OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 20 — Oct. 6, 2003
  • pp: 2577–2588

Performance analysis of curvature sensors: optimum positioning of the measurement planes

M. Soto, E. Acosta, and S. Ríos  »View Author Affiliations


Optics Express, Vol. 11, Issue 20, pp. 2577-2588 (2003)
http://dx.doi.org/10.1364/OE.11.002577


View Full Text Article

Enhanced HTML    Acrobat PDF (248 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Curvature sensors are used to measure wave-front aberrations in a number of different applications ranging from adaptive optics to optical testing. In practice, their performance is limited not only by the quality of the detector used for irradiance measurements but also by the separation between measurement planes used for the calculation of the axial derivative of intensity. This work resolves the problem of determining the separation between intensity measurement planes thus optimizing the variance in experimental measurements. To do this, the variance of the local curvature of the phase will be analyzed as a function of the noise level in the measurements and the separation between planes. Moreover, error bounds will be established for experimental measurements.

© 2003 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.5070) Image processing : Phase retrieval
(110.4280) Imaging systems : Noise in imaging systems
(220.1000) Optical design and fabrication : Aberration compensation
(280.7060) Remote sensing and sensors : Turbulence

ToC Category:
Research Papers

History
Original Manuscript: August 6, 2003
Revised Manuscript: September 12, 2003
Published: October 6, 2003

Citation
M. Soto, E. Acosta, and S. Ríos, "Performance analysis of curvature sensors: optimum positioning of the measurement planes," Opt. Express 11, 2577-2588 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-20-2577


Sort:  Journal  |  Reset  

References

  1. F. Roddier, �??Curvature Sensing: a new concept in adaptive optics,�?? Appl. Opt. 27, 1223-1225 (1988). [CrossRef] [PubMed]
  2. F. Roddier, C. Roddier, N. Roddier, �??Curvature Sensing: a new wavefront sensing method,�?? Proc. Soc. Photo-Opt Instrum. Eng. 976, 203-209 (1988).
  3. C. Roddier, F. Roddier, �??Wave-front reconstruction from defocused images and the testing of ground-based optical telescopes,�?? J. Opt. Soc. Am. A 11, 2277-2287 (1993). [CrossRef]
  4. A. Barty, K. A. Nugent, D. Paganin, A. Roberts, �??Quantitative optical phase microscopy,�?? Optics Letters, 11, 817-819 (1998). [CrossRef]
  5. A. Barty, K. A. Nugent, A. Roberts, D. Paganin, �??Quantitative phase tomography,�?? Opt. Commun. 175, 329-336 (2000). [CrossRef]
  6. G. Ganesh Chandan, R. M. Vasu, S. Asokan, �??Tomographic imaging of phase objects in turbid media through quantitative estimate of phase of ballistic light,�?? Opt. Commun. 191, 9-14 (2001). [CrossRef]
  7. J. A. Quiroga, J. A. Gómez-Pedrero, J. C. Martínez-Antón, �??Wavefront measurement by solving the irradiance transport equation for multifocal systems,�?? Opt. Eng. 40, 2885-2891 (2001). [CrossRef]
  8. M. Toyoda, K. Araki, Y. Suzuki, �??Wave-front tilt sensor with two cuadrant detectors and its application to a laser beam pointing system,�?? Appl. Opt. 41, 2219-2223 (2002). [CrossRef]
  9. P.J. Fox, T. R. Mackin, L. D. Turner, I. Colton, K. A. Nugent, R. E. Scholten, �??Noninterferometric phase imaging of a neutral atomic beam,�?? J. Opt. Soc. Am. B 8, 1773-1776 (2002) 1773. [CrossRef]
  10. M. R. Teague, �??Deterministic phase retrieval: a Green�??s function solution,�?? J. Opt. Soc. Am. A 1, 1434-1441 (1983).
  11. M. Milman, D. Redding, L. Needels, �??Analysis of curvature sensing for large-aperture adaptive optics systems,�?? J. Opt. Soc. Am. A 13, 1226-1238 (1996). [CrossRef]
  12. K. F. Riley, M. P. Hobson, S. J. Bence, Mathematical methods for physics and engineering (University Press, Cambridge, 1997), Chap. 3.
  13. M. Born, E. Wolf, Principles of Optics (University Press, Cambridge, 1980), App. III.
  14. M. C. Roggemann, B. Welsh, Imaging through turbulence (CRC Press, Florida, 1996), Chap. 3.

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