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.