Application of moiré shearing interferometry to slope measurement of shallow shells

We demonstrate a simple method for obtaining slope contours of bent plates using Talbot interferometry. The technique has been used to map slope contours of polymethyl methacrylate specimens of different shapes. The Talbot image of a coarse grating is projected onto a specimen such that the self-image is backreflected onto the same grating again. As a Talbot interferometer is basically a grating shearing interferometer, it results in the generation of characteristic slope maps of the specimen under test. Results of the investigation match well with other slope-mapping techniques. Validation of experimental results with theoretical predictions in the case of a cantilever beam specimen has been undertaken. Accuracy of about 4.7% with respect to theoretical predictions is obtained.

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Slope measurement of bent plates using double grating shearing interferometry

Dhanotia

Prakash

Rana

et al. 2011

Appl. Opt.

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A grating-based shearing interferometeric setup for slope measurement of bent plates has been proposed. The specimen under test is illuminated by a collimated beam from the laser. Light reflected from the specimen passes through two identical holographic gratings placed in tandem. The grating frequency has been so chosen that the diffracted orders from each grating are separated out distinctly. Two first-order beams diffracted from each of the gratings superpose in space. In the resulting interferogram, the fringes due to slope information of the object are visualized. Mathematical formulation for experimental determination of slope values has been undertaken. Validation of the experimental results with theoretical predictions in case of cantilever beam provides good correlation. The main advantage of the technique has been the realization of very compact geometry without the need for spatial filtering arrangement commonly associated with the grating-based techniques used to date.

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Application of moiré shearing interferometry to slope measurement of shallow shells

Abstract: A moirk shearing interferometry, used to analyse the interference effect in a particular optical set-up by the Fourier series method, is proposed in this paper. The slope fringe patterns of different shallow shells with eccentric holes are also given by this method.

Cited by 3 publications

References 11 publications

Talbot and fourier moiré deflectometry and its applications in engineering evaluation

Talbot and fourier moiré deflectometry and its applications in engineering evaluation

Real-time slope mapping and defect detection in bent plates using Talbot interferometry

Slope measurement of bent plates using double grating shearing interferometry

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