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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 13 — May. 1, 2013
  • pp: 2966–2973

Error analysis of the Golay3 optical imaging system

Quanying Wu, Junliu Fan, Feng Wu, Jun Zhao, and Lin Qian  »View Author Affiliations

Applied Optics, Vol. 52, Issue 13, pp. 2966-2973 (2013)

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We use aberration theory to derive a generalized pupil function of the Golay3 imaging system when astigmatisms exist in its submirrors. Theoretical analysis and numerical simulation using ZEMAX show that the point spread function (PSF) and the modulation transfer function (MTF) of the Golay3 sparse aperture system have a periodic change when there are piston errors. When the peak–valley value of the wavefront (PVtilt) due to the tilt error increases from zero to λ, the PSF and the MTF change significantly, and the change direction is determined by the location of the submirror with the tilt error. When PVtilt becomes larger than λ, the PSF and the MTF remain unvaried. We calculate the peaks of the signal-to-noise ratio (PSNR) resulting from the piston and tilt errors according to the Strehl ratio, and show that the PSNR decreases when the errors increase.

© 2013 Optical Society of America

OCIS Codes
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4830) Optical design and fabrication : Systems design

ToC Category:
Optical Design and Fabrication

Original Manuscript: December 17, 2012
Revised Manuscript: March 18, 2013
Manuscript Accepted: March 21, 2013
Published: April 22, 2013

Quanying Wu, Junliu Fan, Feng Wu, Jun Zhao, and Lin Qian, "Error analysis of the Golay3 optical imaging system," Appl. Opt. 52, 2966-2973 (2013)

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  1. T. A. Pauls, “Origins of sparse aperture imaging,” in Proceedings of IEEE Aerospace Conference (IEEE, 2001), pp. 1421–1426.
  2. N. J. Miller, M. P. Dierking, and B. D. Duncan, “Optical sparse aperture imaging, ” Appl. Opt. 46, 5933–5943 (2007). [CrossRef]
  3. A. Meinel and M. Meinel, “Extremely large sparse aperture telescope,” Opt. Photon. News 14(10), 26–29 (2003). [CrossRef]
  4. G. Rousset, L. M. Mugenier, F. Cassaing, and B. Sorrente, “Imaging with multi-aperture optical telescopes and an application,” C. R. Acad. Sci. Ser. IV Phys. Astrophys. 2, 1957–1968 (2001). [CrossRef]
  5. M. Lloyd-Hart and R. Dekany, “Progress in diffraction-limited imaging at the multiple mirror telescope with adaptive optics,” J. Opt. Soc. Am. A 11, 846–857 (1994). [CrossRef]
  6. D. B. DeYoung, J. D. Dillow, S. P. Corcoran, E. V. Andrews, J. Yellowhair, and K. DeVries, “Ground demonstration of an optical control system for a space-based sparse aperture telescope,” Proc. SPIE 3356, 1156–1167 (1998). [CrossRef]
  7. S.-J. Chung, D. W. Miller, and O. L. de Weck, “ARGOS testbed: study of multidisciplinary challenges of future spaceborne interferometric arrays,” Opt. Eng. 43, 2156–2167 (2004). [CrossRef]
  8. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University, 1999).
  9. F. J. Liu, W. Q. Ying, W. F. Liang, and S. T. Ting, “Design of Golay3 telescope system, ” Opt. Precision Eng. 19, 2677–2683 (2011).
  10. W. Feng, W. Q. Ying, and Q. Lin, “Analysis of the characteristics of the Golay3 multiple-mirror telescope,” Appl. Opt. 48, 643–652 (2009). [CrossRef]
  11. R. A. Buchroeder, “Tilted-component telescopes,” Appl. Opt. 9, 2169–2171 (1970). [CrossRef]
  12. N. Yaitskova and K. Dohlen, “Tip-tilt error for extremely large segmented telescopes: detailed theoretical point-spread-function analysis and numerical simulation results, ” J. Opt. Soc. Am. A 19, 1274–1285 (2002). [CrossRef]
  13. P. Wizinowich, B. Mcleod, M. Lloyd-Hart, J. R. P. Angel, D. Colucci, R. Dekany, D. McCarthy, D. Wittman, and I. Scott-Fleming, “Adaptive optics for array telescopes using piston-and-tilt wave-front sensing,” Appl. Opt. 31, 6036–6046 (1992). [CrossRef]
  14. J. L. Flores, M. Strojnik, G. Paez, and G. Garcia-Torales, “Effects of misalignment errors on the optical transfer functions of synthetic aperture telescopes,” Appl. Opt. 43, 5926–5932 (2004). [CrossRef]
  15. W. X. Hua, F. Qiang, S. Feng, and R. C. Hui, “Piston and tilt cophasing of segmented laser array using Shack-Hartmann sensor,” Opt. Express 20, 4663–4674 (2012). [CrossRef]
  16. J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts, 2005).
  17. Z. Y. Mo, Applied Optics, 3rd ed. (Publishing House of Electronics Industry, 2008).
  18. L. C. Chan and P. Whiteman, “Hardware-constrained hybrid coding of video imagery,” IEEE Trans. Aerosp. Electron. Syst. 19, 71–84 (1983). [CrossRef]

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