Ground and Space-Based Telescopes

Design algorithm for the placement of identical segments in a large spherical mirror

[+] Author Affiliations
Nicolas Lee, Sergio Pellegrino

California Institute of Technology, Graduate Aerospace Laboratories, 1200 East California Boulevard, Pasadena, California 91125, United States

Yen-Hung Wu

California Institute of Technology, Jet Propulsion Laboratory, 4800 Oak Grove Drive, Pasadena, California 91109, United States

J. Astron. Telesc. Instrum. Syst. 1(2), 024002 (Mar 16, 2015). doi:10.1117/1.JATIS.1.2.024002
History: Received November 6, 2014; Accepted February 3, 2015
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Abstract.  We present a design algorithm to compute the positions of identical, hexagonal mirror segments on a spherical surface, which is shown to provide a small variation in gap width. A one-dimensional analog to the segmentation problem is developed in order to motivate the desired configuration of the tiling patterns and to emphasize the desire for minimizing segment gap widths to improve optical performance. Our azimuthal equidistant centroid tiling algorithm is applied to three telescope architectures and produces mirror segment arrangements that compare favorably with existing and alternative designs.

© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

Nicolas Lee ; Sergio Pellegrino and Yen-Hung Wu
"Design algorithm for the placement of identical segments in a large spherical mirror", J. Astron. Telesc. Instrum. Syst. 1(2), 024002 (Mar 16, 2015). ; http://dx.doi.org/10.1117/1.JATIS.1.2.024002


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