OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4321–4329

Algorithm to increase the largest aberration that can be reconstructed from Hartmann sensor measurements

Michael C. Roggemann and Timothy J. Schulz  »View Author Affiliations


Applied Optics, Vol. 37, Issue 20, pp. 4321-4329 (1998)
http://dx.doi.org/10.1364/AO.37.004321


View Full Text Article

Acrobat PDF (576 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Conventional Hartmann sensor processing relies on locating the centroid of the image that is formed behind each element of a lenslet array. These centroid locations are used for computing the local gradient of the incident aberration, from which the phase of the incident wave front is calculated. The largest aberration that can reliably be sensed in a conventional Hartmann sensor must have a local gradient small enough that the spot formed by each lenslet is confined to the area behind the lenslet: If the local gradient is larger, spots form under nearby lenslets, causing a form of cross talk between the wave-front sensor channels. We describe a wave-front reconstruction algorithm that processes the whole image measured by a Hartmann sensor and a conventional image that is formed by use of the incident aberration. We show that this algorithm can accurately estimate aberrations for cases in which the aberration is strong enough to cause many of the images formed by individual lenslets to fall outside the local region of the Hartmann sensor detector plane defined by the edges of a lenslet.

© 1998 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(050.5080) Diffraction and gratings : Phase shift
(130.6010) Integrated optics : Sensors
(220.1010) Optical design and fabrication : Aberrations (global)

Citation
Michael C. Roggemann and Timothy J. Schulz, "Algorithm to increase the largest aberration that can be reconstructed from Hartmann sensor measurements," Appl. Opt. 37, 4321-4329 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-20-4321


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. M. C. Roggemann and B. M. Welsh, Imaging through Turbulence (CRC, Boca Raton, Fla., 1996).
  2. R. Q. Fugate, B. L. Ellerbroek, C. H. Higgins, M. P. Jelonek, W. J. Lange, A. C. Slavin, W. J. Wild, D. M. Winker, J. M. Wynia, J. M. Spinhirne, B. R. Boeke, R. E. Ruane, J. F. Moroney, M. D. Oliker, D. W. Sindle, and R. A. Cleis, “Two generations of laser-guide-star adaptive-optics experiments at the starfire optical range,” J. Opt. Soc. Am. A 11, 310–314 (1994).
  3. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976).
  4. A. Watson, “Hubble successor gathers support,” Science 272, 1735 (1996).
  5. T. Reichhardt, A. Abbott, and D. Swinbanks, “What will be the next big thing?” Nature (London) 381, 465 (1996).
  6. J. R. Feinup, J. C. Marron, T. J. Schulz, and J. H. Seldin, “Hubble space telescope characterized by using phase-retrieval algorithms,” Appl. Opt. 32, 1747–1767 (1993).
  7. A. Wirth, A. Jankevics, F. Landers, C. Baird, and T. Berkopec, “Final report on the testing of the CIRS telescopes using the Hartmann technique,” Tech. Rep. NAS5–31786, Task 013 (Adaptive Optics Associates, Cambridge, Mass., 1993).
  8. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  9. J. R. Feinup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982).
  10. D. A. Pierre, Optimization Theory with Applications (Dover, New York, 1986).
  11. M. A. Branch and A. Grace, MATLAB Optimization Toolbox (Math Works, Natick, Mass., 1996).
  12. A. V. Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and Systems, 2nd ed. (Prentice-Hall, Englewood Cliffs, N.J., 1997).
  13. R. C. Gonzalez and R. E. Woods, Digital Image Processing (Addison-Wesley, Reading, Mass., 1993).
  14. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1964).

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.


Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited