Hyde Milo W
J Opt Soc Am A Opt Image Sci Vis. 2018 Aug 1;35(8):1315-1323. doi: 10.1364/JOSAA.35.001315.
This paper investigates atmospheric array tilt and its effect on target-in-the-loop optical phased array (OPA) performance. Assuming a direct-solve, piston-only-phase-compensation OPA, two expressions for the atmospheric array tilt variance are derived using Mellin transform techniques. The first-the "full" array tilt variance-is germane when the OPA is sensitive to atmospheric tilt and is shown to significantly impact OPA target-plane intensity. The second-the Zernike-tilt-removed array tilt variance-is relevant when a separate system compensates for atmospheric tilt (the more likely scenario) and is shown to negligibly affect OPA performance. To show how atmospheric array tilt errors affect target-plane intensity, moments of the far-zone (or focused) array intensity, as functions of the array tilt variance, are derived and discussed. Lastly, Monte Carlo simulation results are presented to validate the theoretical array tilt variance expressions.
本文研究了大气阵列倾斜及其对闭环光学相控阵（OPA）性能的影响。假设采用直接求解、仅活塞相位补偿的OPA，利用梅林变换技术推导了大气阵列倾斜方差的两个表达式。第一个——“全”阵列倾斜方差——在OPA对大气倾斜敏感时适用，且已表明其会对OPA目标平面强度产生显著影响。第二个——去除泽尼克倾斜后的阵列倾斜方差——在单独的系统补偿大气倾斜时（更可能的情况）适用，且已表明其对OPA性能的影响可忽略不计。为了展示大气阵列倾斜误差如何影响目标平面强度，推导并讨论了远场（或聚焦）阵列强度的矩作为阵列倾斜方差的函数。最后，给出了蒙特卡罗模拟结果以验证理论阵列倾斜方差表达式。
