Method for evaluating lateral shearing interferograms

Applied Optics
M P Rimmer

Abstract

Wavefront shearing interferometers have inherent advantages over more conventional interferometers because they do not need a separate reference wavefront. However, the fringe patterns are less directly related to the wavefront shape. In this paper, a method is described that uses data obtained from two lateral shear interferograms sheared in orthogonal directions to describe a wavefront of any arbitrary shape. Analysis of the data defines the wavefront on a regular grid, using a least squares criterion to match the measured data to the reconstructed shear data. Because each point on the final wavefront is involved in at most four measurements, the matrices tend to have many zero elements, making them easily solvable by simple numerical techniques, even for several hundred points. An error analysis indicates that the accuracy of the final results can be as good as the accuracy of the measured data. The procedure is described, and results of a typical analysis are shown.

References

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Citations

Oct 22, 2004·Applied Optics·Robert H WebbStephen A Burns
Feb 21, 2006·Applied Optics·C R Vogel, Q Yang
Jun 4, 2008·Physical Review Letters·M D de JongeS Vogt
Nov 1, 1992·Applied Optics·N BobroffM Hatzakis
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Sep 15, 2015·Optics Express·Jean-Michel DesseFrançois Olchewsky
Dec 4, 2012·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Fengzhao DaiOsami Sasaki
Dec 15, 2017·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Biswajit Pathak, Bosanta R Boruah
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Jul 17, 2020·Optics Express·Vyas Akondi, Alfredo Dubra
May 19, 2005·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Weiyao Zou, Jannick P Rolland
Feb 1, 1988·Applied Optics·K Omura, T Yatagai

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