Multiphase fringe analysis with unknown phase shifts

Lassahn, G.D.; Lassahn, Jeffrey Karl; Taylor, Paul K.; Deason, Vance A.

doi:10.1117/12.169728

Cited by 45 publications

(7 citation statements)

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“…However, it is difficult to achieve the intensity consistency and space consistency of the channels and the system is expensive. Several algorithms [10][11] can also eliminate the effects of vibration, but most of them are only valid to small amplitude vibration.…”

Section: Introductionmentioning

confidence: 99%

Experimental research on anti-vibration interferometry based on time-frequency-domain analysis

Hao

Zhang

et al. 2013

SPIE Proceedings

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Phase-shifting interferometry is a non-contact precision precise measuring method for optical surface, but it is highly sensitive to external vibrations. A time-and-frequency-domain (TFD) anti-noise phase-shifting interferometry is proposed to eliminate the effect of vibrations and improve the precision of measurement. According to simulations and preliminary experiments, active phase-shifting speed as well as interferogram capture speed should be increased to improve the anti-vibration capability of the TFD method. In this paper, a fast phase-shifting approach based on PZT actuator and interferogram detection with high-speed camera is proposed. Preliminary experimental results are given to demonstrate the approach.

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Section: Introductionmentioning

confidence: 99%

Experimental research on anti-vibration interferometry based on time-frequency-domain analysis

Hao

Zhang

et al. 2013

SPIE Proceedings

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“…Stoilov et al and Patil et al suggested a four or more step approach where the phase shifts may be arbitrary or even unknown but still be equal [5][6][7]. Several groups demonstrated different techniques of calculatinga rbitrary unknown phase shifts using fitting schemes or self-calibrating [8][9][10]. To further simplify the measurement and improve the computing efficiency, Cai et al introduced the idea of generalized phaseshifting interferometry (GPSI), where the phase shifts are generally arbitrary, unequal and unknown, which can be extracted by certain algorithms based on statistical considerations [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…Especially, Wang at al developed a so-called advanced iterative algorithm (AIA) including two LSM processes (a conventional one and an inverse one) to find the unknownp hase shifts ando bject phase distribution iteratively. Usually least-square methods have substantial computation loads, because it must use least-square equations for every pixel in all iterations [4,8,9,16,17].…”

Section: Introductionmentioning

confidence: 99%

Fast Reference Phase Extraction and Wave-front Reconstruction for Generalized Phase-shifting Interferometry

Xu¹,

Cai²,

Wang³

et al. 2010

AIP Conference Proceedings

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An important approach of complex wave reconstruction in generalized phase-shifting interferometry (GPSI) with arbitraryu nknown phase shifts is the combination of two (a conventional and an inverse) least square methods (LSMs), where the conventional LSM requires the calculation of solving a set of least square equations for each pixel in each iteration,g iving riset o a heavy computation burden.H ere a much-simplified algorithm is suggested to extract reference phasea nd then reconstruct object wave-front by replacing the conventional LSM in above process with our specially derived wave reconstruction formulae for GPSI. In this method, only one least-square equation is needed in each iteration to retrieve the reference phase, andthe object phasecan be calculated analyticallyand simultaneously.The feasibility and effectiveness of this algorithm have been verified by computer simulations with both the smooth and diffusing objects. The results show that this innovation can save computing time by about 20 times compared with previous two-LSM algorithm while still ensures its high precision. This approach can be used for GPSI with three or more frames in the wide range of unknown positive or negative phase shifts. Optical experiments havea lso made with satisfactory results.

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“…Although their approach is ideal for the suppression of twin-images that occur during numerical reconstruction, it is not so useful for precise phase shifting in a serial, special, stable shifting procedure. Another interesting new approach that has often been investigated is the arbitrary phase step approach [15][16][17][18] . Our group however proposes applying an arbitrary phase step technique to digital holography.…”

Section: Introductionmentioning

confidence: 99%

Novel microscopy in arbitrary step digital holography

et al. 2007

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In this work, a novel approach for numerical wave-front reconstruction in arbitrary phase step digital holography is presented. We present a simple and effective approach for digital holography microscopy that can be used for the 3D reconstruction of micro-structure images. The experimental results demonstrate that only two digital holograms and a simple estimation are required for the twin-image suppression and numerical reconstruction. The advantages of this approach are its simplicity, in that only one estimate equation need be applied, and its effectiveness, in that the exact phase profile of a micro lens array is presented, without blurring due to numerical reconstruction or aberration caused by the quadratic phase micro objective lens.

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Multiphase fringe analysis with unknown phase shifts

Cited by 45 publications

References 0 publications

Experimental research on anti-vibration interferometry based on time-frequency-domain analysis

Experimental research on anti-vibration interferometry based on time-frequency-domain analysis

Fast Reference Phase Extraction and Wave-front Reconstruction for Generalized Phase-shifting Interferometry

Novel microscopy in arbitrary step digital holography

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