It is also proved that the impact on the beam quality when there are aberrations in the laser and beam expansion system is greater than those in the SLM and the focusing lens for the complex modulation algorithm, which is different from the MRAF case. The results show that coma has the greatest effect on the beam shaping quality. Here, the error and robustness of the complex modulation algorithm are analyzed when different types of aberrations (defocus, astigmatism, and coma) exist in different positions of the shaping optical system, and the mixed area magnification-free (MRAF) algorithm is used as a reference for comparison. However, there is a lack of the corresponding error data and robustness analysis. In particular, the wavefront aberrations in different positions have different effects on this complex modulation algorithm. Actually, the wavefront aberrations introduced by each element reduce the uniformity of the shaped beam. In order to obtain a focusing flattop beam with high uniformity, complex modulation is used to modulate the optical pupil function, and the beam shaping algorithm is designed with a single phase-only spatial light modulator (SLM). ![]() 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences (CAS), Changchun, China.1Key Lab of Industrial Fluid Energy Conservation and Pollution Control, Qingdao University of Technology, Qingdao, China.Jing Shao 1*, Hao Dong 1, Suli Han 1, Shufeng Sun 1 and Zhenwei Nie 2*
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