Sorting method to extend the dynamic range of the Shack-Hartmann wave-front sensor

Applied Optics

Volumn 44, Issue 23, 2005, Pages 4838-4845

  Lee, Junwon ^a   Shack, Roland V ^b   Descour, Michael R ^b  

^a EASTMAN KODAK COMPANY   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER HARDWARE; MATHEMATICAL TECHNIQUES; MEASUREMENT THEORY; SORTING;

DYNAMIC RANGE; FOCAL SPOTS; SORTING METHODS; WAVE-FRONT SENSORS;

OPTICAL SENSORS;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; EQUIPMENT; EQUIPMENT DESIGN; EVALUATION; IMAGE ENHANCEMENT; INSTRUMENTATION; METHODOLOGY; OPHTHALMOSCOPE; OPHTHALMOSCOPY; REFRACTOMETRY; TRANSDUCER;

ALGORITHMS; EQUIPMENT DESIGN; EQUIPMENT FAILURE ANALYSIS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; OPHTHALMOSCOPES; OPHTHALMOSCOPY; REFRACTOMETRY; TRANSDUCERS;

EID: 24344498712     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.44.004838     Document Type: Article

References (25)

1. B. C. Platt and R. Shack, "History and principles of Shack-Hartmann wave-front sensing," J. Refract. Surg. 17, s573-s577 (2001).
2. I. Ghozeil, "Hartmann and other screen tests," in Optical Shop Testing, D. Malacara, ed., Wiley Series in Pure and Applied Optics (Wiley, 1992), pp. 367-396.
3. J. W. Hardy, "Adaptive optics: a new technology for the control of light," Proc. IEEE 66, 651-697 (1978).
4. C. J. Solomon, J. C. Dainty, and N. J. Wooder, "Bayesian estimation of atmospherically distorted wave fronts using Shack-Hartmann sensor," Opt. Rev. 2, 217-220 (1995).
5. J. Liang, B. Grimm, S. Goelz, and J. F. Bille, "Objective measurement of wave aberrations of the human eye with the use of a Hartmann-Shack wave-front sensor," J. Opt. Soc. Am. A11, 1949-1957 (1994).
6. J. Liang and D. R. Williams, "Aberrations and retinal image quality of the normal human eye," J. Opt. Soc. Am. A 14, 2873-2883 (1997).
7. D. L. Fried, "Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements," J. Opt. Soc. Am. 67, 360-369 (1977).
8. R. J. Noll, "Phase estimates from slope-type wave-front sensors," J. Opt. Soc. Am. 68, 139-140 (1978).
9. W. H. Southwell, "Wave-front estimation from wave-front slope measurement," J. Opt. Soc. Am. 70, 998-1006 (1980).
10. J. Hermann, "Least-squares wave-front errors of minimum norm," J. Opt. Soc. Am. 70, 28-35 (1980).
11. G. H. Golub and C. F. van Loan, Matrix Computations, 2nd ed. (Johns Hopkins U. Press, 1989), Chap. 2, pp. 48-86.
12. ++, 2nd ed. (Cambridge U. Press, 1993), Chap. 2, pp. 35-107.
13. Å. Bjørk, Numerical Methods for Least Squares Problems, 1st ed. (Society for Industrial and Applied Mathematics, 1996), Chap. 1, pp. 1-36.
14. H. H. Barrett and K. J. Myers, Foundations of Image Science, 1st ed. (Wiley, 2003), Chap. 1, pp. 1-62.
15. J. Pfund, N. Lindlein, and J. Schwider, "Dynamic range expansion of a Shack-Hartmann sensor by using a modified unwrapping algorithm," Opt. Lett. 23, 995-997 (1998).
16. T. L. Bruno, A. Wirth, and A. J. Jankevics, "Applying Hartmann wavefront-sensing technology to precision optical testing of the HST correctors," in Active and Adaptive Optical Components and Systems II, M. A. Ealey, ed., Proc. SPIE 1920, 328-336 (1993).
17. M. C. Roggermann and T. J. Schulz, "Algorithm to increase the largest aberration that can be reconstructed from Hartmann sensor measurements," Appl. Opt. 87, 4321-4329 (1998).
18. S. Groening, B. Sick, K. Donner, J. Pfund, N. Lindlein, and J. Schwider, "Wave-front reconstruction with a Shack-Hartmann sensor with an iterative spline fitting method," Appl. Opt. 39, 561-567 (2000).
19. N. Lindlein, J. Pfund, and J. Schwider, "Expansion of the dynamic range of a Shack-Hartmann sensor by using astigmatic microlenses," Opt. Eng. 39, 2220-2225 (2000).
20. N. Lindlein, J. Pfund, and J. Schwider, "Algorithm for expanding the dynamic range of a Shack-Hartmann sensor by using a spatial light modulator array," Opt. Eng. 40, 837-840 (2001).
21. G. Rousset, "Wave-front sensing," in Adaptive Optics for Astronomy, D. M. Alloin and J.-M. Mariotti, eds., Vol. 423 of NATO Advanced Science Institutes Series (Kluwer Academic, 1994), pp. 115-138.
22. J. C. Wyant, "Zernike polynomial," Optical Science Center, University of Arizona, Tucson, Arizona, 1999, http://www.optics.arizona.edu/ jcwyant/Zernikes/ZernikePolynomials.htm.
23. G. E. Sommargren, "Phase shifting diffraction interferometry for measuring extreme ultraviolet optics," in Extreme Ultraviolet Lithography, G. D. Kubiak and D. R. Kania, eds., Vol. 4 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1996), pp. 108-112.
24. CDM Optics, Inc., Suite 2110, 4001 Discovery Drive, Boulder, Colo. 80303, http://www.cdm-optics.com.
25. E. R. Dowski and W. T. Cathey, "Extended depth of field through wave-front coding," Appl. Opt. 34, 1859-1866 (1995).