OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 35, Iss. 10 — Apr. 1, 1996
  • pp: 1593–1596

Variable separation in curvature sensing: fast method for solving the irradiance transport equation in the context of optical telescopes

Luis Salas  »View Author Affiliations

Applied Optics, Vol. 35, Issue 10, pp. 1593-1596 (1996)

View Full Text Article

Enhanced HTML    Acrobat PDF (200 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A method to evaluate wave-front aberrations in optical telescopes that is based on the method of curvature sensing but that solves the irradiance transport equation by variable separation is presented. This technique is simpler for processing than are previously released techniques and can perform more efficiently, as is required by active and adaptive optics. Testing for consistency of the method by evaluation of several sets of out-of-focus images obtained with the 2-m telescope at the Universidad Nacional Autónoma de México was carried out, and a stability of 10% for the derived values of Zernike coefficients was found.

© 1996 Optical Society of America

Original Manuscript: July 20, 1995
Revised Manuscript: October 31, 1995
Published: April 1, 1996

Luis Salas, "Variable separation in curvature sensing: fast method for solving the irradiance transport equation in the context of optical telescopes," Appl. Opt. 35, 1593-1596 (1996)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. Roddier, F. Roddier, “Wave-front reconstruction from defocused images and the testing of ground-based optical telescopes,” J. Opt. Soc. Am. A 10, 2277–2287 (1993). [CrossRef]
  2. F. Roddier, C. Roddier, “Wavefront reconstruction using iterative Fourier transforms,” Appl. Opt. 30, 1325–1327 (1991). [CrossRef] [PubMed]
  3. K. Ichikawa, A. W. Lohmann, M. Takeda, “Phase retrieval based on the irradiance transport equation and the Fourier transform method: experiments,” Appl. Opt. 27, 3433–3436 (1988). [CrossRef] [PubMed]
  4. I. Han, “New method for estimating the wave front from the curvature signal by curve fitting,” Opt. Eng. 34, 1232–1237 (1995). [CrossRef]
  5. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976). [CrossRef]
  6. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, U.K., 1975), Chap. 9, p. 464.
  7. A. Cordero, E. Luna, S. Zárate, O. Harris, “Evaluación de la calidad de la imagen del telescopio de 2.1 m,” Tech. rep. 95-02 (Instituto de Astronomía, Universidad Autónoma de México, San Pedro Mártir, Baja California, México, 1995).
  8. W. H. Press, B. P. Flannery, S. Tevkolsky, W. T. Vetterling, Numerical Recipes in C, 1st ed. (Cambridge U. Press, Cambridge, 1988), Chap. 10, p. 343.

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.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited