摘要
为了进一步提高双光楔结构中反解算法的计算精度、减少计算时间,本文将正演迭代法与光楔等效矢量模型相结合,提出等效矢量迭代法。首先,根据光楔对光线的偏转作用建立光楔等效矢量模型。接着,利用矢量叠加的方法求解双光楔出射光线的矢量坐标。然后,将等效矢量模型代入双光楔两步逆解算法中进行计算,求解双光楔旋转角度的近似值。最后,利用正演迭代、逐步逼近的思想,提出等效矢量迭代逆解算法,并计算得到双光楔的旋转角度。实验结果表明:该算法的计算精度达到10μm级别,计算时间在0.1 ms以内。该算法能有效提高计算精度、降低计算时间,在高精度光束指向领域具有广泛的应用前景。
In order to further improve the calculation accuracy and reduce the calculation time of the inverse algorithm in the Risley-prism structure,a new algorithm is proposed.It combines the forward iterative method with the equivalent vector model of the Risley-prism to produce an equivalent vector iterative method of calculation.Firstly,the equivalent vector model of the wedge is established according to its deflection.Then,the vector coordinates of the light emitted from the Risley-prism are solved through vector superposition.The equivalent vector model is then substituted into the two-step inverse solution algorithm to calculate the approximate value of the rotation angle of the Risley-prism.Finally,the inverse equivalent vector iteration algorithm is proposed by using forward iteration and gradual approximation,and the rotation angle of Risleyprism is obtained.The experimental results show that the accuracy of the algorithm reaches 10μm and the calculation time is less than 0.1 ms.The algorithm can effectively improve calculation accuracy,reduce calculation time,and has application prospects in the field of high-precision beam pointing.
作者
冯建鑫
王强
王雅雷
胥彪
FENG Jian-xin;WANG Qiang;WANG Ya-lei;XU Biao(Academy of Astronautics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China)
出处
《中国光学》
EI
CAS
CSCD
北大核心
2022年第1期56-64,共9页
Chinese Optics
基金
国家自然基金(No.61603183)
南京航空航天大学研究生创新基地(实验室)开放基金(No.Kfjj20201502)。
关键词
光束指向
双光楔结构
等效矢量模型
正演迭代算法
beam pointing
Risley-prism structure
equivalent vector model
forward iterative algorithm
