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

Abstract

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 multilevel 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.Index Terms-Electromagnetic scattering, modal Green's functions (MGFs), mode orthogonality, multiple bodies of revolution (BoRs), singular value decomposition (SVD).

Domain decomposition method for scattering from multiple bodies of revolution

“…To realize fast computation of the coupling between subregions, a basis function mapping technique (BFMT) [5] is used. Here, RWG basis function [6] is chosen as the mapping basis function because of its extensive application in almost MoM.…”

“…The equivalence principle algorithm(EPA) has been applied to analyze the scattering from multiple BoRs by Ting Su and Rushan Chen [4]. A fast method based on characteristic basis functions (CBFs) was developed by us for scattering from multiple BoRs [5].…”

Efficient Algorithm for Scattering by a Large Cluster of Moving Objects

“…In [7], the characteristic basis function method (CBFM) was used to analyze the scattering by two dimensional multiple PEC elliptical cylinders and square cylinders. In [8], the characteristic modal Green function was introduced for analysis of scattering by multiple bodies of revolution. A domain decomposition method (DDM) for analyses of radiation and scattering from multiple objects can be found in [9].…”