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Optical and Quantum Electronics

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01-11-2017

Sub-aperture stitching method to measure aspherical mirror in phase retrieval

Authors: Chao Xie, JuanLi Ren, Shangyong Chen

Published in: Optical and Quantum Electronics | Issue 11/2017

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Abstract

A sub-aperture stitching method to measure aspherical mirror in phase retrieval is presented. Analytical expressions for the gradient of a squared-error metric with respect to the object and sub-aperture parameters are obtained. Then we give the sub-aperture stitching algorithm in phase retrieval to measure aspherical mirror. The validity of it has been proved in simulation by us. The influence of misalignment in this algorithm is shown and the corresponding method to align is supplied. Using this sub-aperture stitching method we have arranged an experimental setup to test an aspheric mirror with 640 mm vertex radius and 206 mm clear aperture. In this experiment, the optical path has been perfectly aligned using foregoing alignment method. The good agreement between the results of sub-aperture stitching and the corresponding interferometer results indicates the correction of the sub-aperture stitching approach and the corresponding aligning method.

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Title: Sub-aperture stitching method to measure aspherical mirror in phase retrieval
Authors: Chao Xie
JuanLi Ren
Shangyong Chen
Publication date: 01-11-2017
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 11/2017
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-017-1189-y

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