Journal of the Korean Physical Society

, Volume 73, Issue 1, pp 53–59 | Cite as

Acoustic Power Measurement for a Cylindrical Concave Transducer by using the Self-Reciprocity Method

  • Junhua Li
  • Lili YuEmail author


A novel solution of measuring the acoustic power for a convergent cylindrical wave is proposed based on the self-reciprocity method, which turns the acoustic-power measurement to an electrical-parameters measurement. The formula for estimating the acoustic power was derived for a cylindrical concave transducer. The diffraction and the reflection corrections were also investigated for the precise measurement of the acoustic power. The performance of this method was compared with that of the radiation force balance (RFB) method. The experimental results showed good agreement. Moreover, the self-reciprocity method is more robust to the environment than the traditional RFB method and in practice can be extended to low-level acoustic power measurements.


Acoustic power measurement Cylindrical concave transducer Self-reciprocity Radiation force balance 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    A. Shaw and M. Hodnett, Ultrasonics 48, 234 (2008).CrossRefGoogle Scholar
  2. [2]
    R. T. Hekkenberg, K. Beissner, B. Zeqiri, R. A. Bezemer and M. Hodnett, Ultrasound Med. Biol. 27, 427 (2001).CrossRefGoogle Scholar
  3. [3]
    G. Bouchoux, N. Owen, F. Chavrier, R. Berrirt, G. Fleury, J. Y. Chapelon and C. Lafon, IEEE Trans. UFFC 57, 1086 (2010).CrossRefGoogle Scholar
  4. [4]
    G. Bouchoux, C. Lafon, R. Berrirt, J. Y. Chapelon, G. Fleury and D. Cathignol, Ultrasound Med. Biol. 34, 607 (2008).CrossRefGoogle Scholar
  5. [5]
    C. Lafon, D. Melodelima, Y. Theillère, J. Y. Chapelon and D. Cathignol, Med. Phys. 29, 290 (2002).CrossRefGoogle Scholar
  6. [6]
    J. Bohannon, Science 321, 338 (2008).CrossRefGoogle Scholar
  7. [7]
    C. Lafon, D. Melodelima, R. Salomir and J. Y. Chapelon, Int. J. Hyperthermia 23, 153 (2007).CrossRefGoogle Scholar
  8. [8]
    IEC61161: Ultrasonics-Power measurement-Radiation force balances and performance requirements, 3rd ed. (International Electrotechnical Commission, Geneva, 2013b).Google Scholar
  9. [9]
    L. L. Yu, W. D. Shou, C. Hui and B. Hu, J. Korean Phys. Soc. 61, 544 (2012).ADSCrossRefGoogle Scholar
  10. [10]
    Z. W. Qian, Z. M. Zhu, S. G. Ye, W. H. Jiang, H. Q. Zhu and J. S. Yu, Sci. China Phys. Mech. Astron. 53, 1780 (2010).ADSCrossRefGoogle Scholar
  11. [11]
    P. Gélat and A. Shaw, Ultrasound Med. Biol. 41, 832 (2015).CrossRefGoogle Scholar
  12. [12]
    W. D. Shou, J. Y. Yan, H. Z. Wang and D. C. Qian, Chin. Phys. Lett. 19, 1131 (2002).ADSCrossRefGoogle Scholar
  13. [13]
    W. D. Shou, S. M. Duan, P. Z. He, R. M. Xia and D. C. Qian, IEEE Trans. UFFC 53, 564 (2006).CrossRefGoogle Scholar
  14. [14]
    R. J. Bobber, J. Acoust. Soc. Am. 39, 680 (1966).ADSCrossRefGoogle Scholar
  15. [15]
    R. J. Bobber and G. A. Sabin, J. Acoust. Soc. Am. 33, 446 (1961).ADSCrossRefGoogle Scholar
  16. [16]
    G. Ludwig and K. Brendel, IEEE Trans. UFFC 35, 168 (1988).CrossRefGoogle Scholar
  17. [17]
    L. L. Yu, W. D. Shou and C. Hui, Chin. Phys. Lett. 28, 10432 (2011).Google Scholar
  18. [18]
    H. T. O’Neil, J. Acoust. Soc. Am. 21, 516 (1949).ADSCrossRefGoogle Scholar
  19. [19]
    IEC TS 62903: Ultrasonics-Measurements of electroacoustical parameters and acoustic output power of spherically curved transducers using the self-reciprocity method, 1st ed. (International Electrotechnical Commission, Geneva, 2018).Google Scholar
  20. [20]
    L. L. Foldy and H. Primakoff, J. Acoust. Soc. Am. 17, 109 (1945).ADSCrossRefGoogle Scholar
  21. [21]
    H. Primakoff and L. L. Foldy, J. Acoust. Soc. Am. 19, 50 (1947).ADSCrossRefGoogle Scholar

Copyright information

© The Korean Physical Society 2018

Authors and Affiliations

  1. 1.College of Ocean Science and EngineeringShanghai Maritime UniversityShanghaiChina
  2. 2.Department of Navigation ScienceShanghai Maritime UniversityShanghaiChina

Personalised recommendations