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

Lee, Nicolas and Pellegrino, Sergio and Wu, Yen-Hung (2015) Design algorithm for the placement of identical segments in a large spherical mirror. Journal of Astronomical Telescopes, Instruments, and Systems, 1 (2). Art. No. 024002. ISSN 2329-4124. doi:10.1117/1.JATIS.1.2.024002.

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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.

Item Type:Article
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URLURL TypeDescription
Lee, Nicolas0000-0001-5500-1324
Pellegrino, Sergio0000-0001-9373-3278
Additional Information:© 2015 Society of Photo-Optical Instrumentation Engineers. Paper 14031 received Nov. 6, 2014; accepted for publication Feb. 3, 2015; published online Mar. 16, 2015. We thank Marie Laslandes for helpful discussions and James Breckinridge for valuable and detailed feedback about the manuscript. N. Lee was supported through this work by a postdoctoral fellowship from the W. M. Keck Institute for Space Studies. The research was carried out in part at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.
Group:Keck Institute for Space Studies, GALCIT
Funding AgencyGrant Number
Keck Institute for Space Studies (KISS)UNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20150402-133733867
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Official 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). ;
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56311
Deposited By: Nicolas Lee
Deposited On:02 Apr 2015 20:57
Last Modified:10 Nov 2021 20:57

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