基于最小二乘法,利用面积加权的平均运动推导出了光学元件的表面平均刚体运动方程。基于微振动进行了光学系统调制传递函数(MTF)的影响分析,计算了相应的像移量及对应的系统光轴偏转角。利用刚体运动方程对频率响应分析数据进行了处理。根据系统光轴偏转角要求反推了光电载荷安装面的微振动量级要求。通过定频微振动实验实时测试了系统MTF。结果表明,分析结果与测试数据的误差均在20%以内,满足工程应用的要求,并验证了该计算方法的正确性。

Based on the least square method, the average surface rigid-body motion equation of optical elements is derived herein using the area-weighted average motion. By analyzing the effect of micro-vibration on the modulation transfer function (MTF) of an optical system, the relevant image motion and its corresponding optical axis rotation angle are determined. The data process for the frequency response analysis is performed using the average rigid-body motion equations. The micro-vibration magnitude of the photoelectric payload mounting surface is retrieved based on the demands of optical axis rotation angles of the system. The real-time MTF testing of the system is performed using the constant-frequency micro-vibration test. The results show that the error discrepancy between the analysis results and the test data is within 20%, which meets the requirements for engineering applications and verifies the correctness of the computational method.