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A technique has been developed to obtain optimum difference mode excitations for monopulse arrays. In addition, a direct interpolation scheme has been devised for situations where near-optimum results would suffice. A parameter designated as is identified with every optimum difference pattern. The choice of this parameter determines the sidelobe level of the optimum pattern. The problem of obtaining the optimum excitations has been shown to be reducible to one of finding out the best approximation that minimizes the maximum deviation (minimax) from the real line ( axis), over a range determined by . This latter problem has been solved using a modified Remez exchange algorithm. An extensive set of design curves has also been presented.