用矢量方法分析角锥棱镜的反射特性

Analysis of Reflection Property of Cube-corner retroreflector with Vector Expression

从现代光学角度出发 ,利用反射、折射定律的矢量表达式 ,详细分析了理想角锥棱镜对光的反射特性以及角锥棱镜存在直角误差时对其光路的影响 ,并用大量公式进行了理论推导和论证。同时指出要在高精度测量过程中提高检测精度 ,任何一个角度误差都不能忽略。该分析结果对实际工作中应用角锥棱镜作为逆向反射器所造成的误差的修正具有指导意义。

Cube-corner retroreflector is a high precision component, which is often used as a cooperative target of laser rangefinder. The errors of three right angles of a Cube-corner retroreflector influence directly the measurement range and precision of the laser rangefinder. And the analytical result is derived and demonstrated with a large mumber of formulas.The author pointed out that even a small error of any angle can not be neglected during the high-precision measurement.In this paper,the reflecting characteristic of the ideal Cube-corner retroreflector is analyzed with vector expression method. At the same time, the relationship between right angle errors and reflected beam is given by the quantitative analysis.