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Chin. Phys. B, 2020, Vol. 29(8): 084301    DOI: 10.1088/1674-1056/ab9285

Inversion method of bubble size distribution based on acoustic nonlinear coefficient measurement

Jie Shi(时洁)1,2,3, Yulin Liu(刘宇林)3, Shengguo Shi(时胜国)1,2,3, Anding Deng(邓安定)3, Hongdao Li(李洪道)3
1 Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;
2 Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China;
3 College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China
Abstract  Measurements of bubble size distribution require the understanding of the acoustic characteristics of the medium. The bubbles show highly nonlinear properties under finite amplitude acoustic excitation, so the acoustic fields from bubble population are easily observed at the second harmonics as well as at the fundamental frequency, which shows that the nonlinear coefficient increases obviously. The inversion method of bubble size distribution based on nonlinear acoustic effects can peel off the influence of complex environment and obtain the size distribution coefficient information of bubbles more accurately. The previous nonlinear inversion methods of bubble size distribution are mostly based on the nonlinear scattering cross-section characteristics of bubbles. However, the stability of inversion is not high enough. In this paper, we introduce a new acoustic inversion method for bubble size distribution, which is based on the nonlinear coefficients of bubble medium. Compared with other inversion methods based on linear or nonlinear scattering cross section, the inversion method based on nonlinear coefficients of bubble medium proposed in this paper shows good robustness in both simulation and experiment.
Keywords:  bubble size distribution      nonlinear coefficient      acoustic inversion  
Received:  11 January 2020      Revised:  09 May 2020      Published:  05 August 2020
PACS:  43.25.Rq (Solitons, chaos)  
  43.25.Ts (Nonlinear acoustical and dynamical systems)  
  43.25.Yw (Nonlinear acoustics of bubbly liquids)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11674074 and 61701133).
Corresponding Authors:  Jie Shi     E-mail:

Cite this article: 

Jie Shi(时洁), Yulin Liu(刘宇林), Shengguo Shi(时胜国), Anding Deng(邓安定), Hongdao Li(李洪道) Inversion method of bubble size distribution based on acoustic nonlinear coefficient measurement 2020 Chin. Phys. B 29 084301

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