Abstract

Wavefront sensing using a Shack-Hartmann sensor has been widely used for estimating wavefront errors or distortions. The sensor combines the local slopes, which are estimated from the centroids of each lenslet image, to give the overall wavefront reconstruction. It was previously shown that the pupil-plane irradiance profile effects the centroid estimation. Furthermore, a previous study reported that the reconstructed wavefront from a planar wavefront with a Gaussian pupil irradiance profile contains large focus and spherical aberration terms when there is a focus error. However, it has not been reported yet how seriously the pupil irradiance profiles, which can occur in practical applications, effect the sensing errors. This paper considered two cases when the irradiance profiles are not uniform: 1) when the light source is Gaussian and 2) when there is a partial interference due to a double reflection by a beam splitting element. The images formed by a Shack-Hartmann sensor were simulated through fast Fourier transform and were then supposed to be detected by a noiseless CCD camera. The simulations found that sensing errors, due to the Gaussian irradiance profile and the partial interference, were found to be smaller than RMS <TEX>${\lambda}/50$</TEX> when <TEX>${\lambda}$</TEX> is <TEX>$0.6328\;{\mu}m$</TEX>, which can be ignored in most practical cases where the reference and test beams have the same irradiance profiles.

© 2006 Optical Society of Korea

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. J. H. Lee, D. D. Walker, and A. P. Doel, "Pupil plane wavefront sensing with a static pyramidal prism : Simulation and preliminary evaluation," J. Opt. Soc. Korea, vol. 4, no. 1, pp. 1-6, 2000
    [CrossRef]

2004 (1)

J. Arines and J. Ares, "Significance of thresholding process in centroid based gradient wavefront sensors: effective modulation of the wavefront derivative," Opt. Commun., vol. 237, pp. 257-266, 2004
[CrossRef]

2003 (1)

J. Primot, "Theoretical description of Shack-Hartmann wavefront sensor," Opt. Commun., vol. 222, pp. 81-92, 2003
[CrossRef]

2002 (1)

W.-Y. V. Leung, M. Tallon, and R.G. Lane, "Centroid estimation by model-fitting from undersampled wavefront sensing images," Opt. Commun., vol. 201, pp. 11-20, 2002
[CrossRef]

2001 (1)

H. Canabal, J. Alonso, and E. Bernabeu, "Laser beam deflectometry based on a subpixel resolution algorithm," Opt. Eng., vol. 40, pp. 2517-2523, 2001
[CrossRef]

2000 (3)

E. Moreno-Barriuso and R. Navarro, "Laser ray tracing versus Hartmann-Shack sensor for measuring optical aberrations in the human eye," J. Opt. Soc. Am., vol. 17, pp. 974-985, 2000
[CrossRef]

M. R. Whiteley, "Apparent wavefront aberration of a Gaussian source in a Hartmann wavefront sensor with focus error," Proc. SPIE, vol. 4007, pp. 470-480, 2000
[CrossRef]

J. H. Lee, D. D. Walker, and A. P. Doel, "Pupil plane wavefront sensing with a static pyramidal prism : Simulation and preliminary evaluation," J. Opt. Soc. Korea, vol. 4, no. 1, pp. 1-6, 2000
[CrossRef]

1999 (2)

F. Roddier, Adaptive Optics in Astronomy, (Cambridge University Press, Cambridge, 1999)

R. Irwan and R. G. Lane, "Analysis of optimal centroid estimation applied Shack-Hartmann sensing," Appl. Opt., vol. 38, pp. 6737-6743, 1999
[CrossRef]

1994 (1)

G. Cao and X. Yin, "Accuracy analysis of a Hartmann-Shack wavefront sensor operated with a faint object," Opt. Eng., vol. 33, pp. 2331-2335, 1994
[CrossRef]

1993 (1)

J. M. Beckers, "Adaptive Optics for Astronomy: Principles, Performance and Applications," Annual Review of Astronomy and Astrophysics, vol. 31, pp. 13-22, 1993
[CrossRef]

1989 (1)

J. S. Morgan, D. C. Slater, J. G. Timothy, and E. B. Jenkins, "Centroid position measurements and subpixel sensitivity variations with the MAMA detector," Appl. Opt., vol. 28, pp.1178-1192, 1989
[CrossRef]

1976 (1)

R. J. Noll, "Zernike polynomials and atmospheric turbulence," J. Opt. Soc. Am., vol. 66(3), p. 207-211, 1976
[CrossRef]

1971 (1)

V. I. Tatarskii, "The Effects of the Turbulent Atmosphere on Wave Propagation," (U.S. Department of Commerce, Springfield, 1971)

Annual Review of Astronomy and Astrophysics (1)

J. M. Beckers, "Adaptive Optics for Astronomy: Principles, Performance and Applications," Annual Review of Astronomy and Astrophysics, vol. 31, pp. 13-22, 1993
[CrossRef]

Applied Optics (2)

J. S. Morgan, D. C. Slater, J. G. Timothy, and E. B. Jenkins, "Centroid position measurements and subpixel sensitivity variations with the MAMA detector," Appl. Opt., vol. 28, pp.1178-1192, 1989
[CrossRef]

R. Irwan and R. G. Lane, "Analysis of optimal centroid estimation applied Shack-Hartmann sensing," Appl. Opt., vol. 38, pp. 6737-6743, 1999
[CrossRef]

Journal of the Optical Society of America (1)

R. J. Noll, "Zernike polynomials and atmospheric turbulence," J. Opt. Soc. Am., vol. 66(3), p. 207-211, 1976
[CrossRef]

Journal of the Optical Society of America A (1)

E. Moreno-Barriuso and R. Navarro, "Laser ray tracing versus Hartmann-Shack sensor for measuring optical aberrations in the human eye," J. Opt. Soc. Am., vol. 17, pp. 974-985, 2000
[CrossRef]

Journal of the Optical Society of Korea (1)

J. H. Lee, D. D. Walker, and A. P. Doel, "Pupil plane wavefront sensing with a static pyramidal prism : Simulation and preliminary evaluation," J. Opt. Soc. Korea, vol. 4, no. 1, pp. 1-6, 2000
[CrossRef]

Optical Engineering (2)

G. Cao and X. Yin, "Accuracy analysis of a Hartmann-Shack wavefront sensor operated with a faint object," Opt. Eng., vol. 33, pp. 2331-2335, 1994
[CrossRef]

H. Canabal, J. Alonso, and E. Bernabeu, "Laser beam deflectometry based on a subpixel resolution algorithm," Opt. Eng., vol. 40, pp. 2517-2523, 2001
[CrossRef]

Optics Communications (3)

J. Arines and J. Ares, "Significance of thresholding process in centroid based gradient wavefront sensors: effective modulation of the wavefront derivative," Opt. Commun., vol. 237, pp. 257-266, 2004
[CrossRef]

W.-Y. V. Leung, M. Tallon, and R.G. Lane, "Centroid estimation by model-fitting from undersampled wavefront sensing images," Opt. Commun., vol. 201, pp. 11-20, 2002
[CrossRef]

J. Primot, "Theoretical description of Shack-Hartmann wavefront sensor," Opt. Commun., vol. 222, pp. 81-92, 2003
[CrossRef]

Proceedings of SPIE (1)

M. R. Whiteley, "Apparent wavefront aberration of a Gaussian source in a Hartmann wavefront sensor with focus error," Proc. SPIE, vol. 4007, pp. 470-480, 2000
[CrossRef]

Other (3)

V. I. Tatarskii, "The Effects of the Turbulent Atmosphere on Wave Propagation," (U.S. Department of Commerce, Springfield, 1971)

Adaptive Optics Associates (Ltd).

F. Roddier, Adaptive Optics in Astronomy, (Cambridge University Press, Cambridge, 1999)

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