Two-dimensional wave-front reconstruction from lateral shearing interferograms.
TLDR
An algorithm is proposed to reconstruct two-dimensional wave-front from phase differences measured by lateral shearing interferometer based on double-grating that allows large shear amount and works fast based on fast Fourier transform.Abstract:
An algorithm is proposed to reconstruct two-dimensional wave-front from phase differences measured by lateral shearing interferometer. Two one-dimensional phase profiles of object wave-front are computed using Fourier transform from phase differences, and then the two-dimensional wave-front distribution is retrieved by use of least-square fitting. The algorithm allows large shear amount and works fast based on fast Fourier transform. Investigations into reconstruction accuracy and reliability are carried out by numerical experiments, in which effects of different shear amounts and noises on reconstruction accuracy are evaluated. Optical measurement is made in a lateral shearing interferometer based on double-grating.read more
Citations
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References
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Journal Article
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
TL;DR: In this article, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
Journal ArticleDOI
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
TL;DR: In this paper, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
Journal ArticleDOI
Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm.
TL;DR: La difference de phase entre les 2 faisceaux interferant varie de maniere connue et on fait des mesures de the distribution d'intensite a travers la pupille correspondant a au moins 3 dephasages differents.
Journal ArticleDOI
Wave-front estimation from wave-front slope measurements
TL;DR: In this paper, the problem of wavefront estimation from wave-front slope measurements has been examined from a least-squares curve fitting model point of view, and a new zonal phase gradient model is introduced and its error propagator, which relates the mean square wavefront error to the noisy slope measurements, has been compared with two previously used models.
Journal ArticleDOI
Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements
TL;DR: In this article, the problem of fitting a wavefront distortion estimate to a (single-instant) set of phase-difference measurements has been formulated as an unweighted least-square problem.