五角棱镜的三维抖动及制造角差对转向角的影响  

Influences on the deflection angle due to 3D dithering and fabrication angles error of the pentaprism

作　　者：刘志祥[1,2] 马冬梅[1] 卞江[1,2] 崔宇[3] 

机构地区：[1]中国科学院长春光学精密机械与物理研究所,吉林长春130033 [2]中国科学院研究生院,北京100039 [3]中国人民解放军装甲兵技术学院,吉林长春130117

出　　处：《光学仪器》2009年第2期42-47,共6页Optical Instruments

摘　　要：根据旋转变换矩阵和光线矢量追迹理论,运用MatLab编写通用的五角棱镜的光线矢量追迹函数及相关分析程序,详尽、全面地分析了五角棱镜的三维抖动及制造角差对其转向角的影响。分析结果表明:制造角差只与沿扫描方向的转向角偏差成线性关系,当满足一定关系时,制造角差对转向角无影响;滚动角、偏摆角与垂直于扫描方向的转向角偏差成线性关系,偏摆角与沿扫描方向的转向角偏差成二次函数关系。最后还给出了在一定范围内精度较高的近似公式。According to rotation transform matrix and vectorial ray tracing theory, a versatile vectorial ray tracing function and a relevant analysis program was written by MatLab, the influences on the deflection angle of the pentaprism was analyzed in detail due to 3D dithering and fabrication angles error. The analysis result show that the deviation of the deflection angle along scan direction is linear with fabrication angles error, and when the fabrication angles satisfy some condition, there is no influence~ the deviation of the deflection angle vertical scan direction is linear with the roll angle and yaw angle, the deviation of the deflection angle along scan direction is quadratic with the yaw angle. In the end, two high accurate approximate formulae in certain range were given.

关 键 词：光学测量 五角棱镜 转向角 旋转变换矩阵 光线矢量追迹 MATLAB 

分 类 号：TH74[机械工程—光学工程]