Automatic wavefront reconstruction on single interferogram with spatial carrier frequency using Fourier transform

Zhang, Xu; Qiu, Hao-ran; Zhou, Hao

doi:10.1007/s11801-020-9051-z

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…The spatial carrier method [15,16] is perhaps the simplest technique, which requires the introduction of a known angle between the reference and test waves. That is easy to accomplish, for example, by tilting the reference surface, but it holds two unintended consequences, i.e., the beams are sheared at the CCD detector and the beams often travel different paths through the imaging and/or illumination system.…”

Section: Introductionmentioning

confidence: 99%

Phase Shifting Approaches and Multi-Channel Interferograms Position Registration for Simultaneous Phase-Shifting Interferometry: A Review

Bai,

Lang,

Gao

et al. 2023

Photonics

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Simultaneous phase-shifting interferometry (SPSI) can simultaneously obtain multiple phase-shifted interferograms and can realize the dynamic wavefront measurement with the use of a phase-shifting algorithm. From the respect of a beam-splitting technique and phase shift achievement of the phase-shifting units, research progress on spatial phase shifting approaches for SPSI systems are classified and summarized, and the key problem affecting SPSI technology is discussed. To ensure the measurement accuracy, it is necessary to perform accurate position registration for multi-channel phase-shifted interferograms before the implementation of a phase-shifting algorithm, and so, the methods of position registration for multi-channel interferograms are also reviewed. This review is expected to prompt research on related fields of phase-shifting interferometry.

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Section: Introductionmentioning

confidence: 99%

Phase Shifting Approaches and Multi-Channel Interferograms Position Registration for Simultaneous Phase-Shifting Interferometry: A Review

Bai,

Lang,

Gao

et al. 2023

Photonics

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Error analysis and optimization algorithm of focal shift on mode decomposition for few-mode fiber beam

Zhang

Liu

Wang

et al. 2021

Optoelectron. Lett.

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Phase unwrapping algorithm for a segmented phase based on iterative pseudo-phase inpainting

wang¹,

Ma²,

Ding³

et al. 2022

Opt. Lett.

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Segmented phase unwrapping is an intractable problem in the phase-shifting technique. To solve the problem, this Letter presents an iterative pseudo-phase inpainting algorithm (IPPI). By means of image inpainting, the IPPI can be used to realize the pseudo-phases connecting each other among these phase islands. The error points in the pseudo-phases can be reduced by iterations of phase inpainting with the assistance of the reference pseudo-phase obtained by introducing the numerical carrier frequency and using the 2D Fourier transform. Compared with other methods, the proposed algorithm does not have to do any processing on the effective area of the wrapped phase, which ensures the authenticity of the result. The simulated and experimental verifications show that the proposed method not only possesses high precision, but also can be applied to a segmented phase with severe noise.

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Automatic wavefront reconstruction on single interferogram with spatial carrier frequency using Fourier transform

Cited by 3 publications

References 19 publications

Phase Shifting Approaches and Multi-Channel Interferograms Position Registration for Simultaneous Phase-Shifting Interferometry: A Review

Phase Shifting Approaches and Multi-Channel Interferograms Position Registration for Simultaneous Phase-Shifting Interferometry: A Review

Error analysis and optimization algorithm of focal shift on mode decomposition for few-mode fiber beam

Phase unwrapping algorithm for a segmented phase based on iterative pseudo-phase inpainting

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