• Acta Optica Sinica
  • Vol. 39, Issue 11, 1105003 (2019)
Xinying Li, Xiaofan Qian*, and Nini Meng
Author Affiliations
  • Key Laboratory of Laser Information Processing Technology and Application, Kunming University of Science and Technology, Kunming, Yunnan 650500, China
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    DOI: 10.3788/AOS201939.1105003 Cite this Article Set citation alerts
    Xinying Li, Xiaofan Qian, Nini Meng. Optimization Algorithm of Diffractive Optical Elements for Beam Shaping[J]. Acta Optica Sinica, 2019, 39(11): 1105003 Copy Citation Text show less
    Schematic of geometric mapping principle
    Fig. 1. Schematic of geometric mapping principle
    2f beam shaping system
    Fig. 2. 2f beam shaping system
    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. 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
    Amplitude constraint diagram of improved GS algorithm
    Fig. 4. Amplitude constraint diagram of improved GS algorithm
    Effect of α on output beam size and intensity
    Fig. 5. Effect of α on output beam size and intensity
    Flow chart of algorithm. (a) Improved GS algorithm; (b) overall flow of the algorithm
    Fig. 6. Flow chart of algorithm. (a) Improved GS algorithm; (b) overall flow of the algorithm
    Performance of output beam at different α values
    Fig. 7. Performance of output beam at different α values
    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. 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
    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. 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
    Optical path of laser beam shaping
    Fig. 10. Optical path of laser beam shaping
    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
    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
    AlgorithmRMSEησ
    GS algorithm72.0594.4916.05
    Proposed algorithm36.1896.200.39
    Table 1. Comparison of simulation results of proposed algorithm and GS algorithm algorithm%
    AlgorithmRMSEησ
    GS algorithm77.1171.3823.45
    Proposed algorithm49.8275.146.36
    Table 2. Comparison of experimental results of proposed algorithm and GS algorithm%
    Xinying Li, Xiaofan Qian, Nini Meng. Optimization Algorithm of Diffractive Optical Elements for Beam Shaping[J]. Acta Optica Sinica, 2019, 39(11): 1105003
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