Recursive surface impedance matrix methods for ultrasonic wave propagation in piezoelectric multilayers.

Area of Science:

• Acoustics
• Materials Science
• Electrical Engineering

Background:

• Piezoelectric materials are crucial for acoustic wave devices.
• Analyzing acoustic wave propagation in multilayered structures presents computational challenges.
• Existing methods may have limitations in layer number, thickness, or frequency range.

Purpose of the Study:

• To introduce two new recursive surface impedance methods for acoustic wave propagation.
• To demonstrate the conceptual simplicity and flexibility of these methods.
• To address computational limitations of existing techniques.

Main Methods:

• Development of two recursive surface impedance methods.
• Utilizing the transfer matrix method for conceptual simplicity and flexibility.
• Performing numerical simulations to validate performance and robustness.

Main Results:

• The proposed methods exhibit conceptual simplicity and flexibility.
• No a priori computational limitations regarding the number of layers or layer thickness.
• Computational stability is not limited by the frequency range.
• Numerical simulations confirm the methods' performance and robustness.

Conclusions:

• The recursive surface impedance methods provide an effective approach for analyzing acoustic wave propagation in multilayered piezoelectric structures.
• These methods overcome common computational limitations, offering broader applicability.
• The techniques are robust and suitable for integration with recursive numerical algorithms.