Some opportunities for vibration analysis with time averaging in digital Fresnel holography

Picart, Pascal; Leval, Julien; Mounier, Denis; Gougeon, Samuel

doi:10.1364/ao.44.000337

Cited by 82 publications

(53 citation statements)

References 12 publications

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“…This kind of " quasi-binary" fringes have also been reported by other authors (Picart et al, 2005;Singh et al, 2007). Since the two orthogonal data fields are noise-free, the whole process may be described by the classical description of synchronous detection, as in fig.…”

Section: Fig 6 Quasi-binary Fringe Patternsupporting

confidence: 78%

Vibration Measurement by Speckle Interferometry between High Spatial and High Temporal Resolution

Nicolae

2011

Holography, Research and Technologies

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Section: Fig 6 Quasi-binary Fringe Patternsupporting

confidence: 78%

Vibration Measurement by Speckle Interferometry between High Spatial and High Temporal Resolution

Nicolae

2011

Holography, Research and Technologies

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“…2.2 [ [73,76,80,[91][92][93][94]. Suppose the size of the CCD array is X 0 × Y 0 with N x × N y pixels, so that the pixel pitch is δx 0 × δy …”

Section: Digital Sampling Of Hologrammentioning

confidence: 99%

“…In time-averaged digital holography, a vibrating surface displays dark fringes at the zeros of the Bessel function J 0 (z), where z is the amplitude of vibration [92,230]. For large-amplitude vibrations, the fringes become too numerous and difficult to resolve.…”

Section: Heterodyne Holographymentioning

confidence: 99%

Principles and techniques of digital holographic microscopy

2010

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Abstract. Digital holography is an emerging field of new paradigm in general imaging applications. We present a review of a subset of the research and development activities in digital holography, with emphasis on microscopy techniques and applications. First, the basic results from the general theory of holography, based on the scalar diffraction theory, are summarized, and a general description of the digital holographic microscopy process is given, including quantitative phase microscopy. Several numerical diffraction methods are described and compared, and a number of representative configurations used in digital holography are described, including off-axis Fresnel, Fourier, image plane, in-line, Gabor, and phase-shifting digital holographies. Then we survey numerical techniques that give rise to unique capabilities of digital holography, including suppression of dc and twin image terms, pixel resolution control, optical phase unwrapping, aberration compensation, and others. A survey is also given of representative application areas, including biomedical microscopy, particle field holography, micrometrology, and holographic tomography, as well as some of the special techniques, such as holography of total internal reflection, optical scanning holography, digital interference holography, and heterodyne holography. The review is intended for students and new researchers interested in developing new techniques and exploring new applications of digital holography. C 2010 Society of Photo-Optical Instrumentation Engineers.

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“…Indeed, an harmonically vibrating object illuminated by a laser yields alternate dark and bright fringes [6], that can be analyzed by time averaged holography [7]. Although the time averaged method gives a way to determine the amplitude of vibration [8] quantitative measurement remains quite difficult for low and high vibration amplitudes.We have developed heterodyne holography [9, 10], which is a variant of phase shifting holography, in which the frequency, phase and amplitude of both reference and signal beam are controlled by acousto optic modulators (AOM). Heterodyne holography is thus extremely versatile.…”

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Vibration of low amplitude imaged in amplitude and phase by sideband versus carrier correlation digital holography

2015

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Sideband holography can be used to get fields images (E0 and E1) of a vibrating object for both the carrier (E0) and the sideband (E1) frequency with respect to vibration. We propose here to record E0 and E1 sequentially, and to image the correlation E1E * 0 . We show that this correlation is insensitive the phase related to the object roughness and directly reflect the phase of the mechanical motion. The signal to noise can be improved by averaging the correlation over neighbor pixel. Experimental validation is made with vibrating cube of wood and with a clarinet reed. At 2 kHz, vibrations of amplitude down to 0.01 nm are detected. PACS numbers: 120.7280,090.1995PACS numbers: 120.7280,090. ,040.2840PACS numbers: 120.7280,090. ,120.2880 Citation: N. Verrier, L. Alloul, and M. Gross, Opt. Lett. 40, 411-414 (2015) http://dx.doi.org/10.1364/OL.40.000411There is a big demand for full field vibration measurements, in particular in industry. Different holographic techniques are able to image and analyze such vibrations. Double pulse [1,2] or multi pulse holography [3] records several holograms with time separation in the 1...1000 µs range, getting the instantaneous velocity from the phase difference. If the vibration frequency is not too high, one can also directly track the vibration of the object with fast CMOS cameras [4,5]. The analysis of the motion can be done by phase difference or by Fourier analysis in the time domain. For periodic vibration motions, measurements can be done with slow camera. Indeed, an harmonically vibrating object illuminated by a laser yields alternate dark and bright fringes [6], that can be analyzed by time averaged holography [7]. Although the time averaged method gives a way to determine the amplitude of vibration [8] quantitative measurement remains quite difficult for low and high vibration amplitudes.We have developed heterodyne holography [9, 10], which is a variant of phase shifting holography, in which the frequency, phase and amplitude of both reference and signal beam are controlled by acousto optic modulators (AOM). Heterodyne holography is thus extremely versatile. By shifting the frequency of the local oscillator ω LO with respect to illumination ω 0 , it is for example possible to detect the holographic signal at a frequency ω different than illumination ω 0 . This ability is extremely useful to analyze vibration, since heterodyne holography can detect selectively the signal that is scattered by object on vibration sideband of frequency ω m = ω 0 + mω A , where ω A is the vibration frequency and m and integer index.As was reported by Ueda et al, [11] the detection of the sideband m=1 is advantageous when the vibration amplitude is small. Nanometric vibration amplitude measurements were achieved with sideband digital holography on the m = 1 sideband [12], and comparison with single point laser interferometry has been made [13]. Verrier et al. [14] have shown that one can simultaneously measure E 0 and E 1 by using a local oscillator with two frequency components. One can t...

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Some opportunities for vibration analysis with time averaging in digital Fresnel holography

Cited by 82 publications

References 12 publications

Vibration Measurement by Speckle Interferometry between High Spatial and High Temporal Resolution

Vibration Measurement by Speckle Interferometry between High Spatial and High Temporal Resolution

Principles and techniques of digital holographic microscopy

Vibration of low amplitude imaged in amplitude and phase by sideband versus carrier correlation digital holography

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