis functions (MCBFs) are constructed, and the size of impedance matrix is greatly reduced. However, the matrix filling, especially the filling of mutual-interaction matrix, is still a huge burden for numerical computation. To further enhance the efficiency of BoR-CBFM and reduce the cost of matrix filling, we present a sparse technique for BoR-CBFM. Through this technique, those weak elements in mutual-interaction matrix that contribute little to the linear system are neglected, and a sparse impedance matrix is achieved. As a result, this technique leads to a reduction on the cost of matrix filling. Numerical results are presented to prove the efficiency of this technique.