An approximate analytic solution for scattering from a frequency selective surface composed of conducting rectangular plates

Summary form only given. A new approximate solution has been obtained for scattering from a frequency selective surface (FSS) composed of thin rectangular plates. The solution is found by using conformal mapping methods to estimate the current density on the FSS elements. The new current density shows the proper edge mode behavior and becomes the physical-optics solution when the FSS elements completely fill each cell. The magnitude of the new current estimate is found by enforcing the boundary conditions. The resulting current provides an analytic solution for scattering from the array and demonstrates the geometry/scattering dependence. The solution has reasonable accuracy for both small and large elements but loses accuracy for intermediate-sized elements. The solution also is much faster than standard moment method (MM) techniques and poses a 3-D edge mode term that can augment future MM solutions.<>