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Drawing Dispersion Curves: Band Structure Customization via Nonlocal Phononic Crystals
Arash Kazemi1, Kshiteej J Deshmukh2, Fei Chen1
1Department of Mechanical Engineering, University of Utah, Salt Lake City, Utah 84112, USA.
Physical Review Letters
|November 13, 2023
Summary
We developed a method to precisely control wave behaviors by designing phononic dispersion relations using nonlocal interactions. This inverse design approach allows for the creation of complex wave phenomena in engineered materials.
Area of Science:
- Physics
- Materials Science
- Acoustics
Background:
- Dispersion relations are fundamental to understanding wave propagation.
- Tailoring these relations is crucial for advanced wave manipulation applications.
- Current methods for designing dispersion relations have limitations.
Purpose of the Study:
- To demonstrate an inverse design method for phononic dispersion relations.
- To utilize nonlocal interactions for precise control over wave behaviors.
- To engineer phononic crystals with specific, complex dispersion characteristics.
Main Methods:
- Applied inverse design principles to one-dimensional spring-mass chains.
- Incorporated nonlocal interactions to tailor dispersion relations.
- Analyzed both single-band and double-band phononic systems.
- Investigated wave packet dynamics in designed phononic crystals.
Main Results:
- Achieved analytical precision in designing arbitrary valid dispersion curves.
- Successfully designed phononic crystals with multiple critical points (roton, maxon, undulation).
- Demonstrated the capability to achieve any desired dispersion relation within physical constraints.
- Observed and analyzed wave packet dynamics influenced by engineered dispersion.
Conclusions:
- Nonlocal interactions provide a powerful tool for inverse design of phononic dispersion.
- The developed method offers unprecedented control over wave propagation in engineered materials.
- This work opens new avenues for designing advanced phononic devices and metamaterials.
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