Chen Hang, Wang Ningxiao, Huang Yu, Wu Congyi, Rong Youmiu
Appl Opt. 2024 Apr 20;63(12):3283-3289. doi: 10.1364/AO.516663.
The Gerchberg-Saxton (GS) algorithm has been extensively employed in computational holography and beam shaping with the advantages of quick iteration speed and high energy utilization. However, the GS algorithm is prone to trapping into local optima and not reaching ideal outcomes, leading to poor shaping quality. In this paper, a method of random disturbance superposition (RDS) was proposed to feedback GS amplitude, which could stably and universally achieve over 95% high uniformity shaping of multiple beams without other complex operations. In light of this, this paper also covered how this technique affected energy utilization. It has been discovered that the introduction of perturbation could decrease the energy utilization. By analyzing the mechanism, a phase value replacement (PVR) method was proposed, which could effectively improve energy utilization without reducing uniformity. Finally, the simulation results were experimentally validated and met expectations very well. This method helps to accurately control the energy distribution of multiple beams and has a driving effect on laser precision processing technology.
格奇伯格 - 萨克斯顿（GS）算法因其迭代速度快、能量利用率高的优点，在计算全息和光束整形中得到了广泛应用。然而，GS算法容易陷入局部最优，无法达到理想结果，导致整形质量较差。本文提出了一种随机扰动叠加（RDS）方法对GS算法的幅度进行反馈，该方法无需其他复杂操作，即可稳定且普遍地实现多光束95%以上的高均匀性整形。鉴于此，本文还研究了该技术对能量利用率的影响。研究发现，引入扰动会降低能量利用率。通过分析其机理，提出了一种相位值替换（PVR）方法，该方法可有效提高能量利用率，且不降低均匀性。最后，对仿真结果进行了实验验证，结果与预期非常吻合。该方法有助于精确控制多光束的能量分布，对激光精密加工技术具有推动作用。
