In the typical analysis of aero-optical wave-front data, the three lowest-order spatial modes (namely, unsteady piston as well as $X$ and $Y$ tilts) are removed from the experimentally measured wave fronts. These modes are commonly corrupted by mechanical disturbances. In this work, an algorithm called the stitching method was developed that takes advantage of the advective nature of the optical aberrations caused by turbulent structures to recover the unsteady global X-tilt and piston modes from experimental time-resolved wave fronts. One-dimensional modeling and related uncertainty analysis showed that for the wave fronts collected with sufficient sampling frequency, the algorithm is able to correctly recover the aero-optical component of the unsteady X tilt. In this manner, the time series of true wave fronts can be recovered. To further validate the stitching method, spatiotemporal wave-front measurements were conducted on a Mach 0.6/0.1 forced shear layer. The predicted results for the rms of the aero-optical X tilt from the stitching method agree well with the modeled results. Since the stitching method recovers the time series of the aero-optical global X tilt, the global tilt spectra were also computed and presented. This information can be used by system designers to specify the requirements for adaptive-optics system components, such as fast steering mirrors in airborne directed energy systems.

在航空光学波前数据的典型分析中，三种最低阶空间模式（即非定常活塞以及 $X$ 和 $是$倾斜）从实验测量的波前中删除。这些模式通常会被机械干扰破坏。在这项工作中，开发了一种称为拼接方法的算法，该算法利用由湍流结构引起的光学像差的平流性质，从实验时间分辨波前恢复不稳定的全局 X 倾斜和活塞模式。一维建模和相关的不确定性分析表明，对于以足够采样频率收集的波前，该算法能够正确恢复非定常X倾斜的气动光学分量。以这种方式，可以恢复真实波前的时间序列。为了进一步验证拼接方法，在 0.6/0.1 马赫的强制剪切层上进行了时空波前测量。来自拼接方法的航空光学 X 倾斜均方根的预测结果与建模结果非常吻合。由于拼接方法恢复了航空光学全局 X 倾斜的时间序列，因此还计算并呈现了全局倾斜谱。系统设计人员可以使用此信息来指定自适应光学系统组件的要求，例如机载定向能系统中的快速转向镜。