A Theoretical Study of the Transient Behaviour of Ultrasonic Transducers in Linear Arrays

  • M. Th. Larmande
  • P. Alais
Part of the Acoustical Imaging book series (ACIM, volume 12)


It is well recognized that in classical echographic systems using transducers arrays, the behaviour of the elementary transducer inside the array is the most unknown, or at least not understood characteristics of the system. Even if for linear arrays a bidimensional model may be retained describing the transducers, the transient behaviour is affected in a very complex manner by the number of excited modes and the coupling effects between adjacent transducers. Recently, several authors {l,2,3} have pointed the importance of the width to thickness ratio for each individual block of ceramics used inside the array. However, a theoretical study of the transducer taking in account its real environment and specially coupling effects inside the array and through the propagative medium is difficult to achieve. We had presented at the 10th I.S.A.I. a tentative of analog electrical simulation of the problem {4}. But we met a lot of difficulties in the realization of adequate transformers and we preferred to go on this research work using numerical analysis. We want to show here the interest of our relatively simple model to attain the harmonic or transient behaviour of complex bidimensional structures.


Linear Array Coupling Coefficient Transient Behaviour Lamb Wave Transducer Array 
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  1. {1}.
    J. SATO, M. KAWABUCHI and A. FUKUMOTO -“Dependence of the electromechanical coupling coefficient on the width-to-thickness ratio of plank-shaped piezoelectric transducers used for electronically scanned ultrasound diagnostic systems”, J.A.S.A., 66, 6, (1979).Google Scholar
  2. {2}.
    G.S. KINO and C.S. DESILETS -“Design of slotted transducer arrays with matched backings”, Ultrasonic Imaging, 1, pp. 189–209 (1979).ADSCrossRefGoogle Scholar
  3. {3}.
    B. DELANNOY, C. BRUNEEL, H. LASOTA and G. GHAZALEH -“Theoretical and experimental study of the Lamb wave eigenmodes of vibration in terms of the transducer thickness to width ratio”, Jl of Appl. Phys., 52, p. 7433 (1981).ADSCrossRefGoogle Scholar
  4. {4}.
    P. ALAIS, Z. HOUCHANGNIA and M.Th. LARMANDE -“Analog electrical simulation of the transient behaviour of piezoelectric transducers”, Acoustical Imaging, 10, pp. 731–750 (1980).CrossRefGoogle Scholar
  5. {5}.
    D.A. BERLINCOURT, D.R. CURRAN and H. JAFFE -“Piezoelectric and piezomagnetic materials and their function in transducers”, Physical Acoustics, Volume I, Part A, pp. 169–270 (1964).Google Scholar

Copyright information

© Plenum Press, New York 1982

Authors and Affiliations

  • M. Th. Larmande
    • 1
  • P. Alais
    • 1
  1. 1.Laboratoire de Mécanique Physique, E.R.A., C.N.R.S. 537Université Pierre et Marie CurieSaint-Cyr-l’EcoleFrance

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