Pattern synthesis of circular arrays in a moving medium

Based on a modified expression for the radiation field of a circular array in a moving medium, pattern synthesis is performed for medium motion both in the direction of and parallel to the main beam. It is shown that medium motion, even considering only first-order effects, changes the synthesized patterns significantly. The required excitation amplitudes and phases for the proper synthesis of a 21-element circular array to yield a cosine-square pattern in a moving medium are given.