Abstract
The article presents a numerically efficient and accurate technique for the analysis of doubly-infinite periodic arrays, which find applications as frequency selective surfaces, electronic bandgap structures and metamaterials that often utilize periodic elements with fine features. The method derives its efficiency by projecting the solution to the infinite array problem from that of a corresponding truncated array of relatively small size, typically comprising of only four to six rings. Furthermore, it reduces the matrix size needed to solve for the induced current to only two or three. Another feature of the method is that it involves reciprocity principle to compute the reflection and transmission coefficients of the array, using a technique that avoids the need to integrate the currents induced on the unit cell via the periodic Green's function, as well as the evaluation of the latter integral in the far-field. The results derived are compared with commercial software tools to assess the validity of the approach and to demonstrate the time advantage of the present scheme over the existing techniques. (c) 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:11081116, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26730