Matrix compression techniqes for large arrays: synthetic local and global functions

Innovative approaches are presented for the computational simulation of planar array antennas. They are based on the integral-equation (IE) formulation at large, and consistently employ synthetic local and global basis functions. The local basis function are provided by the full-wave solution of a reduced problem of small size, but with the same local boundary conditions and relevant IE. The global basis function are indeed provided by asymptotic solutions of a canonical array. Numerical examples are shown, which demonstrate the efficiency and accuracy of the proposed methods for patch arrays and open ended waveguide arrays.