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Matrix methods applied to acoustic waves in multilayers.

E L Adler1

  • 1Dept. of Electr. Eng., McGill Univ., Montreal, Que.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|January 1, 1990
PubMed
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Matrix methods simplify electroacoustic analysis for anisotropic piezoelectric multilayers. This approach is practical for designing surface acoustic wave (SAW) devices and composite transducers.

Area of Science:

  • Materials Science
  • Electrical Engineering
  • Acoustics

Background:

  • Analyzing complex piezoelectric multilayered structures is crucial for advanced device applications.
  • Existing methods can be computationally intensive for intricate geometries.

Purpose of the Study:

  • To present a matrix method for simplifying electroacoustic analysis of anisotropic piezoelectric multilayers.
  • To demonstrate the method's utility in various acoustic layered device designs.

Main Methods:

  • Formulating electroacoustic equations into first-order matrix differential equations for each layer.
  • Utilizing transfer matrices to map variables across layer interfaces.
  • Satisfying interface boundary conditions by multiplying transfer matrices.

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Main Results:

  • The matrix method reduces complex propagation, transduction, and boundary-value problems.
  • Problem rank is independent of the number of layers, offering computational efficiency.
  • Personal computer software enables practical numerical experimentation with layered structures.

Conclusions:

  • The matrix method offers a computationally advantageous and practical approach for analyzing piezoelectric multilayers.
  • This technique simplifies the design and analysis of devices like surface acoustic wave (SAW) devices and composite transducers.