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Chin. Phys. B, 2015, Vol. 24(1): 014301    DOI: 10.1088/1674-1056/24/1/014301

Sound field prediction of ultrasonic lithotripsy in water with spheroidal beam equations

Zhang Lue, Wang Xiang-Da, Liu Xiao-Zhou, Gong Xiu-Fen
Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China
Abstract  With converged shock wave, extracorporeal shock wave lithotripsy (ESWL) has become a preferable way to crush human calculi because of its advantages of efficiency and non-intrusion. Nonlinear spheroidal beam equations (SBE) are employed to illustrate the acoustic wave propagation for transducers with a wide aperture angle. To predict the acoustic field distribution precisely, boundary conditions are obtained for the SBE model of the monochromatic wave when the source is located on the focus of an ESWL transducer. Numerical results of the monochromatic wave propagation in water are analyzed and the influences of half-angle, fundamental frequency, and initial pressure are investigated. According to our results, with optimization of these factors, the pressure focal gain of ESWL can be enhanced and the effectiveness of treatment can be improved.
Keywords:  spheroidal beam equation      extracorporeal shock wave lithotripsy      transducer with wide aperture angle  
Received:  10 June 2014      Revised:  13 August 2014      Published:  05 January 2015
PACS:  43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)  
  43.25.+y (Nonlinear acoustics)  
Fund: Project supported by the National Basic Research Program of China (Grant Nos. 2012CB921504 and 2011CB707902), the National Natural Science Foundation of China (Grant No. 11274166), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201401), and the China Postdoctoral Science Foundation (Grant No. 2013M531313).
Corresponding Authors:  Liu Xiao-Zhou     E-mail:

Cite this article: 

Zhang Lue, Wang Xiang-Da, Liu Xiao-Zhou, Gong Xiu-Fen Sound field prediction of ultrasonic lithotripsy in water with spheroidal beam equations 2015 Chin. Phys. B 24 014301

[1] Qin J, Simmons W N, Sankin G and Zhong P 2010 J. Acoust. Soc. Am. 127 2635
[2] Skolarikos A, Alivizatos G and de la Rosette J 2006 Eur. Urol. 50 981
[3] Jian X Q, Li W L, Liu D S, Shi Q D and Tan Z 2008 Progress in Modern Biomedicine 8 122 (in Chinese)
[4] Tjøtta J N and Tjøtta S 1993 Acta. Acustica. 1 69
[5] Fan T B, Zhang D, Zhang Z, Ma Y and Gong X F 2008 Chin. Phys. B 17 3372
[6] Kamakura T 2004 Jpn. J. Appl. Phys. 43 2808
[7] Fan T B, Liu Z B, Zhang Z, Zhang D and Gong X F 2009 Chin. Phys. Lett. 26 084302
[8] Kamakura T, Ishiwata T and Matsuda K 2000 J. Acoust. Soc. Am. 107 3035
[9] Norton G V and Purrington R D 2009 Journal of Sound and Vibration 327 163
[10] Tavakkoli J, Cathignol D, Souchon R and Sapozhnikov O A 1998 J. Acoust. Soc. Am. 104 2061
[11] Forssmann B 2006 AIP Conf. Proc. 838 291
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