Fast Frequency and Material Parameters Sweep for the Calculation of Array Structures

In this letter, an efficient hybrid method is proposed to analyze array structures when frequency and material parameters sweep. Using the frequency and material independent reactions method, the impedance matrix is split into the product of a geometry dependent matrix and a wavenumber dependent factor. The geometry dependent matrix needs to be solved and stored only once when parameters sweep. However, the memory requirement will be very huge for electrically large objects such as array structures. To deal with this problem, the equivalence principle algorithm is used to decompose the array into subdomains and transfer unknowns on the subdomains to the unknowns on the equivalence surfaces. Furthermore, the characteristic basis functions are constructed on the equivalence surfaces to reduce the number of unknowns and matrix storage significantly. Several numerical results are shown to demonstrate the accuracy and efficiency of the proposed method.