Effect of piezoelectric transducer nonlinearity on phase shift interferometry

Ai, Chiayu; Wyant, James C.

doi:10.1364/ao.26.001112

Cited by 126 publications

(43 citation statements)

References 5 publications

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“…The mechanical hysteresis generated high spatial frequency noise, and the nonlinear movement in response to applied voltages resulted in periodic phase errors and reduced phase stability [32]. A closed-loop PZT with more linear and hysteresis-free movement is necessary to overcome phase aberrations caused by the mechanical motion.…”

Section: Discussionmentioning

confidence: 99%

Non-contact single shot elastography using line field low coherence holography

Liu

Schill

et al. 2016

Biomed. Opt. Express

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Optical elastic wave imaging is a powerful technique that can quantify local biomechanical properties of tissues. However, typically long acquisition times make this technique unfeasible for clinical use. Here, we demonstrate non-contact single shot elastographic holography using a line-field interferometer integrated with an air-pulse delivery system. The propagation of the air-pulse induced elastic wave was imaged in real time, and required a single excitation for a line-scan measurement. Results on tissuemimicking phantoms and chicken breast muscle demonstrated the feasibility of this technique for accurate assessment of tissue biomechanical properties with an acquisition time of a few milliseconds using parallel acquisition.

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Section: Discussionmentioning

confidence: 99%

Non-contact single shot elastography using line field low coherence holography

Liu

Schill

et al. 2016

Biomed. Opt. Express

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“…(1), find a way to recover the unknown phase x,y . On this topic we can find several works that deal with this problem, to mention some of them we can cite [2][3][4][5][6][7][8][9][10].…”

mentioning

confidence: 99%

Easy and straightforward construction of wideband phase-shifting algorithms for interferometry

2009

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We show a practical way for building wideband phase-shifting algorithms for interferometry. The idea presented combines first-and second-order quadrature filters to obtain wideband phase-shifting algorithms. These first-and second-order quadrature filters are analogous to the first-and second-order filters commonly used in communications engineering, named building blocks. We present a systematic way to develop phaseshifting algorithms with large detuning robustness or large bandwidth. In general, the approach presented here gives a powerful frequency analysis and design tool for phase-shifting algorithms robust to detuning for interferometry. © 2009 Optical Society of America OCIS codes: 120.3940, 120.3180, 120.2650 In this work, we present an easy and straightforward technique for designing temporal phase-shifting (TPS) algorithms with large detuning [1]. It is wellknown that TPS algorithms may be regarded also as quadrature filters tuned at a single temporal frequency. The tuning frequency is the temporal carrier of interferograms, which in TPS interferometry parlance is the phase step used to obtain the interferograms. Here we have adopted a filter construction strategy typically followed in communications engineering, which is to build larger order quadrature filters based upon simpler building blocks, namely, first-and second-order filters. The main advantage of adopting this strategy is that these lower order discrete quadrature filters may be optimally located in the frequency space to obtain a quadrature filter with large detuning robustness (large bandwidth). In interferometry, interferometric data are obtained as an image called an interferogram. The temporal sampling of interferometric data at a site ͑x , y͒, can be modeled as a periodical signal s : R → R in the following way:where a x,y R and b x,y R are the dc and contrast term at site ͑x , y͒, respectively. x,y R is the unknown phase in that site, and 0 R is the linear phase shifting or temporal frequency carrier; t is the temporal sampling. The problem here is the following: given a signal like the one shown in Eq. (1), find a way to recover the unknown phase x,y . On this topic we can find several works that deal with this problem, to mention some of them we can cite [2-10].Taking a look at previous works around linear phaseshifting algorithms, we can see that most of the algorithms were developed intuitively, or systematically using least squares [2,4,5]. Actually, to our knowledge the only work to describe the phase-shifting algorithms in the Fourier domain is that published by Freishlad and Koliopoulos [11]. Here, we will show how to design phase-shifting algorithms in the Fourier domain.As we said at the beginning, for the TPS demodulation problem we have adopted a filter construction strategy based on simple building blocks or filters. Then, let us start by defining the following first-and second-order basic building blocks: ͑3͒which are a first-and second-order difference operator, respectively, where ␦͑t͒ is the Dirac delta function, an...

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“…The phase distribution ϕ(x) is extracted using a Fourier-like transformation method [17], expressed by Equation (2) as follows:…”

Section: High-resolution Sensing Methods Using Phase Detection With Momentioning

confidence: 99%

On-Chip Method to Measure Mechanical Characteristics of a Single Cell by Using Moiré Fringe

et al. 2015

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Abstract:We propose a method to characterize the mechanical properties of cells using a robot-integrated microfluidic chip (robochip) and microscopy. The microfluidic chip is designed to apply the specified deformations to a single detached cell using an on-chip actuator probe. The reaction force is simultaneously measured using an on-chip force sensor composed of a hollow folded beam and probe structure. In order to measure the cellular characteristics in further detail, a sub-pixel level of resolution of probe position is required. Therefore, we utilize the phase detection of moiré fringe. Using this method, the experimental resolution of the probe position reaches 42 nm. This is approximately ten times smaller than the optical wavelength, which is the limit of sharp imaging with a microscope. Calibration of the force sensor is also important in accurately measuring cellular reaction forces. We calibrated the spring constant from the frequency response, by the proposed sensing method of the probe position. As a representative of mechanical characteristics, we measured the elastic modulus of Madin-Darby Cannie Kidney (MDCK) cells. In spite of the rigid spring constant, the resolution and sensitivity were twice that achieved in our previous study. Unique cellular characteristics can be elucidated by the improvements in sensing resolution and accuracy.

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Effect of piezoelectric transducer nonlinearity on phase shift interferometry

Cited by 126 publications

References 5 publications

Non-contact single shot elastography using line field low coherence holography

Non-contact single shot elastography using line field low coherence holography

Easy and straightforward construction of wideband phase-shifting algorithms for interferometry

On-Chip Method to Measure Mechanical Characteristics of a Single Cell by Using Moiré Fringe

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