Fast simulation technique for antenna installed on a finite ground plane

Abstract

An efficient spectral approach to compute the radiation pattern of an antenna installed on a rectangular finite ground plane itself lying on semi-infinite soil is presented. The rectangular ground plane is built using smaller rectangles such that the Method of Moments (MoM) matrix obtained for the ground plane is block Toeplitz. After some pre-computations, the inverse of the block Toeplitz matrix is decomposed as a sum of products of circulant matrices. The whole MoM system of equations is solved using the Schur's complement, enabling the use of the FFT for the circulant matrix-vector products. After that, the efficiency of the antenna (defined here as the fraction of the power radiated in the air to the power delivered at the feed of the antenna) is evaluated using a spectral approach. This quantity allows the determination of the noise on the antenna due to the presence of the soil.