Nonlinear equivalent circuits of acoustic devices

Yasuo Cho, Junji Wakita

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Mason's equivalent circuit is well known as a linear equivalent circuit for acoustic devices. By combining Mason's equivalent circuit with Smith's equivalent circuit of surface acoustic wave devices, it becomes a very effective tool for the physical interpretation of acoustic devices. If such equivalent circuit analysis can also be performed for the nonlinear problem, then comparatively simpler and accurate analysis can be obtained for almost all types of nonlinear problems. In this paper, equations are formulated to analyze the equivalent circuit of nonlinear‐type acoustic devices. At first, Mason's equivalent circuit is extended to the nonlinear region for the basic circuits of a thin bar of length‐extensional vibration and a broad plate of thickness‐extensional vibrations. Next, this equivalent circuit is used to analyze the thickness‐extensional vibration of Z‐cut LiNbO3 and second harmonic generation at the resonance point is clarified. Finally, these nonlinear equivalent circuits of length‐extensional vibration are applied to determine the nonlinear constants of PZT ceramics and the nonlinear constants of the equivalent circuit are clarified.

Original languageEnglish
Pages (from-to)12-23
Number of pages12
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Issue number10
Publication statusPublished - 1993 Jan 1
Externally publishedYes


  • Mason's equivalent circuit
  • Nonlinear equivalent circuit
  • length‐extensional vibration
  • thickness‐extensional vibration

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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