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Alternative techniques for measurement of misalignment in a segmented mirror are of interest to the telescope community in the limit of large misalignment that precludes interferometric tracking. A variation of phase measuring deflectometry can be used to determine 5 degrees of freedom (DOF) of the misalignment with knowledge of the remaining 1 DOF. A camera and screen are positioned near the center of curvature, and the camera collects images of the screen pattern reflected from the mirror. In this application, the form of each segmented mirror is assumed known, so the misalignment contribution to the measurement can be determined. The approach is based on a Zernike analysis of distorted fringe patterns and the sensitivity to misalignment. We discuss simulation results in this paper.
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Angela Davies, Trent Vann, Christopher Evans, Mark Butkiewicz, "Phase measuring deflectometry for determining 5 DOF misalignment of segmented mirrors," Proc. SPIE 10373, Applied Optical Metrology II, 103730H (23 August 2017); https://doi.org/10.1117/12.2276947