Optical three-dimensional vibrometer microscope with picometer-resolution in x, y, and z

Rembe, Christian; Kowarsch, Robert; Ochs, Wanja; Dräbenstedt, Alexander; Giesen, Moritz; Winter, Marcus

doi:10.1117/1.oe.53.3.034108

Cited by 28 publications

(12 citation statements)

References 18 publications

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“…Optical approaches aiming at determining position vectors with ultra-small localization errors include laser interferometry [2][3][4][5][6] , laser Doppler vibrometry [7][8][9] , fluorescence-based single-molecule localization [10][11][12][13] , light-scattering-based single-particle localization 14 , localization by optical superoscillations from metasurfaces 15 , and optical-image cross-correlation analysis [16][17][18][19][20][21] .…”

Section: Atomic Scale Displacements Detected By Optical Image Cross-cmentioning

confidence: 99%

Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays

Frenzel

Köpfler

Naber

et al. 2021

Sci Rep

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For analyzing displacement-vector fields in mechanics, for example to characterize the properties of 3D printed mechanical metamaterials, routine high-precision position measurements are indispensable. For this purpose, nanometer-scale localization errors have been achieved by wide-field optical-image cross-correlation analysis. Here, we bring this approach to atomic-scale accuracy by combining it with well-defined 3D printed marker arrays. By using an air-lens with a numerical aperture of $$0.4$$ 0.4 and a free working distance of $$11.2\, \mathrm{mm}$$ 11.2 mm , and an $$8\times 8$$ 8 × 8 array of markers with a diameter of $$2\, \upmu\mathrm{m}$$ 2 μ m and a period of $$5\,\upmu \mathrm{ m}$$ 5 μ m , we obtain 2D localization errors as small as $$0.9\, \AA$$ 0.9 Å in $$12.5\, \mathrm{ms}$$ 12.5 ms measurement time ($$80\, \mathrm{frames}/\mathrm{s}$$ 80 frames / s ). The underlying experimental setup is simple, reliable, and inexpensive, and the marker arrays can easily be integrated onto and into complex architectures during their 3D printing process.

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Section: Atomic Scale Displacements Detected By Optical Image Cross-cmentioning

confidence: 99%

Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays

Frenzel

Köpfler

Naber

et al. 2021

Sci Rep

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“…The displacement phase-modulates the wave in proportion to the change in optical path length. The degree of phase modulation is determined with heterodyne interferometry and is converted to a complex amplitude of displacement u(x,y), where u is the projection of the displacement vector onto the optical axis of the beam [37]. For a full characterization of the sample's motion in 3D, separate LDV experiments from different directions are needed.…”

Section: Laser-doppler Vibrometrymentioning

confidence: 99%

Compressional-Wave Effects in the Operation of a Quartz Crystal Microbalance in Liquids:Dependence on Overtone Order

Kowarsch

Suhak

Eduarte

et al. 2020

Sensors

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The operation of the quartz crystal microbalance (QCM) in liquids is plagued by small flexural admixtures to the thickness-shear deformation. The resonator surface moves not only in the transverse direction, but also along the surface normal, thereby emitting compressional waves into the liquid. Using a simple analytical model and laser Doppler vibrometry, we show that the flexural admixtures are stronger on the fundamental mode than on the overtones. The normal amplitude of motion amounts to about 1% of the transverse motion on the fundamental mode. This ratio drops by a factor of two on the overtones. A similar dependence on overtone order is observed in experiments, where the resonator is immersed in a liquid and faces an opposite planar wall, the distance of which varies. Standing compressional waves occur at certain distances. The amplitudes of these are smaller on the overtones than on the fundamental mode. The findings can be rationalized with the tensor form of the small-load approximation.

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“…A recently published solution [62] allows 3D measurements with just a single measurement beam by collecting light from three directions and evaluating the directional Doppler effect. This solution is especially well suited for small structures since the laser spot is just defined by the central impinging beam which can be focused with a microscope objective.…”

Section: D Scanning Vibrometermentioning

confidence: 99%

Laser Doppler Vibrometry Measurements in Structural Dynamics

Chiariotti¹,

Rembe²,

Castellini³

et al. 2020

Handbook of Experimental Structural Dynamics

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Laser vibrometry is a powerful tool for measurement of vibration on a variety of structures. Lasers do not mass-load or otherwise change the dynamics of a structure, and so they have enabled measurements from surfaces that are too light, delicate, hot, etc. to allow conventional surface mounted sensors. The position of the measurement point can also be changed readily. Thus, laser vibrometry has also allowed acquisition of measurements over a dense grid of points, to more completely characterize a structure its deformation shapes, the evolution of stress waves, or the identification of structural damages than it might be feasible with other methods. The chapter is divided in two sections: the first one is intended to provide an insight about the theory behind laser Doppler vibrometry (LDV), while the second section aims at giving an overview of the different types of laser Doppler vibrometers that have been developed so far. The chapter is not intended to give a comprehensive discussion of laser Doppler vibrometry, but it provides sufficient details about potentials, issues, and best practice approaches for successfully exploiting such technique in structural dynamics testing. References are provided to direct the interested reader to more detailed information as well as to examples of application cases.

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Optical three-dimensional vibrometer microscope with picometer-resolution in x, y, and z

Cited by 28 publications

References 18 publications

Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays

Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays

Compressional-Wave Effects in the Operation of a Quartz Crystal Microbalance in Liquids:Dependence on Overtone Order

Laser Doppler Vibrometry Measurements in Structural Dynamics

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