The Macro Basis Functions (MBF) approach receives increasing attention for the evaluation of the effects of array truncation. In this paper, we show how physically based MBFs can be obtained from solutions for infinite arrays and for arrays of minimal size. The method is first explained and illustrated for the case of finite-by-infinite arrays of electrically connected tapered-slot antennas. It is then extended to the case of planar arrays. Very low error levels are achieved with a small number of MBFs, in terms of port currents as well as in terms of radiation patterns.
Craeye, C., & Sarkis, R. (2008). Finite Array Analysis Through Combination of Macro Basis Functions and Array Scanning Methods. Applied Computational Electromagnetics Society Journal, 23(3), 255-261. https://hdl.handle.net/2078.5/41527 (Original work published 2008)