A Fast Quasi-Periodic Arrays Analysis Method Based on the Theory of Characteristic Modes

Using the conventional method of moments (MoM) to analyze quasi-periodic arrays requires performing a full-wave analysis on the entire array which will cause large computation consumptions. In this paper, we use the theory of characteristic mode (TCM) to analyze the quasi-periodic array. By extracting the characteristic modes from the reference element, a matrix equation much smaller than the conventional MoM can be obtained. Furthermore, to accelerate the assembly of impedance matrix, we perform the affine decomposition on the Green's function to separate the geometric information from impedance matrix. Finally, numerical results validate the accuracy and efficiency of our method.