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

Nicolas Lee; Sergio Pellegrino; Yen-Hung Wu

doi:10.1117/1.JATIS.1.2.024002

16 March 2015 Design algorithm for the placement of identical segments in a large spherical mirror

Nicolas Lee, Sergio Pellegrino, Yen-Hung Wu

Author Affiliations +

Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 1, Issue 2, 024002 (March 2015). https://doi.org/10.1117/1.JATIS.1.2.024002

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.

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Nicolas Lee, Sergio Pellegrino, and Yen-Hung Wu "Design algorithm for the placement of identical segments in a large spherical mirror," Journal of Astronomical Telescopes, Instruments, and Systems 1(2), 024002 (16 March 2015). https://doi.org/10.1117/1.JATIS.1.2.024002

Published: 16 March 2015

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