| Citation: | ZHANG Si-qi, CHEN Yang, LUO Wei-zhou, ZHAO Le, YANG Ning, CUI Hai-long, ZHENG Yue-qing, HAI Kuo, ZANG Zhong-ming. Cylindrical optics stitching interferometry with low spatial frequency figure error correction[J]. Chinese Optics. doi: 10.37188/CO.2026-0051
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The subaperture stitching method based on computer-generated holograms (CGH) is a common approach for measuring the surface profile of cylindrical mirrors. However, the stitching result suffers from distortion in low-frequency surface shape information. This is primarily caused by the cumulative amplification of errors and the inability of conventional aberration fitting methods (based on orthogonal polynomials) to effectively separate errors from the true surface figure. To address this issue, this paper proposes a novel method to compensate for and correct the low-frequency information of cylindrical mirror surface profiles. First, an initial stitching is performed using a successive subaperture stitching method based on Chebyshev polynomials. Next, the profile along the mirror's stitching direction (i.e., the generatrix direction) is measured independently to extract its low-frequency component. Finally, this low-frequency information is used to further fuse and correct the initial stitching result. Experimental validation was conducted on a cylindrical mirror with a clear aperture of 150 mm × 210 mm and a radius of curvature of 790.23 mm. The results demonstrate that the proposed method effectively corrects the generatrix direction profile of the cylindrical mirror. Compared to the full-aperture reference surface obtained via full-aperture CGH measurement, the root mean square (RMS) of the residual error for the stitching result is approximately
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