Blind phase shift extraction and wavefront retrieval by two-frame phase-shifting interferometry with an unknown phase shift

An iterative algorithm to extract the arbitrary unknown phase shift in two-frame phase-shifting interferometry and then reconstruct the complex object wave is proposed. In combination with the least square principle and some calculation formulae we developed, this algorithm allows us to find the val...

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Bibliographic Details
Published in:Optics communications 2007-05, Vol.273 (1), p.54-59
Main Authors: Xu, X.F., Cai, L.Z., Wang, Y.R., Meng, X.F., Zhang, H., Dong, G.Y., Shen, X.X.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Holographic interferometry
Holographic interferometry
other holographic techniques
Holography
Image forming and processing
Image reconstruction
Image reconstruction
tomography
Imaging and optical processing
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Interferometers
Optical instruments, equipment and techniques
Optics
Phase retrieval
Physics
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Summary:An iterative algorithm to extract the arbitrary unknown phase shift in two-frame phase-shifting interferometry and then reconstruct the complex object wave is proposed. In combination with the least square principle and some calculation formulae we developed, this algorithm allows us to find the value of unknown phase shift by using only two interferograms without additional knowledge or measurement. Computer simulations have shown that this algorithm works well for both the smooth and diffusing objects to a very high accuracy over a wide range of the phase shift from 0.4 to 2.5 rad.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2006.12.033