Figure 8 - uploaded by Régis Marchiano
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Experimental uncertainty of the angular frequency δ ω B (cf. Equation 7) for each measurement point. The uncertainty is related to the observation duration of the oscillations and is normalized by the angular frequency. Each bead is designated by a symbol and a color. The average and median of the uncertainties are respectively plotted in black solid and dashed lines.
Source publication
Single-beam acoustic tweezers have recently been demonstrated to be capable of selective three-dimensional trapping. This new contactless manipulation modality has great potential for many scientific applications. Its development as a scientific tool requires precise calibration of its radiation force, specifically its axial component. The lack of...
Context in source publication
Context 1
... is done using the least squares method and by adding the point (V p = 0, ω B = 0) to the measurement series, however the linear regression is not forced to 0. The Pearson correlation coefficients obtained for each series are greater than 0.98 and thus indicate a strong linear relationship between the voltage and the beads oscillations. A further analysis of the uncertainties on the observed oscillations, Figure 8, shows that they are higher for the biggest and heaviest beads represented by diamonds, or of green and purple color, whose oscillations are of lower frequency. Their uncertainties are above the average, and sometimes with a large shift as for the glass and ceramic beads of diameters 2 and 2.381 mm respectively. ...
Citations
In this paper, a geometric model is established to study the problem of multi-beam sounding line deployment. In this paper, the index of multi-beam sounding is calculated firstly. The geometric model of the path of the acoustic signal transmitted by the measuring ship and the transducer of the measuring ship, the seabed slope and the plane perpendicular to the direction of the measuring line are established. The mathematical relationship between the coverage width W of multi-beam sounding and the overlap rate between adjacent strips is obtained, and the overlap rate between adjacent strips is calculated. Finally, the model is tested to meet the robustness and the model is correct. Secondly, this paper studies the coverage width W of multi-beam sounding. According to the two cases that the coverage width W has nothing to do with the slope of the seabed and the coverage width W has something to do with the slope of the seabed, the geometric models of the measurement ship, the path of the acoustic signal emitted by the transducer of the measurement ship, the seabed slope and the plane perpendicular to the direction of the survey line are established respectively, and the geometric model is tested. The model is correct.
Acoustic tweezers offer a contactless, three-dimensional, and selective approach to trapping objects by harnessing the acoustic radiation force. Precise control of this technique requires accurate calibration of the force, which depends on the object's properties and the spherical harmonics expansion of the incident field through the beam shape coefficients. Previous studies showed that these coefficients can be determined using either the Lebedev quadrature or the angular spectrum methods. However, the former is highly susceptible to noise, while the latter demands extensive implementation time due to the number of required measurement points. A filtered method with a reduced number of points is introduced to address these limitations. Initially, we emphasize the implicit filtering in the angular spectrum method, allowing relative noise insensitivity. Subsequently, we present its unfiltered version, enabling force estimation of a standing field. Finally, we develop a filtered method based on the Lebedev quadrature, requiring fewer points, and apply it to focused vortex beams. Numerical evaluation of the radiation force demonstrates the method's resilience to noise and a reduced need for points compared to previous methods. The filtered Lebedev method paves the way for characterizing high-frequency acoustic tweezers, where measurement constraints necessitate rapid and robust beam shape coefficient estimation techniques.
