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Mitigation of Dynamic Wavefront Distortions using a Modified Simplex Optimization Approach

机译：使用改进的单纯形优化方法减轻动态波前失真

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摘要

Laser beam propagating through the dynamically changing atmosphere is subjected to severe wavefront distortions caused by the optical turbulence. The resulting spatial and temporal fields of the refractive index lead to performance degradation in the form of reduced signal power and increased BER, even for short link ranges. An electrically addressed liquid crystal spatial light modulator (SLM) is proposed to perform correction of the optical path difference (OPD) pattern resulting from the atmospheric distortions. Controlling every individual pixel of the SLM is a rigorous and time-consuming task that calls for a stable and simple procedure that could be performed in real-time. This could be addressed by approximating the phase profile of the distorted beam using Zemike formalism, which provides efficient mapping between large number of SLM pixels and smaller number of coefficients of Zernike polynomials. A possible solution to the dynamic correction problem is the application of Simplex optimization by Nelder and Mead, which is well known for fast improvement of an optimization metric. As has been shown before, this approach presents a problem of locking up in local minima while correcting dynamic changes. This paper presents experimental results of different approaches to resolve this problem by modifying simplex procedure as well as modification in a previously presented experimental setup.
机译：通过动态变化的大气传播的激光束会受到光学湍流的严重波前畸变的影响。所得到的折射率的时空场会导致性能下降，即使对于短链路范围，信号强度也会降低，而BER也会增加。提出了一种电寻址的液晶空间光调制器（SLM），以执行由大气畸变引起的光程差（OPD）图案的校正。控制SLM的每个像素都是一项严格且耗时的任务，需要稳定且简单的过程来实时执行。这可以通过使用Zemike形式主义近似扭曲光束的相位分布图来解决，该方法可以在大量SLM像素与较少数量的Zernike多项式系数之间提供有效的映射。解决动态校正问题的一种可能方法是应用Nelder和Mead的Simplex最优化方法，该方法以快速改进最优化指标而闻名。如前所述，这种方法存在一个在修正动态变化的同时将局部最小值锁定的问题。本文介绍了通过修改单纯形程序以及在先前介绍的实验设置中进行修改来解决此问题的不同方法的实验结果。

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