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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2640–2647

Complex pupil retrieval with undersampled data

Samuel T. Thurman and James R. Fienup  »View Author Affiliations

JOSA A, Vol. 26, Issue 12, pp. 2640-2647 (2009)

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The ability to retrieve the complex-valued, generalized pupil function of an imaging system from undersampled measurements of the defocused system point spread function (PSF) is examined through numerical simulations. The ability to do so degrades as the detector pixel pitch increases when using a fixed number of PSF measurements. Two strategies for obtaining better results with undersampled data are demonstrated using additional PSF measurements with (i) random shifts due to system pointing fluctuations and (ii) intermediate amounts of defocus.

© 2009 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.5070) Image processing : Phase retrieval
(110.0110) Imaging systems : Imaging systems
(110.4850) Imaging systems : Optical transfer functions

ToC Category:
Imaging Systems

Original Manuscript: June 9, 2009
Manuscript Accepted: October 12, 2009
Published: November 20, 2009

Samuel T. Thurman and James R. Fienup, "Complex pupil retrieval with undersampled data," J. Opt. Soc. Am. A 26, 2640-2647 (2009)

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