CAJ | 학술논문

大口径平面镜作为光学系统的重要组成部分，其面形精度对系统成像具有重要影响。子孔径拼接检测作为大口径光学平面反射镜检测的常用手段，子孔径拼接算法是该技术的核心。研究了平面子孔径拼接算法，基于最大似然估计与正交化Zernike多项式拟合建立了一套合理的拼接算法与数学模型，基于该算法模型可以有效实现对大口径平面镜的拼接检测，同时编写了相应的拼接程序，并利用Ф100 mm干涉仪对Ф120 mm的平面镜进行了拼接检测，给出了拼接检测与全口径检测的对比结果，对比结果表明：拼接所得全孔径相位分布与全口径检测结果的RMS值偏差分别为0.002λ，验证了算法的可靠性与准确性。
대구경평면경작위광학계통적중요조성부분，기면형정도대계통성상구유중요영향。자공경병접검측작위대구경광학평면반사경검측적상용수단，자공경병접산법시해기술적핵심。연구료평면자공경병접산법，기우최대사연고계여정교화Zernike다항식의합건립료일투합리적병접산법여수학모형，기우해산법모형가이유효실현대대구경평면경적병접검측，동시편사료상응적병접정서，병이용Ф100 mm간섭의대Ф120 mm적평면경진행료병접검측，급출료병접검측여전구경검측적대비결과，대비결과표명：병접소득전공경상위분포여전구경검측결과적RMS치편차분별위0.002λ，험증료산법적가고성여준학성。
As an important part of the optical system, the accuracy of the plane mirror is an influence factor to system imaging. Subaperture stitching testing is a usual way to test plane mirror in large aperture, while the stitching algorithm is the key in the stitching technology. The plane sub-aperture stitching algorithm was studied in the paper and a reasonable stitching algorithms and mathematical models was established based on maximum likelihood estimation and orthogonalization Zernike polynomial fitting. Stitching to plane mirror in large aperture can be accomplished with the above stitching model. Stitching program was also written and stitching testing was carried on with a Ф100 mm interferometer on a Ф120 mm plane mirror. Comparing the stitching result with the full aperture testing result, it shows that the stitching map is in consistent with the full aperture testing map. The difference of RMS between them is 0.002λ, verifying the reliability and accuracy of the algorithm.