Abstract: The object of this invention is to provide a method for a new nonuniformly spaced array with nonuniform amplitudes for sonar, seismic, and electromagnetic applications, where the optimum positions and the optimum amplitudes of the array elements along its axis are systematically determined in order to produce a radiation pattern with specified sidelobe positions (directions) in the radiation pattern. By specifying the sidelobe positions (directions) in the radiation pattern one controls the beamwidth and the sidelobe level value of a directive pattern, and certain other characteristics of other radiation patterns. This method is based on the present invention by which the radiation pattern of a symmetric nonuniformly spaced array with nonuniform amplitudes is expressed rigorously by a constant plus a determinant, where the specified sidelobe positions (directions) of the radiation pattern are introduced explicitly into the determinant in a simple form.

Abstract: The object of this invention is to provide a method for a new nonuniformly spaced array with nonuniform amplitudes for sonar, seismic and electromagnetic applications, where the optimum positions and the optimum amplitudes of the array elements along its axis are systematically determined in order to produce a radiation pattern with specified zeros (nulls) in the radiation pattern. By specifying the zeros (nulls) of the radiation pattern one controls the beamwidth and the side-lobe level of a directive pattern, and certain other characteristics of other radiation patterns. This method is based on the present invention by which the radiation pattern of a nonuniformly spaced array with nonuniform amplitudes is expressed rigorously by a determinant, where the specified zeros (nulls) of the radiation pattern are introduced explicitly in the determinant in a simple form.