Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts

Hibino, Kenichi; Oreb, Bozenko F.; Farrant, David I.; Larkin, Kieran G.

doi:10.1364/josaa.14.000918

Cited by 194 publications

(89 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although a triangle sampling window is immune to the spatial nonuniformity of the phase shift, 21 it is more sensitive to harmonic noise compared with common sampling windows, such as the Hann or Hamming window. 5 So, we derived a new sampling window to mitigate the harmonic noise using the averaging technique.…”

Section: -Frame π∕3-step Phase-shift Algorithm For the Phase Measurmentioning

confidence: 99%

Dual-phase-shift spherical Fizeau interferometer for reduction of noise due to internally scattered light

2017

Self Cite

View full text Add to dashboard Cite

Abstract. Internally scattered light in a Fizeau interferometer is generated from dust, defects, imperfect coating of the optical components, and multiple reflections inside the collimator lens. It produces additional noise fringes in the observed interference image and degrades the repeatability of the phase measurement. A method to reduce the phase measurement error is proposed, in which the test surface is mechanically translated between each phase measurement in addition to an ordinary phase shift of the reference surface. It is shown that a linear combination of several measured phases at different test surface positions can reduce the phase errors caused by the scattered light. The combination can also compensate for the nonuniformity of the phase shift that occurs in spherical tests. A symmetric sampling of the phase measurements can cancel the additional primary spherical aberrations that occur when the test surface is out of the null position of the confocal configuration. © The Authors.Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

show abstract

Section: -Frame π∕3-step Phase-shift Algorithm For the Phase Measurmentioning

confidence: 99%

Dual-phase-shift spherical Fizeau interferometer for reduction of noise due to internally scattered light

2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…They are 4-frame Carre 4) , simple 4-frame 5) , 5-frame Hariharan 6) , 7-frame Groot 7) , 5-frame in Schmit 8) , and 6-frame in Hibino 9) algorithms. There are many other algorithms and still others may be in development 12) , but they are not identified here, because of restricted space in the paper.…”

Section: Error Estimations Of Representative Algorithms For White -Limentioning

confidence: 99%

Phase-shift algorithm for white-light interferometry insensitive to linear errors in phase shift

Adachi

2008

OPT REV

View full text Add to dashboard Cite

White-light interference has changes in fringe contrast. When phase-shift techniques are applied to white-light interference, the phase-shift algorithm which can extract the phase accurately under the contrast changes is required. There is often another requirement that the phase shift between frames should not be restricted to π/2. Computer simulations show that the well-known algorithms have non-negligible errors under both requirements.To find an algorithm which will satisfy the requirements, I extract individual terms (I j m I k ) in an algorithmic equation by considering symmetry of light intensity against phase, where I j is light intensity just after the j-th phase shift. Using computer simulations, I 1 search for appropriate coefficients by which the terms are multiplied in the equation, finally finding an algorithm which satisfies both the requirements with the phase shift used.

show abstract

“…46 The analogy, however, is only formal since temporal phase shifting requires several interferograms to be measured. Our method does not include all ad hoc developments that have been proposed to optimize both temporal and spatial phase-shifting techniques, [47][48][49][50] except for the use of a weighting function, which has been found to have beneficial effects, albeit only in the onedimensional case. 25,32 We now have to investigate the appropriateness of the hypothesis of a constant phase in the vicinity of a point.…”

Section: A Complex-wave-retrieval Algorithmmentioning

confidence: 99%

Complex-wave retrieval from a single off-axis hologram

2004

View full text Add to dashboard Cite

We present a new digital two-step reconstruction method for off-axis holograms recorded on a CCD camera. First, we retrieve the complex object wave in the acquisition plane from the hologram's samples. In a second step, if required, we propagate the wave front by using a digital Fresnel transform to achieve proper focus. This algorithm is sufficiently general to be applied to sophisticated optical setups that include a microscope objective. We characterize and evaluate the algorithm by using simulated data sets and demonstrate its applicability to real-world experimental conditions by reconstructing optically acquired holograms.

show abstract

Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts

Cited by 194 publications

References 19 publications

Dual-phase-shift spherical Fizeau interferometer for reduction of noise due to internally scattered light

Dual-phase-shift spherical Fizeau interferometer for reduction of noise due to internally scattered light

Phase-shift algorithm for white-light interferometry insensitive to linear errors in phase shift

Complex-wave retrieval from a single off-axis hologram

Contact Info

Product

Resources

About