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Applied Optics

Applied Optics


  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4457–4467

Optimal wave-front reconstruction for a coherent diffracted field

William W. Arrasmith, Michael Roggemann, and Byron Welsh  »View Author Affiliations

Applied Optics, Vol. 37, Issue 20, pp. 4457-4467 (1998)

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Phase differences in the far field of a coherently illuminated object are used to estimate the two-dimensional phase in the measurement plane of an imaging system. A previously derived phase-correlation function is used in a minimum-variance phase-estimation algorithm to map phase-difference measurements optimally to estimates of the phase on a grid of points in the measurement plane. Theoretical and computer-simulation comparisons between the minimum-variance phase estimator and conventional least-squares estimators are made. The minimum-variance phase estimator produces a lower aperture-averaged mean-square phase error for all values of a sampling parameter β.

© 1998 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(100.0100) Image processing : Image processing
(100.3010) Image processing : Image reconstruction techniques
(110.1650) Imaging systems : Coherence imaging

Original Manuscript: February 13, 1998
Revised Manuscript: March 9, 1998
Published: July 10, 1998

William W. Arrasmith, Michael Roggemann, and Byron Welsh, "Optimal wave-front reconstruction for a coherent diffracted field," Appl. Opt. 37, 4457-4467 (1998)

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