Theoretical investigation of metallic elliptically periodic structures using Mathieu functions

In this paper, an analysis of elliptical periodic structures composed of metallic wires is presented. The transmission and reflection coefficients of elliptical frequency-selective surfaces (FSSs) are calculated by expressing the scattered field via Mathieu functions and by using an elliptical-wave multiple reflections model. It is shown that when the elliptical period and the focus are constant, elliptical periodic surfaces have the same transmission and reflection coefficients This work has potential applications for designing directive antennas. (c) 2006 Wiley Periodicals, Inc.