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Buckling-induced transmission switching in phononic waveguidesa)
Ali Kanj1, Alexander F Vakakis1, Sameh Tawfick1
1Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
The Journal of the Acoustical Society of America
|September 13, 2023
Summary
We developed a reduced-order model for phononic circuits, revealing how temperature-induced buckling controls wave transmission. This mechanism enables novel acoustic switching and signal manipulation in microelectromechanical systems.
Area of Science:
- Physics
- Materials Science
- Engineering
Background:
- Phononic circuits manipulate elastic waves using waveguides, crucial for signal processing.
- Acoustic microelectromechanical system (AMEMS) waveguides with drumhead resonators operate at megahertz frequencies for acoustic switching.
- Traditional waveguide design relies on Bloch modes, assuming perfect periodicity.
Purpose of the Study:
- To develop a reduced-order model (ROM) for coupled drumhead-resonator waveguides.
- To demonstrate the mechanism of transmission switching induced by thermoelastic buckling.
- To understand phenomena where Bloch mode analysis fails in finite waveguides.
Main Methods:
- Constructed a ROM considering mechanics of buckling under temperature variation.
- Modeled each unit cell with two degrees of freedom: translation for symmetric modes and angular motion for asymmetric modes.
- Analyzed the effect of thermoelastic buckling on wave transmission and mode localization.
Main Results:
- Thermoelastic buckling induces a phase transition triggered by temperature.
- This transition causes localization of first-passband modes, analogous to Anderson localization.
- The ROM explains phenomena where Bloch mode analysis fails due to disorder amplification from buckling.
Conclusions:
- The developed ROM is essential for understanding transmission switching in phononic circuits.
- Temperature-induced buckling offers a novel method for controlling elastic wave transmission.
- Findings pave the way for extending transmission control to 2D phononic circuits.
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