OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 31, Iss. 30 — Oct. 20, 1992
  • pp: 6510–6518

Remote alignment of segmented mirrors with far-field optimization

Naresh C. Mehta and Clinton W. Allen  »View Author Affiliations

Applied Optics, Vol. 31, Issue 30, pp. 6510-6518 (1992)

View Full Text Article

Enhanced HTML    Acrobat PDF (1423 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A novel approach for the remote alignment of segmented mirrors is presented. In comparison with conventional methods in which near-field measurements (in the form of displacements between neighboring segments or phase across the mirror) are used in a feedback control system, the far-field optimization method utilizes only attributes of the point-spread function. A figure of merit based on the far-field intensity is used to configure iteratively the segmented mirror to alignment. Following computer simulations, we conduct successful laboratory experiments to validate the far-field optimization concept. The potential utility of far-field optimization to the alignment of other adaptive optical systems and to dynamic wave-front control is briefly discussed.

© 1992 Optical Society of America

Original Manuscript: August 23, 1991
Published: October 20, 1992

Naresh C. Mehta and Clinton W. Allen, "Remote alignment of segmented mirrors with far-field optimization," Appl. Opt. 31, 6510-6518 (1992)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. W. Sinnot, “The Keck telescope’s giant eye,” Sky & Telescope 80, 15–22 (1990).
  2. D. S. Acton, “Real-time solar imaging with a 19-segment active mirror system: a study of the standard atmospheric turbulence model,” Ph.D. dissertation (Texas Tech University, Lubbock, Tex., 1990).
  3. D. S. Acton, R. C. Smithson, “Results from the Lockheed solar adaptive optics system,” in Proceedings of the Tenth Sacramento Peak Summer Workshop on High Spatial Resolution Solar Observations, O. von der Luhe, ed. (National Solar Observatory, Sunspot, N.M., 1989), pp. 71–80.
  4. J. D. Downie, J. W. Goodman, “Optimal wavefront control for adaptive segmented mirrors,” Appl. Opt. 24, 5326–5332 (1989). [CrossRef]
  5. G. A. Chanan, J. E. Nelson, T. S. Mast, “Segment alignment for the Keck telescope primary mirror,” in Advanced Technology Optical Telescopes III, L. D. Barr, ed., Proc. Soc. Photo-Opt. Instrum. Eng.628, 466–473 (1986). [CrossRef]
  6. R. V. Digumarthi, N. C. Mehta, “Mathematical optimization method for wavefront control,” Tech. Rep. F229027 (Lockheed Missile and Space Company, Sunnyvale, Calif., 1990).
  7. R. A. Muller, A. Buffington, “Real-time correction of atmospherically degraded telescope images through image sharpening,” J. Opt. Soc. Am. 64, 1200–1210 (1974). [CrossRef]
  8. A. Buffington, F. S. Crawford, R. A. Muller, A. J. Schwemin, R. G. Smits, “Correction of atmospheric distortion with an image-sharpening telescope,” J. Opt. Soc. Am. 67, 298–303 (1977). [CrossRef]
  9. A. Buffington, F. S. Crawford, R. A. Muller, C. D. Orth, “First observatory results with an image-sharpening telescope,” J. Opt. Soc. Am. 67, 304–305 (1977). [CrossRef]
  10. T. R. O’Meara, “The multidither principle in adaptive optics,” J. Opt. Soc. Am. 67, 306–315 (1977). [CrossRef]
  11. E. Ribak, J. Adler, S. G. Lipson, “Telescope phasing by simulated annealing,” in Amplitude and Intensity Spatial Interferometry, J. B. Breckinridge, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1237, 183–189 (1990).
  12. J. A. Nelder, R. Mead, “A simplex method for function minimization,” Comput. J. 7, 308–313 (1965).
  13. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. Vettering, Numerical Recipes (Cambridge U. Press, Cambridge, 1986), p. 289.
  14. D. L. Fried, “Statistics of a geometric representation of wavefront distortion,” J. Opt. Soc. Am. 55, 1427–1435 (1965). [CrossRef]
  15. E. K. Hege, J. M. Beckers, P. A. Strittmatter, D. W. McCarthy, “Multiple mirror telescope as a phased array telescope,” Appl. Opt. 24, 2565–2576 (1985). [CrossRef] [PubMed]
  16. C. R. De Hainaut, D. K. Marker, D. C. Duneman, R. C. Dymale, J. P. Blea, “Wide field of view phased array telescope,” in Advanced Technology Optical Telescopes IV, L. D. Barr, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1236, 402–411 (1990).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited