Hechenblaikner Gerald
Appl Opt. 2022 Jan 20;61(3):710-720. doi: 10.1364/AO.447209.
We investigate how the probability of acquiring an optical link between a scanning and a target spacecraft depends on the spectral shape, power, and dimensionality of the beam jitter, as well as on the choice of detector integration time, beam detection radius, and scan speed. For slow scans and long integration times, the probability of failure (Pfail) is determined by the integrated jitter power up to a critical frequency, which we verify by comparing the results of an analytical model to those of Monte Carlo simulations. Jitter above the critical frequency leads to a loss of correlation between integration windows and decreases Pfail for both 1D (radial) and 2D (radial and tangential) jitter, as long as the RMS jitter amplitude does not exceed the beam diameter. In the opposite limit of fast scans and short integration times, emergent correlations between jitter fluctuations on two adjacent scanning tracks also decrease Pfail. The analytical model is additionally used to assess the effect of multiple overlapping tracks and the impact of target drifts in the uncertainty plane.
我们研究了在扫描航天器和目标航天器之间建立光链路的概率如何取决于光束抖动的光谱形状、功率和维度，以及探测器积分时间、光束探测半径和扫描速度的选择。对于慢扫描和长积分时间，失败概率（Pfail）由直至临界频率的积分抖动功率决定，我们通过将解析模型的结果与蒙特卡罗模拟的结果进行比较来验证这一点。只要均方根抖动幅度不超过光束直径，高于临界频率的抖动会导致积分窗口之间失去相关性，并降低一维（径向）和二维（径向和切向）抖动的Pfail。在快扫描和短积分时间的相反极限情况下，两个相邻扫描轨道上抖动波动之间出现的相关性也会降低Pfail。该解析模型还用于评估多个重叠轨道的影响以及目标在不确定性平面中漂移的影响。
