“…The Luneburg lens was also applied to create multiple beams in direction finding applications in many RF/mm-wave a) Electronic mail: cxbi@hfut.edu.cn frequency bands Biswas, 2019;Chou et al, 2019;Li et al, 2019;Biswas and Mirotznik, 2020;Elmansouri and Filipovic, 2022). The Luneburg lens has been continuously receiving attention in the acoustics field (Torrent et al, 2014;Wang et al, 2015;Fu et al, 2018;Park and Lee, 2018;Zhao et al, 2020;Zhao and Yu, 2020a,b;Chen et al, 2021;Zhao et al, 2023a;Zhao et al, 2023b;Zhao et al, 2023c;Zhao et al, 2023d) with the development of phononic crystals (Peng et al, 2010;Wu and Chen, 2011;Chen et al, 2014;Jin et al, 2019;Zhao and Zhou, 2019; in recent years. One exceptional characteristic of ALL is that the lens can detect the directivities of acoustic sources based on the focal positions.…”