Various equivalent circuits for thickness mode piezoelectric transducers

• Published in: Electronics & communications in Japan. Part 2, Electronics Vol. 79; no. 6; pp. 50 - 59
• Main Authors: Chubachi, Noriyoshi, Kamata, Hiroshi
• Format: Journal Article
• Language: English
• Published: New York Wiley Subscription Services, Inc., A Wiley Company 1996
• Subjects: equivalent circuit in a time domain; Equivalent transmission line model; KLM equivalent circuit; Mason's equivalent circuit
• ISSN: 8756-663X; 1520-6432
• DOI: 10.1002/ecjb.4420790606

The equivalent transmission line model originally proposed by Nukiyama [5] and applied to the thickness mode piezoelectric transducers by Kikuchi et al. [6] is reviewed and its characteristics are described. The model is compared with those proposed by Mason [4] and by Krimholz et al. [2]. The equivalent transmission line model developed by Kikuchi et al. [6] was derived from the fundamental piezoelectric equation and Newton's equation of motion via the Laplace transformation. A new equivalent circuit in a time domain was derived as well. By comparing the equivalent circuit in a time domain with the equivalent transmission line model [6], it was demonstrated that the equivalent transmission line model is a fundamental equivalent circuit that is effective both for analyses in a time domain and for conventional analyses in a frequency domain. It is also demonstrated that, when the simultaneity between electric and acoustic signals is neglected, the equivalent circuits [2, 4] can be derived from the equivalent transmission line model.