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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 6 — Mar. 16, 2009
  • pp: 4540–4552

Alternative Phase-Diverse Phase Retrieval algorithm based on Levenberg-Marquardt nonlinear optimization

Heng Mao and Dazun Zhao  »View Author Affiliations


Optics Express, Vol. 17, Issue 6, pp. 4540-4552 (2009)
http://dx.doi.org/10.1364/OE.17.004540


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Abstract

A modified Levenberg-Marquardt (MLM) algorithm is proposed to substitute for modified G-S (MGS) algorithm in some situations of phase-diverse phase retrieval wavefront sensing (WFS), such as the obstructed pupil, in which the second derivative information is specifically employed to eliminate the local minimum stagnation. Experiments have been performed to validate MLM algorithm in WFS accuracy (less than λ/30 RMS) referring to ZYGO interferometer results and in WFS repeatability (less than λ/200 RMS), even the dynamic range is more than 7λ PV. Moreover, experiments have shown the MLM algorithm is superior to the MGS algorithm both in WFS accuracy and repeatability.

© 2009 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.5070) Image processing : Phase retrieval
(120.3940) Instrumentation, measurement, and metrology : Metrology

ToC Category:
Image Processing

History
Original Manuscript: November 3, 2008
Revised Manuscript: December 14, 2008
Manuscript Accepted: January 2, 2009
Published: March 6, 2009

Citation
Heng Mao and Dazun Zhao, "Alternative phase-diverse phase retrieval algorithm based on Levenberg-Marquardt nonlinear optimization," Opt. Express 17, 4540-4552 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-6-4540


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