Phase-evaluation methods in whole-field optical measurement techniques

Dorrio, Benito Vasquez; Fernández, José Luis Fernández

doi:10.1088/0957-0233/10/3/005

Cited by 137 publications

(90 citation statements)

References 165 publications

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“…The fringe pattern, derived from a two-beam interferometer is characterized by the sinusoidal dependence of the intensity on the spatial coordinates (x, y) of the image plane [1,2]:…”

Section: Empirical Mode Decomposition For Fringe Pattern Analysismentioning

confidence: 99%

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

et al. 2012

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We consider a new application of the normalized Hilbert-Huang transform to extract directly the phase from a single fringe pattern. We present a technique to provide, with good accuracy, the phase distribution from a single interferogram without unwrapping step and this by a new exploitation of the analytic signal corresponding to each intrinsic mode function, resulting from onedimensional empirical mode decomposition of the fringe pattern. A theoretical analysis was carried out for this technique, followed by computer simulations and a real experimental fringe pattern for verification.

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“…The fringe pattern, derived from a two-beam interferometer is characterized by the sinusoidal dependence of the intensity on the spatial coordinates (x, y) of the image plane [1,2]:…”

Section: Empirical Mode Decomposition For Fringe Pattern Analysismentioning

confidence: 99%

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

et al. 2012

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“…There are three unknowns in Eqs. (1)(2), so the unknown phase ϕ 1 cannot be resolved. In order to resolve phase or phase difference another quadrature data pair has to be acquired, adding one more variable, ϕ 2 .…”

Section: Algorithm Quadrature Phase Steppingmentioning

confidence: 99%

“…Phase stepping methods 1 are widely used to derive phase from speckle interference patterns. Acquiring a series of phase stepped speckle patterns involves either a sequential approach or a parallel one.…”

Section: Introductionmentioning

confidence: 99%

Three-bucket quadrature phase stepping in a shearing speckle interferometer

Somers

Bhattacharya

2006

SPIE Proceedings

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Phase stepping algorithms are mostly based on three or more interferograms that can either be acquired sequentially, involving some temporal phase stepping mechanism, or in parallel. When a phase step is applied between acquisitions, object phase changes may cause phase errors when calculating phase. A new system that allows the object to change in between arbitrary temporal phase steps is proposed. It comprises a relatively simple polarization based two-channel speckle interferometer that acquires two π/2 phase stepped interferograms simultaneously with a single camera. This quadrature pair is phase stepped with a temporal phase stepping system that is also polarization based. Simulations and experimental results are presented that illustrate the improvements achieved with quadrature phase stepping compared to results obtained with the two-channel speckle interferometer operated without additional temporal phase stepping.

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“…Many optical techniques [1,2] recover the optical phase  using a series of M two-dimensional irradiance distributions or patterns s(r, (2) where N 1 {s m (r,, m )} and D 1 {s m (r,, m )} define the particular combination for each PSA in each case. In many other applications of great scientific and technological interest [3][4][5][6][7][8][9][10][11][12] the measurand is linked to the phase sum or the phase difference between the original pattern s(r,) and another one t(r, +), that can be shifted in phase to obtain another series of patterns: (3) where in this case t p (r,, p ) is each pattern of the new series,  p is the phase step between irradiance values and the coefficients b g weight the harmonic contribution.…”

Section: Introductionmentioning

confidence: 99%

The Monte Carlo method as a tool for statistical characterisation of differential and additive phase shifting algorithms

Miranda

Dorrio

Blanco

et al. 2011

J. Phys.: Conf. Ser.

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Abstract. Several metrological applications base their measurement principle in the phase sum or difference between two patterns, one original s(r,) and another modified t(r,+). Additive or differential phase shifting algorithms directly recover the sum 2+ or the difference  of phases without requiring prior calculation of the individual phases. These algorithms can be constructed, for example, from a suitable combination of known phase shifting algorithms. Little has been written on the design, analysis and error compensation of these new two-stage algorithms. Previously we have used computer simulation to study, in a linear approach or with a filter process in reciprocal space, the response of several families of them to the main error sources. In this work we present an error analysis that uses Monte Carlo simulation to achieve results in good agreement with those obtained with spatial and temporal methods.

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Phase-evaluation methods in whole-field optical measurement techniques

Cited by 137 publications

References 165 publications

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

Three-bucket quadrature phase stepping in a shearing speckle interferometer

The Monte Carlo method as a tool for statistical characterisation of differential and additive phase shifting algorithms

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