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Carrier fringes and a non-conventional rotational shear in a triangular cyclic-path interferometer

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TLDR
In this article, a method for generating carrier fringes and a nonconventional rotational shear in a triangular cyclic-path interferometer, while simultaneously suppressing the presence of typical lateral and radial shearing, is presented.
Abstract
This work presents a method for generating carrier fringes and a nonconventional rotational shear in a triangular cyclic-path interferometer, while simultaneously suppressing the presence of typical lateral and radial shearing. To carry out this method, a 4f optical system is implemented into the cyclic interferometer. The most important contributions of this paper are its demonstration of the linear dependence of the movable mirror displacement with the carrier frequency introduced, and the realization of a nonconventional rotational shearing interferometer. Additionally, we think that one of its possible potential applications is the observation of the angular derivative of parallel projections of a phase object placed at the output plane, generating a great advantage in edge-enhancement optical tomography. In this paper, we develop a theoretical model and show experimental results.

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Citations
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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

Modal wavefront reconstruction in radial shearing interferometry with general aperture shapes.

TL;DR: The proposed Gram-Schmidt orthogonalization method can effectively alleviate the ill-conditioning of the problem, and is numerically stable compared with the classic least-squares method, especially for non-circular apertures and in the presence of noise.
Journal ArticleDOI

Effect of residual phase gradients in optical null interference.

TL;DR: Experimental results presented in this Letter could provide an insight into the momentum change associated with the energy redistribution in the fundamental phenomenon of optical interference.
Proceedings ArticleDOI

Differential shearing interferometer

TL;DR: The differential shearing interferometer (DSI) as mentioned in this paper incorporates a set of Risley prisms in a Sagnac interferometric configuration, which deviates the beam in both propagation directions.
Proceedings ArticleDOI

Residual phase gradients in optical null interference sensing rotating optical field in a nulling Sagnac interferometer

TL;DR: In this paper, a scheme to sense the residual phase gradients in an optical interference of two out-of-phase Gaussian beams is proposed, which is implemented using a Sagnac interferometer configured to provide a null output.
References
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Journal ArticleDOI

Optical tomography with parallel projection differences and Electronic Speckle Pattern Interferometry

TL;DR: In this article, an experimental technique to obtain edge-enhanced tomographic images of transparent objects using Electronic Speckle Pattern Interferometry (ESPI) is presented based on sequential measurements of subtraction images of adjacent parallel projections (differences) This procedure approximates to the angular derivative of the Radon transform.
Journal ArticleDOI

Wavefront reversal technique for self-referencing collimation testing

TL;DR: A wavefront reversal technique is presented to produce a dual-field fringe pattern for self-referencing collimation testing in wedge-plate lateral-shear interferometry, and the detection sensitivity is twice that of a single-wedge-plate technique.
Journal ArticleDOI

Measurement of the surface profile of a curved optical surface with rotation phase-shifting lateral shear cyclic path optical configuration.

TL;DR: In this article, phase shifts between the laterally sheared emergent beam components of a cyclic path optical configuration are introduced by applying a small change in the angle of incidence of the incident beam due to the small angular rotation of the setup.
Journal ArticleDOI

Measurement of longitudinal displacement using lateral shearing cyclic path optical configuration setup and phase shifting interferometry

TL;DR: A technique for the measurement of longitudinal displacement using a lateral shearing cyclic path optical configuration (CPOC) setup and phase shifting interferometry, which can be used for an extended range of distance measurement.
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