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Bidirectional Asymmetric Frequency Conversion in Nonlinear Phononic Crystals.

Yeongtae Jang¹, Beomseok Oh¹, Eunho Kim^2,3,4

¹Pohang University of Science and Technology (POSTECH), Department of Mechanical Engineering, Pohang 37673, Republic of Korea.

Physical Review Letters

|August 4, 2025

Summary

This summary is machine-generated.

This study demonstrates bidirectional asymmetric frequency conversion in granular crystals, enabling upward or downward frequency shifts based on excitation direction. This novel wave transport mechanism utilizes nonlinear contact and local resonance.

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Area of Science:

Physics
Materials Science
Wave Phenomena

Background:

Altering wave propagation frequency is critical in various physical domains.
Conventional mechanisms for frequency conversion are often unidirectional.

Purpose of the Study:

To demonstrate bidirectional asymmetric frequency conversion (upward or downward) in a physical system.
To explore a novel wave transport mechanism in granular crystals.

Main Methods:

Numerical simulations and experimental validation.
Utilizing a model system of cylindrical granular crystals with local resonance coupling.
Investigating the interplay of nonlinear contact, spatial asymmetry, and coupled local resonance.

Main Results:

Achieved bidirectional asymmetric frequency conversion, controllable by excitation direction.
Demonstrated that local resonance coupling induces wavenumber-dependent wave dynamics, including frequency conversion.
Showcased practical realization in a granular crystal system.

Conclusions:

The developed system surpasses conventional unidirectional frequency conversion mechanisms.
Local resonance coupling, exemplified by avoided crossings, is key to this nonlinear wave transport.
This work may inspire research into nonlinear systems with material or structural resonance.