Integral-Equation Analysis of Frequency Selective Surfaces Using Ewald Transformation and Lattice Symmetry

Abstract

Abstract-In this paper, we present the space-domain integralequation method for the analysis of frequency selective surfaces (FSS), consisting of an array of periodic metallic patches or a metal screens perforated periodically with arbitrarily shaped apertures. The computation of the spatial domain Green's function is accelerated by the Ewald transformation. The geometric model is simplified by the lattice symmetry, so that the unknowns are greatly reduced. Time of filling MOM matrix and solving linear system is dramatically reduced. Our technique shows much higher efficiency when compared with the available commercial software and the existing methods published.

Radiation Analysis of Large Antenna Array by Using Periodic Equivalence Principle Algorithm

“…Further, the terms of periodic Green's function can be reduced with enough accuracy by Ewald method mentioned in [1,21].…”

“…Mature methods are proposed to speed up the convergence. Methods based on Poisson summation are other effective ways to accelerate the convergence [1,14,16] by changing the spatial periodic Green's function into spectral form. The spectral form of the periodic Green's function can be written in Equation (7).…”

“…The elements in the infinite array are arranged in horizontal rows parallel to the x axis with spacing D x , and the distance between the rows are D y . The Green's function of the array can be written as a spatial series following [1,21]:…”

“…Nevertheless, it is time consuming for the slow convergence rate of the series [15]. Several acceleration techniques are proposed to improve the convergence rate of the periodic Green's function by using the spectral and spatial formulations in conjunction with Poisson's and Shank's transformations [1,18]. However, as the number of unknowns increases, the number of times to calculate the periodic Green's function will still increase correspondingly.…”

“…The research on large arrays with periodic structure, such as FSS (Frequency selective surface) [1,2] and large antenna array [3,4], has received much attention in recent years. In practical applications, such as the radiation problems of large antenna array, the results of radiation pattern cannot be calculated directly by principle of pattern multiplication.…”