Maximum-likelihood estimation of parameterized wavefronts from multifocal data

Julia A. Sakamoto, Harrison H Barrett

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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, Crameér-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.

Original languageEnglish (US)
Pages (from-to)15928-15944
Number of pages17
JournalOptics Express
Volume20
Issue number14
DOIs
StatePublished - Jul 2 2012

Fingerprint

Cramer-Rao bounds
Fisher information
simulated annealing
range (extremes)
pupils
irradiance
aberration
expansion
coefficients
estimates
matrices
simulation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Maximum-likelihood estimation of parameterized wavefronts from multifocal data. / Sakamoto, Julia A.; Barrett, Harrison H.

In: Optics Express, Vol. 20, No. 14, 02.07.2012, p. 15928-15944.

Research output: Contribution to journalArticle

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