带限光束抖动影响下的空间光链路空间捕获概率模型
Probabilistic model for spatially acquiring optical links in space under influence of band-limited beam jitter
摘要：
一个分析模型推导出的故障概率（P-失败），以空间获取一个光链路与抖动的搜索光束。该分析模型考虑了任意抖动频谱，并考虑了搜索螺旋相邻轨道上抖动偏移之间的相关性。通过将精确的分析模型与相关强度线性化，得到了P-fail的基本超越函数表达式。从模型的预测表明一个强大的减少P-失败的增加相关强度，这被发现是在非常好的协议从Monte Carlo模拟的结果。的依赖性的P-失败的磁道宽度和扫描速度进行了调查，确认以前的假设的相关性的影响。表达式和适用的约束条件推导出的限制，充分和没有相关性，最佳的磁道宽度，以尽量减少采集时间的计算范围内的扫描速度。该模型适用于光学终端配备了一个快速光束转向镜，经常发现在太空中的光通信任务。
英文摘要：
An analytical model is derived for the probability of failure (P-fail) to spatially acquire an optical link with a jittering search beam. The analytical model accounts for an arbitrary jitter spectrum and considers the associated correlations between jitter excursions on adjacent tracks of the search spiral. An expression of P-fail in terms of basic transcendental functions is found by linearizing the exact analytical model with respect to the correlation strength. Predictions from the models indicate a strong decrease of P-fail with increasing correlation-strength, which is found to be in excellent agreement to results from Monte Carlo simulations. The dependency of P-fail on track-width and scan speed is investigated, confirming previous assumptions on the impact of correlations. Expressions and applicable constraints are derived for the limits of full and no correlations, and the optimal track width to minimize the acquisition time is computed for a range of scan speeds. The model is applicable to optical terminals equipped with a fast beam steering mirror, as often found for optical communication missions in space.
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