Fig. 1. Schematic of geometric mapping principle

Fig. 2. 2f beam shaping system

Fig. 3. Numerical simulation results of geometric mapping theory. (a) Phase distribution of DOE; (b) intensity distribution of output beam; (c) intensity distribution of target beam

Fig. 4. Amplitude constraint diagram of improved GS algorithm

Fig. 5. Effect of α on output beam size and intensity

Fig. 6. Flow chart of algorithm. (a) Improved GS algorithm; (b) overall flow of the algorithm

Fig. 7. Performance of output beam at different α values

Fig. 8. Design results of DOE. (a)(c) Phase and beam shaping results of the proposed algorithm; (b)(d) phase and beam shaping results of the traditional GS algorithm

Fig. 9. Design results of DOE. (a)(c) DOE phase and beam shaping results of circular flat-topped light; (b)(d) DOE phase and beam shaping results of circular light

Fig. 10. Optical path of laser beam shaping

Fig. 11. Experimental results. (a)(c) Beam shaping results and intensity profiles of GS algorithm; (b)(d) beam shaping results and intensity profiles of the proposed algorithm