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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 17 — Aug. 17, 2009
  • pp: 15257–15263

Linear phase retrieval with a single far-field image based on Zernike polynomials

Min Li and Xin-Yang Li  »View Author Affiliations

Optics Express, Vol. 17, Issue 17, pp. 15257-15263 (2009)

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Wavefront aberrations can be represented accurately by a number of Zernike polynomials. We develop a method to retrieve small-phase aberrations from a single far-field image with a Zernike modal-based approach. The difference between a single measured image with aberration and a calibrated image with inherent aberration is used in the calculation process. In this paper, the principle of linear phase retrieval is introduced in a vector–matrix format, which is a kind of linear calculation and is suitable for real-time calculation. The results of numerical simulations on atmosphere-disturbed phase aberrations show that the proposed Zernike modal-based linear phase retrieval method works well when the rms of phase error is less than 1 rad, and it is valid in a noise condition when the signal-to-noise ratio (SNR)>3.

© 2009 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

Original Manuscript: April 16, 2009
Revised Manuscript: July 20, 2009
Manuscript Accepted: July 23, 2009
Published: August 14, 2009

Min Li and Xin-Yang Li, "Linear phase retrieval with a single far-field image based on Zernike polynomials," Opt. Express 17, 15257-15263 (2009)

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