Some new calculations on antenna superdirectivity

The fundamental limitation of superdirective antenna arrays was previously demonstrated through calculation of Chebyshev arrays. Those arrays are not optimum and have an extraneous parameter (sidelobe level). A new calculation is made using maximum directivity arrays, and it is shown that log Q varies approximately linearly with directivity. A close fit to this behavior is given by log Q = pi(G-G sub 0). The pi slope has been inferred from work of Rhodes (1974) but cannot be physically justified at this time.