A Hybrid Approach for Rapid Computation of Two-Dimensional Monostatic Radar Cross Section Problems With the Multilevel Fast Multipole Algorithm

• Published in: IEEE transactions on antennas and propagation 2012-12, Vol.60 (12), p.6058-6061
• Main Authors: Schroder, A., Brüns, H-D, Schuster, C.
• Format: Article
• Language: English
• Subjects: Acceleration; Accuracy; Adaptive cross approximation (ACA); Algorithms; Applied sciences; Approximation methods; Computation; Computational efficiency; Exact sciences and technology; Mathematical analysis; Matrix decomposition; method of moments (MoM); MLFMA; Moment methods; Multilevel; multilevel fast multipole algorithm (MLFMA); Radar cross section; radar cross section (RCS); Radar cross sections; Radiolocalization and radionavigation; Telecommunications; Telecommunications and information theory; Three dimensional; Two dimensional
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2012.2209858

This communication proposes a hybrid acceleration technique for the efficient computation of large two-dimensional monostatic radar cross section (RCS) problems with the multilevel fast multipole algorithm (MLFMA) for three-dimensional scattering objects. The described approach combines a spectral low-rank preconditioner with an efficient angular response computation based on a low-rank compression of the right-hand side matrix. In this communication the low-rank decomposition is done using the adaptive cross approximation (ACA), since conventional approaches are hardly applicable to large excitation matrices. The proposed technique turns out to be highly efficient and accurate for the solution of large 2D monostatic RCS problems involving 3D geometries.