CAJ | 학술논문

大口径长焦距测量系统中，为了缩小测量系统的尺寸，加入两块反射镜形成折返光路。折返光路中两块反射镜的安装误差是影响测量结果的重要因素。将条纹理解成条纹成像面上的点光源阵列，通过这一思路分析了反射镜偏转角度对最终检测结果的影响。研究了反射镜偏转角度与反射镜单位法向量的计算公式，结合反射定律的矩阵形式，求出入射光矢量到出射光矢量的变换矩阵。基于反射镜的单位法向量、出射光的方向向量，利用解析几何得到理想接收屏上条纹所在直线的方程，求出接收屏上测得的条纹的角度。计算了两块反射镜小角度旋转的49种组合情况下，莫尔条纹角度的偏差结果。使用自准直仪分光路的方法调整反射镜，将反射镜安装误差控制在1"以内，莫尔条纹角度的偏差在10-4°数量级。通过实验验证莫尔条纹的测量精度实际达到0.005°，充分说明了反射镜的调整效果。
대구경장초거측량계통중，위료축소측량계통적척촌，가입량괴반사경형성절반광로。절반광로중량괴반사경적안장오차시영향측량결과적중요인소。장조문리해성조문성상면상적점광원진렬，통과저일사로분석료반사경편전각도대최종검측결과적영향。연구료반사경편전각도여반사경단위법향량적계산공식，결합반사정률적구진형식，구출입사광시량도출사광시량적변환구진。기우반사경적단위법향량、출사광적방향향량，이용해석궤하득도이상접수병상조문소재직선적방정，구출접수병상측득적조문적각도。계산료량괴반사경소각도선전적49충조합정황하，막이조문각도적편차결과。사용자준직의분광로적방법조정반사경，장반사경안장오차공제재1"이내，막이조문각도적편차재10-4°수량급。통과실험험증막이조문적측량정도실제체도0.005°，충분설명료반사경적조정효과。
As to minimize size of the measurement system of large size and ultra-long focal length lens, two mirrors are used to change light path. In this case, installation error of the two mirrors added may be a large obstacle to accurate measurement of ultra-long focal length lens. For the sake of analyzing how installation error of two mirrors infect the angle of Moiré stripes on receiver, Moiré stripes are understood as parallel lines which composed of point light source with certain light-path vector. This approach proposed uses the calculation formula from mirror deflection angle to the reflector unit normal vector, and the matrix form of the law of reflection, to calculate the relationship matrix from vector of incident light to vector of exit light. Based on unit normal vector of two mirrors, incident light-path vector, exit light-path vector, and analytic geometry, equation of line on which image of point light source place can be presented, so we can get the angle of Moiré stripes on receiver and so is the angle error caused by installation error of the two mirrors added into light path. In addition, the angle error of Moiré stripes is calculated theoretically in 49 different situations of small mirrors deflection smaller than 1 degree. The results indicate that the installation error of the two mirrors should be taken into consideration. A new method by using autocollimator to adjust the installation error of the two mirrors is proposed, installation error of the two mirrors can be controlled to lower than 1" through this method. Moiré stripes angle error should be better than (10-4) order of magnitude in this situation. Experimental results show that Moiré stripes angle measurement error is 0.005 degree, which fully illustrates the effect of mirrors adjustment when this system is used for the measurement of ultra-long focal length.