Synthesis of linear arrays employing a perturbation technique to achieve sidelobe reduction by varying element positions alone or phases of antenna currents alone, keeping magnitudes of antenna currents equal, is discussed. Both the mean squared and minimax error criteria are employed. The technique may also be used to yield patterns with all sidelobes equal.Corresponding results calculated from ( 1 0) are shown by dotted lines in Figs. 1 and 2. The agreement between them is fairly good considering ( I O ) includes only single diffracted rays. It may be noted that (10) does not give very accurate results when K = ka is small, or when K = nn. In those cases, the more sophisticated ray theory in [3] may be used.For completeness, we will show that the values of B, in (5) and (6) c m be calculated from the results for radiation characteristics. If we denote the radiation field as