“…In [1], simulated annealing was used to optimize relevant pattern parameters by varying the ring radii; [2] showed how to implement a circular planar version of the density tapering technique ( [4], [5]), array elements being located so that the local average excitation density approximated that of a circular Taylor pattern [6]; while [3] employed genetic algorithms, with or without the help of local optimization procedures, to optimize ring radii, within-ring element spacing, or both. Multi-objective optimization, e.g., to balance beamwidth against maximum sidelobe level (SLL), has been considered by Bianchi et al [7]. For references to the older literature, the above papers may be consulted.…”