OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 1 — Jan. 9, 2006
  • pp: 138–147

Tolerance analysis method for Shack-Hartmann sensors using a variable phase surface

Costin Curatu, George Curatu, and Jannick Rolland  »View Author Affiliations

Optics Express, Vol. 14, Issue 1, pp. 138-147 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (467 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Even after good calibration, the measurement accuracy of a Shack-Hartmann sensor can be affected by the fabrication and alignment tolerances of the wavefront sensing optical system. The shifts of the Shack-Hartmann spots caused by misalignments correspond to ray intercept errors on the detector that typically have to be converted into a meaningful input wavefront measurement error. This conversion cannot be directly obtained from a conventional tolerance analysis using optical design software, because of the intrinsic wavefront sampling by the lenslet array. The tolerancing method proposed in this paper solves the problem of converting conventional merit function degradation into input wavefront measurement error without employing a separate wavefront reconstruction algorithm. Using the proposed method, this investigation shows the effect of fabrication and misalignment errors on the accuracy of a calibrated Shack-Hartmann sensor, as a function of input wavefront vergence.

© 2006 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(120.3620) Instrumentation, measurement, and metrology : Lens system design
(220.4830) Optical design and fabrication : Systems design
(220.4840) Optical design and fabrication : Testing

ToC Category:
Instrumentation, Measurement, and Metrology

Costin Curatu, George Curatu, and Jannick Rolland, "Tolerance analysis method for Shack-Hartmann sensors using a variable phase surface," Opt. Express 14, 138-147 (2006)

Sort:  Journal  |  Reset  


  1. Joseph M. Geary, Introduction to Wavefront Sensors (SPIE PRESS, Bellingham, WA, 1995).
  2. R.K.Tyson, Introduction to Adaptive Optics (SPIE PRESS Bellingham, WA, 2000). [CrossRef]
  3. J. Liang, B. Grimm, S. Goelz, and J. Bille, "Objective measurement of wave aberrations of the human eye with use of a Hartmann-Shack wave-front sensor," J. Opt. Soc. Am. A 11, 1949-1957 (1994). [CrossRef]
  4. W. H. Southwell. "Wavefront estimation from wavefront slope measurements," J. Opt. Soc. Am. 70, 998- 1006 (1980). [CrossRef]
  5. Adaptive Optics Associates Inc. "Classic Hartmann Technique", <a href="http://www.aoainc.com/technologies/adaptiveandmicrooptics/tutorial.html">http://www.aoainc.com/technologies/adaptiveandmicrooptics/tutorial.html</a>
  6. C. Curatu, G. Curatu, "Tolerance analysis of optical systems containing sampling devices" in Optical Design and Engineering II, L. Mazuray and R. Wartmann, eds., Proc. SPIE 5962, 359-366 (2005).
  7. J. Pfund, N. Lindlein, and J. Schwider, "Misalignment effects of the Shack-Hartmann sensor ," Appl. Opt. 37, 22-27 (1998). [CrossRef]
  8. Mary G. Turner, Tolerancing and Alignment using ZEMAX, (Focus Software, Inc., 2000
  9. R. C. Juergens, Code V Reference Manual, (Optical Research Associates, 2005).
  10. G. Curatu, D. V. Wick, D. M Payne, T. Martinez, J. Harriman, J. E. Harvey, "Wide field-of-view imaging system using a liquid crystal spatial light modulator," in Current Developments in Lens Design and Optical Engineering VI, P. Z. Mouroulis, W. J. Smith, and R. B. Johnson, eds., Proc. SPIE 5874, 80-86 (2005).

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