Vibration-resistant phase retrieval method with contrast compensation for phase-shifting interferometry

Liu, Qian; He, Huabin; Yuan, Daocheng; He, Jianguo; Ji, Fang

doi:10.1088/2040-8986/aa5d61

Cited by 11 publications

(8 citation statements)

References 13 publications

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“…Kotsiuba et al 8 improved the digital holographic interferogram using frequency filtering. Liu et al 9 proposed an inter-and intra-frame contrast compensation method to retrieve the wavefront phase from interferograms subjected to vibration. Ghosh et al 10 proposed a combined holographic imaging system to remove interference fringe gradients and higher-order diffraction noise.…”

Section: Introductionmentioning

confidence: 99%

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Optical path modulation of interference fringe density based on position errors analysis in oblique laser interferometry

Yang

Lian

et al. 2022

Opt. Eng.

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When laser interferometry is applied to measure the form deviation of a helical tooth flank, dense interference fringes are almost inevitable because of the distorted shape of the helical tooth flank. The high-density fringe leads to poor processing accuracy of interferograms and is an important indicator of the interferogram quality. An optical path optimization method based on position errors analysis is proposed to modulate the fringe density. First, some factors that may affect fringe density in the optical system are modeled. Consequently, the incident angle of the measured light is proved to be the main factor affecting the fringe density and is the primary parameter that modulates the interference fringe density. Subsequently, an analytical model is established, and a fringe density modulation method based on the optimized incident angle is proposed for designing the optical path. Finally, simulated and actual experimental results are provided to verify the correctness of the analysis of the main factor affecting the fringe density and feasibility of the modulation method.

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Section: Introductionmentioning

confidence: 99%

“…improved the digital holographic interferogram using frequency filtering. Liu et al 9 . proposed an inter- and intra-frame contrast compensation method to retrieve the wavefront phase from interferograms subjected to vibration.…”

Section: Introductionmentioning

confidence: 99%

Optical path modulation of interference fringe density based on position errors analysis in oblique laser interferometry

Yang

Lian

et al. 2022

Opt. Eng.

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“…Wang et al [32] proposed an iterative algorithm that converges rapidly and accurately, but only interferograms with a constant background and contrast are compatible. Liu et al energetically developed several improved vibration-resistant phase retrieval methods to reduce the phase error due to background and contrast (amplitude) variation [33][34][35]. In these iteration methods, generally, the convergence iteration is needed more than four to ten times to obtain an accurate solution.…”

Section: Introductionmentioning

confidence: 99%

Accurate phase analysis of interferometric fringes by the spatiotemporal phase-shifting method

Takimoto

Xia

et al. 2020

J. Opt.

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Phase-shifting interferometry (PSI) has been widely applied in the field of accurate optical methodology. However, the fluctuation of background and amplitude intensities due to the instability of laser source, and phase-shifting error or vibration are significant problems for the PSI. In this study, the spatiotemporal phase-shifting method (ST-PSM) (Ri S et al 2019 J. Opt. 21 095702), which is a highly accurate and robust phase analysis method using spatial and temporal intensities information simultaneously, is first applied to laser interferometry to achieve a stable measurement. Through several simulations, three effects of fluctuations in background and amplitude intensities, phase-shifting error were investigated. As a result, we clarified that the periodic phase error with fundamental or second harmonic frequencies occurs in the conventional PSM method, whereas no periodic error occurs in the ST-PSM. Besides, the ST-PSM is also robust to the noise either for uniform or distorted interference fringe images. In the Michelson laser interferometer experiment, the ST-PSM realizes a much more stable measurement of phase and phase gradient distributions than the PSM. We have revealed the excellent performance and the striking advantage that ST-PSM is entirely free of periodic errors in a similar manner to the simulations. Therefore, laser interferometry using the ST-PSM can be expected to apply to various applications, including the extremely accurate non-contact shape and deformation measurement, as well as thickness measurement of transparent materials in life and material sciences.

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“…Based on the relationship that a fringe corresponds to 2π phase, general phase retrieval algorithms evaluate the phase shift by analysing interference fringes and then calculate the wavefront phase with least-squares (LS) method. Among these general phase retrieval algorithms, iterative algorithms [10][11][12][13][14] exhibit good performance and are appealing, because there is no restriction on the measured surfaces and less approximation in the calculation. Iterative algorithms treat the wavefront phase as an unknown, construct algebraic equations with collected phase-shifting interferograms and solve equations with iteration.…”

Section: Introductionmentioning

confidence: 99%

Dual-mode phase-shifting interferometry based on iterative algorithms

Liu¹,

Huang²,

Yue

2019

Phys. Scr.

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Iterative algorithms are useful for retrieving wavefront phase from vibration disturbed interferograms for phase-shifting interferometry (PSI). But the dependence of convergence on the initial value deviation from the exact value impairs their application in severe vibration. In this paper, performance investigation of a representative iterative algorithm indicates that a higher frame rate of the camera, with matched phase shift, helps in enhancing the success probability of convergence. However, the camera frame rate is limited by its transmission speed and could not be increased easily. To improve the convergence of iterative algorithms, a dual-mode (DM) PSI is proposed that utilises the binning function of cameras. In DMPSI, two modes, high-speed and high-resolution modes, work consecutively by switching the camera binning function and two series of interferograms are collected respectively. The wavefront phase could be accurately estimated from high-speed interferograms and then is input to the iterative calculation with high-resolution interferograms as the initial value, and a wavefront phase with high-resolution is achieved ultimately. DMPSI combines the advantages of two complementary modes of cameras to reconstruct an accurate and high-resolution wavefront. Both simulations and a practical measurement verify the enhancement of vibration resistance of iterative algorithms. DMPSI is easy to implement with low cost and good compatibility, predicating a reliable solution for optical wavefront measurement in the severe vibration.

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Vibration-resistant phase retrieval method with contrast compensation for phase-shifting interferometry

Cited by 11 publications

References 13 publications

Optical path modulation of interference fringe density based on position errors analysis in oblique laser interferometry

Optical path modulation of interference fringe density based on position errors analysis in oblique laser interferometry

Accurate phase analysis of interferometric fringes by the spatiotemporal phase-shifting method

Dual-mode phase-shifting interferometry based on iterative algorithms

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