Investigation of sidelobe behavior for canonical polygon and fractal random array topologies

摘要

This work examines the sidelobe behavior of canonical polygons and associated fractal topologies for planar random arrays. The array manifolds are composed of uniformly distributed isotropic radiators densely populated to examine the limiting behaviors of each shape. A stochastic mathematical analysis is used to derive the mean radiation pattern. Numerical experiments are run to demonstrate scanning and to compare the patterns between the canonical shapes and their associated fractal forms. The results show that increasing the number of sharp edges either by additional sides or fractalization leads to higher sidelobe levels.