›› 2015, Vol. 24 ›› Issue (1): 14301-014301.doi: 10.1088/1674-1056/24/1/014301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

张略, 王祥达, 刘晓宙, 龚秀芬   

  1. Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2014-06-10 修回日期:2014-08-13 出版日期:2015-01-05 发布日期:2015-01-05
  • 基金资助:
    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).

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

Zhang Lue (张略), Wang Xiang-Da (王祥达), Liu Xiao-Zhou (刘晓宙), Gong Xiu-Fen (龚秀芬)   

  1. Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • Received:2014-06-10 Revised:2014-08-13 Online:2015-01-05 Published:2015-01-05
  • Contact: Liu Xiao-Zhou E-mail:xzliu@nju.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: spheroidal beam equation, extracorporeal shock wave lithotripsy, transducer with wide aperture angle

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.

Key words: spheroidal beam equation, extracorporeal shock wave lithotripsy, transducer with wide aperture angle

中图分类号:  (Ultrasonics, quantum acoustics, and physical effects of sound)

  • 43.35.+d
43.25.+y (Nonlinear acoustics)