Efficient numerical analysis of curved conformal array

A parallel synthetic basis functions method (SBFM) is proposed for the efficient and accurate scattering analysis of curved conformal array. SBFM is an improved approach of classical method of moment (MoM). Based on geometric domain decomposition and synthetic basis functions, SBFM decreases the memory cost sharply which makes it possible to analyze large scale electromagnetic problems in a single PC. More importantly, for periodic structures, SBFM can achieve a rather efficient state which mainly attributes to: 1) synthetic functions constructed for one element can also be reused for others; 2) different decomposition parts can be simultaneously addressed in a parallel way. Finally, a 6×11 cylindrical patch array is used to validate the proposed approach, and the results show that, parallel SBFM can achieve the same level of accuracy with multilevel fast multipole algorithm(MLFMA). Besides, though efficiency of the proposed approach is slightly lower than MLFMA, memory cost of the proposed approach can be reduced in an order compared to MLFMA.