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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 4 — Feb. 1, 2011
  • pp: 542–553

Rolled edges and phasing of segmented telescopes

Natalia Yaitskova and Mitchell Troy  »View Author Affiliations

Applied Optics, Vol. 50, Issue 4, pp. 542-553 (2011)

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To achieve the diffraction limit, the segments in a segmented telescope must be correctly aligned to a fraction of a wavelength. This alignment is performed via optical measurements using starlight. We investigate the piston degree of freedom or phasing of the segments and the impact of rolled segment edges on the accuracy of the optical alignment. Three models for edge profiles are developed and fit to data from optic manufacturers. These profiles are then used, along with a simplified model of a Shack–Hartmann optical sensor, to determine their impact on phasing accuracy. The results can help estimate the residual phasing error and set requirements on segment polishing.

© 2011 Optical Society of America

OCIS Codes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(220.1140) Optical design and fabrication : Alignment
(220.5450) Optical design and fabrication : Polishing
(220.1080) Optical design and fabrication : Active or adaptive optics

ToC Category:
Optical Design and Fabrication

Original Manuscript: October 12, 2010
Revised Manuscript: December 13, 2010
Manuscript Accepted: December 13, 2010
Published: January 28, 2011

Natalia Yaitskova and Mitchell Troy, "Rolled edges and phasing of segmented telescopes," Appl. Opt. 50, 542-553 (2011)

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  1. A. Cordero-Dávila, J. González-García, M. Pedrayes-López, L. Alberto Aguilar-Chiu, J. Cuautle-Cortés, and C. Robledo-Sánchez, “Edge effects with the Preston equation for a circular tool and workpiece,” Appl. Opt. 43, 1250–1254 (2004). [CrossRef] [PubMed]
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  7. G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “Phasing the mirror segments of the Keck telescopes: the broadband phasing algorithm,” Appl. Opt. 37, 140–155 (1998). [CrossRef]
  8. G. Chanan, C. Ohara, and Mitchell Troy, “Phasing the mirror segments of the Keck telescopes II: the narrow-band phasing algorithm,” Appl. Opt. 39, 4706–4714 (2000). [CrossRef]
  9. N. Yaitskova, K. Dohlen, P. Dierickx, and L. Montoya, “Mach–Zehnder interferometer for piston and tip-tilt sensing in segmented telescopes: theory and analytical treatment,” J. Opt. Soc. Am. A 22, 1093–1105 (2005). [CrossRef]
  10. I. Surdej, N. Yaitskova, and F. Gonte, “On-sky performance of the Zernike phase contrast sensor for the phasing of segmented telescopes,” Appl. Opt. 49, 4053–4063 (2010). [CrossRef]
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  12. M. Cayrel, ESO, Karl Schwarzschildstrasse 2, D-85748 Garching b. Muenchen, Germany (private communication 2008), mcayrel@eso.org.
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