Splitting of the surface modes for bubble oscillations near a boundary

2020 ◽  
Vol 32 (10) ◽  
pp. 102104
Author(s):  
A. Maksimov
2020 ◽  
Vol 101 (1) ◽  
Author(s):  
Matthieu Guédra ◽  
Sarah Cleve ◽  
Cyril Mauger ◽  
Claude Inserra

1991 ◽  
Vol 224 ◽  
pp. 507-529 ◽  
Author(s):  
J. E. Ffowcs Williams ◽  
Y. P. Guo

If a bubble were produced with an initial surface distortion, the energy carried by surface modes could be converted to other modes by nonlinear interaction, a conversion that provides a possible mechanism of second generation by bubbles. Longuet-Higgins (1989a,b) has argued that volume pulsation would be excited at twice the frequency of the distortion mode and that the response to such excitation is ‘surprisingly large’ when its frequency is close to the natural resonance frequency of the volumetrical mode. It is shown in this paper that this is feasible only if the driving system is sufficiently energetic to supply the energy involved in those volume pulsations, and that this is not generally the case. In the absence of external sources, the sum of energies in the interacting modes cannot exceed the initial bubble energy; an increase in one mode is always accompanied by a decrease in another. In contrast to any expectation of significant pulsations near resonance, we find that, once modal coupling is admitted, the volumetrical pulsation has very small amplitude in comparison with that of the initial surface distortion. This is because of the constraint of energy, a constraint that becomes more severe once damping is admitted. Our conclusion therefore is that the distortion modes of a bubble are unlikely to be the origin of an acoustically significant bubble response.


Author(s):  
Daniel UGARTE

Small particles exhibit chemical and physical behaviors substantially different from bulk materials. This is due to the fact that boundary conditions can induce specific constraints on the observed properties. As an example, energy loss experiments carried out in an analytical electron microscope, constitute a powerful technique to investigate the excitation of collective surface modes (plasmons), which are modified in a limited size medium. In this work a STEM VG HB501 has been used to study the low energy loss spectrum (1-40 eV) of silicon spherical particles [1], and the spatial localization of the different modes has been analyzed through digitally acquired energy filtered images. This material and its oxides have been extensively studied and are very well characterized, because of their applications in microelectronics. These particles are thus ideal objects to test the validity of theories developed up to now.Typical EELS spectra in the low loss region are shown in fig. 2 and energy filtered images for the main spectral features in fig. 3.


1984 ◽  
Vol 45 (C5) ◽  
pp. C5-275-C5-284
Author(s):  
A. D. Boardman ◽  
A. K. Irving

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Adrian Ruckhofer ◽  
Davide Campi ◽  
Martin Bremholm ◽  
Philip Hofmann ◽  
Giorgio Benedek ◽  
...  

2011 ◽  
Vol 680 ◽  
pp. 114-149 ◽  
Author(s):  
ZORANA ZERAVCIC ◽  
DETLEF LOHSE ◽  
WIM VAN SAARLOOS

In this paper the collective oscillations of a bubble cloud in an acoustic field are theoretically analysed with concepts and techniques of condensed matter physics. More specifically, we will calculate the eigenmodes and their excitabilities, eigenfrequencies, densities of states, responses, absorption and participation ratios to better understand the collective dynamics of coupled bubbles and address the question of possible localization of acoustic energy in the bubble cloud. The radial oscillations of the individual bubbles in the acoustic field are described by coupled linearized Rayleigh–Plesset equations. We explore the effects of viscous damping, distance between bubbles, polydispersity, geometric disorder, size of the bubbles and size of the cloud. For large enough clusters, the collective response is often very different from that of a typical mode, as the frequency response of each mode is sufficiently wide that many modes are excited when the cloud is driven by ultrasound. The reason is the strong effect of viscosity on the collective mode response, which is surprising, as viscous damping effects are small for single-bubble oscillations in water. Localization of acoustic energy is only found in the case of substantial bubble size polydispersity or geometric disorder. The lack of localization for a weak disorder is traced back to the long-range 1/r interaction potential between the individual bubbles. The results of the present paper are connected to recent experimental observations of collective bubble oscillations in a two-dimensional bubble cloud, where pronounced edge states and a pronounced low-frequency response had been observed, both consistent with the present theoretical findings. Finally, an outlook to future possible experiments is given.


1988 ◽  
Vol 147 (1) ◽  
pp. 141-148 ◽  
Author(s):  
K. Yonashiro ◽  
T. Tomoyose ◽  
M. Yamshiro ◽  
M. Kobayashi

1965 ◽  
Vol 3 (1) ◽  
pp. 19-32 ◽  
Author(s):  
D.C. Gazis ◽  
R.F. Wallis

2011 ◽  
Vol 115 (21) ◽  
pp. 5256-5273 ◽  
Author(s):  
Tapas Sahoo ◽  
Subhankar Sardar ◽  
Padmabati Mondal ◽  
Biplab Sarkar ◽  
Satrajit Adhikari

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