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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 14 — Jul. 2, 2012
  • pp: 15928–15944

Maximum-likelihood estimation of parameterized wavefronts from multifocal data

Julia A. Sakamoto and Harrison H. Barrett  »View Author Affiliations

Optics Express, Vol. 20, Issue 14, pp. 15928-15944 (2012)

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A method for determining the pupil phase distribution of an optical system is demonstrated. Coefficients in a wavefront expansion were estimated using likelihood methods, where the data consisted of multiple irradiance patterns near focus. Proof-of-principle results were obtained in both simulation and experiment. Large-aberration wavefronts were handled in the numerical study. Experimentally, we discuss the handling of nuisance parameters. Fisher information matrices, Cramér-Rao bounds, and likelihood surfaces are examined. ML estimates were obtained by simulated annealing to deal with numerous local extrema in the likelihood function. Rapid processing techniques were employed to reduce the computational time.

© 2012 OSA

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Image Processing

Original Manuscript: February 22, 2012
Revised Manuscript: May 30, 2012
Manuscript Accepted: June 6, 2012
Published: June 28, 2012

Julia A. Sakamoto and Harrison H. Barrett, "Maximum-likelihood estimation of parameterized wavefronts from multifocal data," Opt. Express 20, 15928-15944 (2012)

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