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进行星间激光通信的光学发射天线光束整形器设计时,首要解决的问题是根据输入光场及理想的输出光场,确定整形器的相位分布,其核心就是相位恢复.基于角谱传播理论,在传统Gerch berg-Saxton(G-S)迭代算法的基础上,提出了一种幅度梯度加成迭代算法,给出了算法的详细流程与分析.与G-S相比,新算法利用迭代过程,构建光场幅度反馈回路,利用梯度搜索最佳迭代路径,两者的联合作用加速其迭代收敛进程.数值仿真表明,新算法的单位迭代次数所引起迭代误差下降的速度是G-S算法的1.7倍,其收敛速度明显优于G-S算法;对不同的随机初始相位,新算法都能进行有效迭代,表现出适应性强,且收敛一致性好的优点.幅度梯度加成迭代算法为复杂光场的高效相位恢复提供了一种新思路,为设计各种衍射光学元件提供了技术支持.
In the design of the optical transmit antenna beam shaper for inter-satellite laser communication, the primary problem to be solved is to determine the phase distribution of the shaper according to the input light field and the ideal output light field, and the core is the phase recovery.Based on the theory of angular spectrum propagation, Based on the traditional Gerch berg-Saxton (GS) iterative algorithm, an amplitude gradient addition iteration algorithm is proposed, and the detailed process and analysis of the algorithm are given. Compared with GS, the new algorithm uses an iterative process to construct a light field Amplitude feedback loop, the best iteration path is searched by gradient, and their combined action accelerates the process of iterative convergence.The numerical simulation shows that the iterative error is decreased by 1.7 times and the convergence rate Which is obviously better than the GS algorithm.For different random initial phase, the new algorithm can effectively iterate, showing the advantages of strong adaptability and good convergence consistency.The amplitude gradient addition iteration algorithm provides the efficient phase recovery for complex optical fields A new idea, for the design of a variety of diffractive optical element provides technical support.