2010
DOI: 10.1063/1.3353329
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Using laser Doppler vibrometry to measure capillary surface waves on fluid-fluid interfaces

Abstract: Capillary wave phenomena are challenging to study, especially for microfluidics where the wavelengths are short, the frequencies are high, and the frequency distribution is rarely confined to a narrow range, let alone a single frequency. Those that have been studying Faraday capillary waves generated by vertical oscillation have chosen to work at larger scales and at low frequencies as a solution to this problem, trading simplicity in measurement for issues with gravity, boundary conditions, and the fidelity o… Show more

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Cited by 13 publications
(8 citation statements)
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“…Potentially, the drop could be restrained with a well, but this may introduce a different boundary condition and additional complications in its excitation and was not considered here. However, the electrical power used to drive the drop vibration is generally less than 1 W. 12 A laser Doppler vibrometer (LDV) (MSA-400, Polytec, Waldbronn, Germany) was used to measure the vibration velocity spectrum of the fluid surface 49 along the axis of the laser's path at its intersection with the measurement surface; the diameter of the measured area is approximately 1 μm. 49 This technique has several advantages over alternatives: high sensitivity (to O(1 pm)); broad measurement range of DC to 25 MHz, where direct imaging or the measurement of scattering through the surface 35 would require extremely high camera frame rates and correspondingly high-intensity illumination; and noncontact measurement, where other techniques in use require intrusive capacitive probes 19 that would distort the geometry of the drop.…”
Section: ■ Generating and Measuring Microscale Capillary Wavesmentioning
confidence: 99%
“…Potentially, the drop could be restrained with a well, but this may introduce a different boundary condition and additional complications in its excitation and was not considered here. However, the electrical power used to drive the drop vibration is generally less than 1 W. 12 A laser Doppler vibrometer (LDV) (MSA-400, Polytec, Waldbronn, Germany) was used to measure the vibration velocity spectrum of the fluid surface 49 along the axis of the laser's path at its intersection with the measurement surface; the diameter of the measured area is approximately 1 μm. 49 This technique has several advantages over alternatives: high sensitivity (to O(1 pm)); broad measurement range of DC to 25 MHz, where direct imaging or the measurement of scattering through the surface 35 would require extremely high camera frame rates and correspondingly high-intensity illumination; and noncontact measurement, where other techniques in use require intrusive capacitive probes 19 that would distort the geometry of the drop.…”
Section: ■ Generating and Measuring Microscale Capillary Wavesmentioning
confidence: 99%
“…The following day the cured PDMS were removed from the silicon substrate and then punched to form around 14 mm circles. The surfaces were cleaned with 70% ethanol, three distilled water rinses, and then allowed to air dry in a clean environment 24 , 28 , 29 .…”
Section: Methodsmentioning
confidence: 99%
“…Commercial LDVs often employ a Mach-Zehnder interferometer [ Fig. 8(a)] and usually allow characterising the motion of a fluid-fluid interface at frequencies of up to 100 MHz and displacements of as little as a few tens of picometres [124]. Oscillations of the droplet can be excited by either a thicknessmode piezoelectric transducer [PZT, see Fig.…”
Section: Fig 6: Comparison Between (A) a Theoretical Capillary Oscilmentioning
confidence: 99%
“…An acousto-optic modulator (AOM) is used to permit measurement of the objects vibration phase by shifting the reference lasers wavelength by a fixed amount. Reprinted with permission from [124]. (b) Schematic of a thickness-mode PZT.…”
Section: Fig 7: the Interaction Of Light With Different Modes Of Thementioning
confidence: 99%