A Two-Level CBFs Method Accelerated with FMM-FFT for Large Scale Periodic Arrays Modelling

摘要

To realize efficient analysis of large scale planar periodic arrays, a two-level characteristic basis functions method accelerated with fast multipole method -fast Fourier transform is developed in this paper. The characteristic basis functions for each element are constructed in a two-level framework, based on the construction combination of plane wave derivation for single element and local interaction for arrays. The number of unknowns is reduced significantly by the two-level characteristic basis functions. Further, fast multipole method-fast Fourier transform is applied to expedite the computation of interaction between elements. Numerical results for large scale planar periodic arrays are given to demonstrate the validity and efficiency of the present method.