摘要
为更精确地分析别汉(Pechan)棱镜的制造和安装误差对成像光路光轴的影响,使用四元数对其进行了误差模型建立。获得了将其复杂反射过程等效为绕某个法向量旋转的一次简化模型。该模型完全保证了当光轴与别汉棱镜入射面存在一定误差角度时,对出射光轴的偏转影响特性。模型的推导利用了四元数在表示旋转运动时的优势,将复杂的三角函数运算简化为代数运算,公式简洁、物理意义明确。将5次反射计算与4次旋转计算简化为1次等效反射运算,为使用别汉棱镜消像旋的光路误差模型推导提供了有效的简化数学模型。
In order to accurately analyze the influence of Pechan prism manufacturing and installation errors on the optical path of the imaging optical path,the quaternion is used to establish the error model.This model retaines the characteristic of the emission optical axis when there is an error angle between incident optical axis and the incident plane of Pechan prism.Benefit from the advantage of quaternion on describing rotation,the model optimizes the complex trigonometric operation into the simple algebraic operation.The model simplifies the 5th reflection calculation and the 4 rotation calculations into one equivalent reflection operation.An optimized model for analyzing errors in the light path containing the Pechan prism is provided.
作者
官斌
洪源
GUAN Bin;HONG Yuan(The 7th Military Representative Office of the PLA Stationed inWuhan,Wuhan 430223,China;Huazhong Institute of Electro-Optics-Wuhan National Laboratory for Optoelectronics,Wuhan 430223,China)
出处
《光学与光电技术》
2019年第4期84-88,102,共6页
Optics & Optoelectronic Technology
关键词
别汉棱镜
四元数
像旋
光轴
误差模型
Pechan prism
quaternion
image rotation
optical axis
error model
