Kennedy, RodneyAbhayapala, Thushara2015-12-131053-587Xhttp://hdl.handle.net/1885/93957We establish the asymptotic equivalence, up to complex conjugation, of two problems: 1) determining the nearfield performance of a farfield beampattern specification and 2) determining the equivalent farfield beampattern corresponding to a nearfield beampattern specification. Using this reciprocity relationship, we develop a computationally simple procedure to design a beamforming array to achieve a desired nearfield beampattern response. The superiority of this approach to existing methods, both in ease of design implementation and performance obtained, is analyzed and then illustrated by a design example.Keywords: Asymptotic equivalence; Broadband beamforming; Nearfield beamforming; Radial reciprocity; Computational methods; Mathematical models; Signal processing Array processing; Broadband beamforming; Nearfield beamforming199910.1109/78.7382372015-12-12