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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 9 — Sep. 1, 1999
  • pp: 2281–2285

Exact wave-front reconstruction from two lateral shearing interferograms

C. Elster and I. Weingärtner  »View Author Affiliations


JOSA A, Vol. 16, Issue 9, pp. 2281-2285 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002281


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Abstract

A new method is presented for the reconstruction of a one-dimensional wave front on the basis of difference measurements from two shearing interferograms. The proposed algorithm reconstructs any wave front exactly up to an arbitrary constant. The method is not restricted to small shears. However, the shearing parameters have to be chosen such that certain constraints are satisfied. A procedure for determining such shearing parameters is given. In addition, it is shown that the procedure is stable with respect to noise introduced into the differences.

© 1999 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

History
Original Manuscript: November 19, 1998
Revised Manuscript: February 8, 1999
Manuscript Accepted: February 8, 1999
Published: September 1, 1999

Citation
C. Elster and I. Weingärtner, "Exact wave-front reconstruction from two lateral shearing interferograms," J. Opt. Soc. Am. A 16, 2281-2285 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-9-2281

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