高级检索

基于3次样条插值的2维快反镜标定技术研究

Research on calibration technology of 2-D fast steering mirror based on cubic spline interpolation

  • 摘要: 为了满足2维快反镜在激光通信等领域对高精度指向与稳定性需求,对2维快反镜的角度标定技术进行了系统研究。采用了一种基于3次样条插值和最小二乘的标定算法,通过调整样条函数的优化权重,在提高插值精度的同时兼顾曲线的平滑性,并进行了理论分析和实验验证。结果表明,在±1°的角度范围内,优化后的3次样条插值方法抑制了Runge现象,快反镜方位和俯仰方向的定位精度均方根误差分别为1.54″和1.26″,优于多项式拟合方法的5.02″和4.87″。该研究为2维快反镜的高指向精度以及高稳定性控制提供了参考。

     

    Abstract: In order to meet the requirements for high-precision pointing and stability of 2-D fast steering mirror(FSM) in fields such as laser communications, a systematic study was conducted on the angle calibration technology of 2-D FSM. A set of 2-D FSM angle calibration system was designed, and an innovative calibration algorithm was proposed. A least squares optimization idea was introduced into cubic spline interpolation, and the performance was significantly improvised by dynamically adjusting the optimization weight of the spline function. The interpolation accuracy was improved while taking into account the smoothness of the curve, and the limitations of traditional calibration methods was overcome. The theoretical analysis and experimental verification were then conducted. Experimental results show that within the angle range of ±1°, the optimized cubic spline interpolation method suppresses the Runge phenomenon, and the positioning accuracy root mean square error of the FSM in the azimuth and pitch directions is 1.54″ and 1.26″ respectively, which is better than the 5.02″ and 4.87″ of the polynomial fitting method. This study provides a reference for the high pointing accuracy and high stability control of the 2-D FSM.

     

/

返回文章
返回