OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 13 — May. 1, 1999
  • pp: 2862–2869

Direct ray aberration estimation in Hartmanngrams by use of a regularized phase-tracking system

Manuel Servin, Francisco Javier Cuevas, Daniel Malacara, and Jose Luis Marroquin  »View Author Affiliations


Applied Optics, Vol. 38, Issue 13, pp. 2862-2869 (1999)
http://dx.doi.org/10.1364/AO.38.002862


View Full Text Article

Enhanced HTML    Acrobat PDF (1029 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The Hartmann test is a well-known technique for testing large telescope mirrors. The Hartmann technique samples the wave front under analysis by use of a screen of uniformly spaced array of holes located at the pupil plane. The traditional technique used to gather quantitative data requires the measurement of the centroid of these holes as imaged near the paraxial focus. The deviation from its unaberrated uniform position is proportional to the slope of the wave-front asphericity. The centroid estimation is normally done manually with the aid of a microscope or a densitometer; however, newer automatic fringe-processing techniques that use the synchronous detection technique or the Fourier phase-estimation method may also be used. Here we propose a new technique based on a regularized phase-tracking (RPT) system to detect the transverse aberration in Hartmanngrams in a direct way. That is, it takes the dotted pattern of the Hartmanngram as input, and as output the RPT system gives the unwrapped transverse ray aberration in just one step. Our RPT is compared with the synchronous and the Fourier methods, which may be regarded as its closest competitors.

© 1999 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(220.4840) Optical design and fabrication : Testing

History
Original Manuscript: August 21, 1998
Revised Manuscript: November 30, 1998
Published: May 1, 1999

Citation
Manuel Servin, Francisco Javier Cuevas, Daniel Malacara, and Jose Luis Marroquin, "Direct ray aberration estimation in Hartmanngrams by use of a regularized phase-tracking system," Appl. Opt. 38, 2862-2869 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-13-2862


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Ghozeil, “Hartmann and other screen tests,” in Optical Shop Testing, D. Malacara, ed. (Wiley, New York, 1992), pp. 367–396.
  2. M. Servin, D. Malacara, J. L. Marroquin, F. J. Cuevas, “New technique for ray aberration detection in Hartmanngrams based on regularized bandpass filters,” Opt. Eng. 35, 1677–1683 (1996). [CrossRef]
  3. K. H. Womack, “Interferometric phase measurement using spatial synchronous detection,” Opt. Eng. 23, 391–395 (1984). [CrossRef]
  4. M. Takeda, H. Ina, S. Kobayashi, “Fourier transform methods of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982). [CrossRef]
  5. M. Servin, J. L. Marroquin, F. J. Cuevas, “Demodulation of a single interferogram by use of a regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548 (1997). [CrossRef] [PubMed]
  6. D. C. Ghiglia, L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A 4, 107–117 (1994). [CrossRef]
  7. B. R. Hunt, “Matrix formulation of the reconstruction problem of phase values from phase differences,” J. Opt. Soc. Am. 69, 393–399 (1979). [CrossRef]
  8. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 375–378 (1977). [CrossRef]
  9. R. J. Noll, “Phase estimates from slope-type wave-front sensors,” J. Opt. Soc. Am. 68, 139–140 (1978). [CrossRef]
  10. A. N. Tikhonov, “Solution of incorrectly formulated problems and the regularization method,” Sov. Math. Dokl. 4, 1035–1038 (1963).

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