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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 23 — Aug. 10, 1998
  • pp: 5421–5426

Algebraic reconstruction of a small-scale wave front

Tohru Takahashi, J. Christopher Dainty, and Hiroaki Takajo  »View Author Affiliations


Applied Optics, Vol. 37, Issue 23, pp. 5421-5426 (1998)
http://dx.doi.org/10.1364/AO.37.005421


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Abstract

We show that a small-scale wave front can be reconstructed by an algebraic procedure from its intensity distribution in the focal plane, except for the ambiguities of the piston phase and the point-symmetrical solution of the complex conjugate. Details of the reconstruction procedure for a 3 × 3 wave front are presented, and the effectiveness of this procedure for a contaminated case is shown by computer simulation. A method for overcoming the ambiguity problem resulting from the point-symmetrical solution is also suggested.

© 1998 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
(100.3010) Image processing : Image reconstruction techniques
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval

History
Original Manuscript: October 20, 1997
Revised Manuscript: April 14, 1998
Published: August 10, 1998

Citation
Tohru Takahashi, J. Christopher Dainty, and Hiroaki Takajo, "Algebraic reconstruction of a small-scale wave front," Appl. Opt. 37, 5421-5426 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-23-5421

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