角锥棱镜的误差引起的反射光束相位误差分析

The Reflected Beam's Phase Aberration Induced by the Fabrication Errors of Corner Cube Retroreflector

提出一种计算角锥棱镜反射光束相位误差的方法。光束通过非理想角锥棱镜时会引入一个附加光程差,从而改变光束的相位特性和反射光束的传播方向。在小误差近似条件下,采用光线追迹法建立了一个有效的数学模型,计算角锥棱镜的二面角误差和反射面面型误差引起的传输光束的附加相位,并分析了该模型的理论误差。在二面角误差为1″反射面面形光圈数小于0.5的条件下,该模型的数值仿真结果显示角锥附加相位具有高度的中心对称性,附加相位对入射光束引入的相位平均斜率为零,这一特性与误差的种类和大小无关。角锥棱镜的附加相位模型为分析其在应用中给系统带来的误差提供了一个新的方法,有助于指导不同应用场景中所使用角锥棱镜的加工指标要求。

A method to calculate the aberration of the reflected beam of corner cube retroreflector （CCR） is introduced. The light beam which passes through a faulty CCR will be induced an additional optical path difference, thus the characteristic of the phase of the reflecting beam and the direction of the beam propagation are changed. Using ray trace method, an effective mathematical model is built to calculate the additional aberration caused by dihedral angle errors and curved reflecting surfaces, and the error of the model is also analyzed. On conditions that the dihedral angle errors is 1＂ and f-number of the reflecting surfaces is less than 0.5, the numerical simulation of the model shows that the additional aberration has a great centrosymmetry and the mean slop coefficient of the additional phase versus the phase introdured by the incident beam is zero, this characteristic is independent of the type and magnitude of fabrication errors. The aberration model of CCR offers a new way to analyze the system error caused by CCR. In addition, it would provide helps in manufacture of CCR for specific purpose.