Efficient computation of the scattering cross sections of large planar microwave structures using SVD-PML-MLFMA

Large planar microwave structures, such as frequency selective surfaces and reflectarrays, are of practical use in many applications. These structures' scattering cross sections are of great interest to the design engineer. In the work Ginste et al. (2006) a perfectly matched layer based multilevel fast multipole algorithm (PML-MLFMA) was presented to accelerate the classical method of moments (MOM) for planar microwave configurations and to reduce its memory requirements. In this paper,the authors proposed a technique that reduces the memory requirements and the solving time even further. Making use of the low- rank property of the PML-MLMFA's multimodal aggregation and disaggregation matrices, a careful implementation of singular value decompositions (SVDs) allows to store and to solve the planar structures' linear MOM-system very efficiently