An efficiency-constrained application of a modified Bernstein polynomial for conformal array amplitude excitation optimization

This paper starts by reviewing a generalized definition of aperture efficiency appropriate for conformal arrays with directional radiating elements. A modified Bernstein polynomial, defined with just five parameters, is introduced which provides a flexible method to specify a variety of smooth unimodal amplitude distributions that are shown to give good side lobe levels and aperture efficiencies. By using particle swarm optimization of the modified Bernstein polynomial parameters constrained to provide a specified aperture efficiency, a family of aperture distributions and corresponding far field patterns is produced mat allows aperture efficiency to be traded for sidelobe level for conformal arrays