“…Recently, although big progresses have also been subsequently achieved in the field of elastic metasurfaces (Liu et al, 2017b;Xu et al, 2019b;Cao et al, 2020a;Cao et al, 2018a;Chen et al, 2018;Lee et al, 2018;Li et al, 2018;Liu et al, 2017b;Park et al, 2020;Qiu et al, 2019;Su et al, 2018;Tian and Yu, 2019;Xia et al, 2019;Xu et al, 2019a;Yuan et al, 2020;Zhang et al, 2018;Zhu and Semperlotti, 2016), almost all existing researches on elastic metasurfaces are simply related to the manipulation of the wavefield based on the GSL, which is only related to 1 st order diffraction. The manipulation of other orders of elastic wave diffractions based on elastic metasurface has not been systematically studied due to the essential difference between the elastic waves and the acoustic waves; for example, more degrees of freedom and more complexity of the control equation.…”