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Optical Engineering • Open Access

Self-calibrating phase measurement based on diffraction theory and numerical simulation experiments
Author(s): Liao Zhou; Qiu Qi; Xian Hao

Paper Abstract

To achieve a full-aperture, diffraction-limited image, a telescope’s segmented primary mirror must be properly phased. Furthermore, it is crucial to detect the piston errors between individual segments with high accuracy. Based on the diffraction imaging theory, the symmetrically shaped aperture with an arbitrarily positioned entrance pupil would focus at the optical axis with a symmetrical diffraction pattern. By selecting a single mirror as a reference mirror and regarding the diffraction image’s center as the calibration point, a function can be derived that expresses the relationship between the piston error and the distance from the center of the inference image to the calibration point is linearity within one-half wavelength. These theoretical results are shown to be consistent with the results of a numerical simulation. Using this method, not only the piston error, but also the tip–tilt error can be detected. This method is simple and effective; it yields high-accuracy measurements and requires less computation time.

Paper Details

Date Published: 25 February 2015
PDF: 4 pages
Opt. Eng. 54(2) 025116 doi: 10.1117/1.OE.54.2.025116
Published in: Optical Engineering Volume 54, Issue 2
Show Author Affiliations
Liao Zhou, Institute of Optics and Electronics (China)
Univ. of Electronic Science and Technology of China (China)
Qiu Qi, Univ. of Electronic Science and Technology of China (China)
Xian Hao, Institute of Optics and Electronics (China)


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