Self-similar prefractal frequency selective surfaces for multiband and dual-polarized applications

Abstract

Frequency-selective surfaces (FSS) that have been designed using the iterative techniques of fractals have been fabricated and measured. Fractals contain many scales of the starting geometry, each of which acts as a scaled version of the original. A multiband FSS can be designed that uses several iterations of the geometry to form a prefractal that resonates corresponding to each of the scales present in the geometry. Minkowski and Sierpinski Carpet fractals have been utilized in the design of three surfaces which exhibit two or three stopbands depending on how many iterations are used to generate the geometry of the cell. These surfaces are dual polarized due to the symmetry of the geometry. Simulation capabilities have been developed to analyze these periodic structures including periodic method of moments (MOM) and finite- difference time-domain (FDTD) techniques which show good correlation to the measured results.