Calibration of Ultrasonic Transducers by Time Deconvolution of the Diffraction Effects

  • D. Cassereau
  • D. Guyomar
Part of the Acoustical Imaging book series (ACIM, volume 16)


Due to diffraction effects, a wavefront launched by a planar transducer becomes distorted. In the impulse domain, these effects are represented mathematically by a temporal filter. The signal observed from a transducer working in the emitting/receiving mode results from a time convolution of the diffraction filter with the acousto-electrical response of the transducer. This transducer response is not directly observable experimentally since a calibration can not be achieved without a propagation fluid. To overcome this problem, a method, based on a time-deconvolution of the radiation filter, is proposed. This method leads to an absolute calibration of the transducer impulse response and explains the results of experimental observations in a simple way. The comparisons between theory and experiment show an excellent agreement. The proposed method enables the prediction of the output signal at different observation distances. The proposed concept, applied to annular transducers, gives a simple explanation to the vibration behavior of the transducer external rings.


Impulse Response Velocity Potential Coupling Function Diffraction Effect Radiation Coupling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    G.R. Harris, “Review of transient field theory for a baffled planar piston”, J. Acoust. Soc. Am. 70 (1), 1981, pp. 10–19.ADSMATHCrossRefGoogle Scholar
  2. 2.
    P.R. Stepanishen, J. Acoust. Soc. Am. 49, 1971, pp. 283–292.Google Scholar
  3. 3.
    P.R. Stepanishen, J. Acoust. Soc. Am. 49, 1971, pp. 1629–1838.Google Scholar
  4. 4.
    G.R. Harris, “Transient field of a baffled piston having an arbitrary vibration amplitude distribution”, J. Acoust. Soc. Am. 70, 1981, pp. 186–204.ADSMATHCrossRefGoogle Scholar
  5. 5.
    P.R. Stepanishen, “Experimental verification of the impulse response method to evaluate transient acoustic fields”, J. Acoust. Soc. Am. 63 (6), 1981, pp. 1610–1617.ADSCrossRefGoogle Scholar
  6. 6.
    D. Guyomar and J. Powers, “Propagation of transient acoustic waves in lossy and lossless media”, Acoust. Imag. Vol. 14, 1985, Plenum Press New-York.Google Scholar
  7. 7.
    D. Guyomar and J. Powers, “Transient fields radiated by curved surfaces: Application to focusing”, J. Acoust. Soc. Am. 76 (5), 1984, pp. 1564–1572.ADSCrossRefGoogle Scholar
  8. 8.
    D. Guyomar and J. Powers, “Transient radiation from axially symmetric sources”, soumis et révisé, J. Acoust. Soc. Am.Google Scholar
  9. 9.
    T.L. Rhyne, “Radiation coupling of a disk to a plane and back or a disk to a disk: An exact solution”, J. Acoust. Soc. Am. 61, 1977, pp. 318–324.ADSCrossRefGoogle Scholar
  10. 10.
    D. Guyomar, “Théorie et méthodes de la diffraction impulsionnelle”, Thèse de Doctorat d’Etat, Janvier 1986, Université Paris VII.Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • D. Cassereau
    • 1
  • D. Guyomar
    • 1
  1. 1.Etudes et Productions SchlumbergerClamartFrance

Personalised recommendations