A hybrid 2D/3D multilevel Green's function interpolation method for microstrip antenna array

A new implementation of the multilevel Green's function interpolation method (MLGFIM) is proposed to simulate the microstrip antenna array. A hybrid 2D/3D (H2D/3D) multilevel partitioning is devised for the specific problem, from which a quad-tree will be constructed. The radial basis function (RBF) interpolation method is adopted to perform the peer-level and lower-to-upper-level interpolation of the multilayered Green's function. The fast Fourier transform (FFT) is applied to accelerate the translation procedure at proper levels. With the proposed method, the full-wave simulation of the printed antenna array with hundreds of elements is realized on a personal computer.