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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.17.001098


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Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-6-1098


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References

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  2. R. K. Tyson, Principles of Adaptive Optics (Academic, London, 1991).
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  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]
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  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]

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