OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1098–1107

New modal wave-front sensor: a theoretical analysis

Mark A. A. Neil, Martin J. Booth, and Tony Wilson  »View Author Affiliations

JOSA A, Vol. 17, Issue 6, pp. 1098-1107 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (420 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a new design of a modal wave-front sensor capable of measuring directly the Zernike components of an aberrated wave front. The sensor shows good linearity for small aberration amplitudes and is particularly suitable for integration in a closed-loop adaptive system. We introduce a sensitivity matrix and show that it is sparse, and we derive conditions specifying which elements are necessarily zero. The sensor may be temporally or spatially multiplexed, the former using a reconfigurable optical element, the latter using a numerically optimized binary optical element. Different optimization schemes are discussed, and their performance is compared.

© 2000 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
(050.1380) Diffraction and gratings : Binary optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics

Original Manuscript: August 20, 1999
Manuscript Accepted: February 15, 2000
Published: June 1, 2000

Mark A. A. Neil, Martin J. Booth, and Tony Wilson, "New modal wave-front sensor: a theoretical analysis," J. Opt. Soc. Am. A 17, 1098-1107 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. W. Hardy, Adaptive Optics for Astronomical Telescopes (Oxford U. Press, Oxford, UK, 1998).
  2. R. K. Tyson, Principles of Adaptive Optics (Academic, London, 1991).
  3. M. J. Booth, M. A. A. Neil, T. Wilson, “Aberration correction for confocal imaging in refractive index mismatched media,” J. Microsc. 192, 90–98 (1998). [CrossRef]
  4. P. Török, P. Varga, G. Nemeth, “Analytical solution of the diffraction integrals and interpretation of wave-front distortion when light is focused through a planar interface between materials of mismatched refractive indices,” J. Opt. Soc. Am. A 12, 2660–2671 (1995). [CrossRef]
  5. F. Roddier, “Curvature sensing and compensation: a new concept in adaptive optics,” Appl. Opt. 27, 1223–1225 (1988). [CrossRef] [PubMed]
  6. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976). [CrossRef]
  7. V. N. Mahajan, “Zernike circle polynomials and optical aberrations of systems with circular pupils,” Eng. Lab. Notes in Opt. Photon. News, Aug. 1994 [Appl. Opt. 33, 8121–8124 (1994)]. [CrossRef] [PubMed]
  8. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1975).
  9. A. Gray, G. B. Matthews, A Treatise on Bessel Functions and Their Applications to Physics (Dover, New York, 1966).
  10. V. N. Mahajan, “Zernike annular polynomials and optical aberrations of systems with annular pupils,” Eng. Lab. Notes in Opt. Photon. News, Nov.1994 [Appl. Opt. 33, 8125–8127 (1994)]. [CrossRef] [PubMed]
  11. M. Abramovitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
  12. W. H. Lee, “Computer-generated holograms: techniques and applications,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 1978), Chap. 3.
  13. M. A. A. Neil, M. J. Booth, T. Wilson, “Dynamic wave-front generation for the characterization and testing of optical systems,” Opt. Lett. 23, 1849–1851 (1998). [CrossRef]

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 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited