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Updated: Dec 12, 2025

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Published on: February 3, 2014
Creation of acoustic vortex knots.
Hongkuan Zhang1, Weixuan Zhang2, Yunhong Liao1
1Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education and School of Aerospace Engineering, Beijing Institute of Technology, 100081, Beijing, China.
Scientists created acoustic vortex knots using metamaterials, enabling precise control over sound wave patterns. This breakthrough allows for the construction of complex sound structures like Hopf links and trefoil knots.
Area of Science:
- Acoustic Metamaterials
- Vortex Dynamics
- Topology in Physics
Background:
- Knots and links are theorized to be fundamental in various scientific domains.
- Recent advancements have enabled the creation of optical vortex knots.
- The construction of acoustic vortex knots remains an open challenge.
Purpose of the Study:
- To theoretically propose and experimentally demonstrate the creation of acoustic vortex knots.
- To investigate the use of metamaterials for generating complex acoustic structures.
- To achieve decoupled modulation of transmitted phase and amplitude in acoustic fields.
Main Methods:
- Utilizing designed metamaterials with 24x24 pixels for knot function embedding.
- Employing numerical simulations to guide metamaterial design.
- Experimental verification of acoustic vortex knot generation.
Main Results:
- Successful theoretical proposal and experimental demonstration of acoustic vortex knots.
- Metamaterials achieved decoupled modulation of transmitted phase and amplitude.
- Observation of acoustic fields with Hopf link and trefoil knot vortex lines.
Conclusions:
- Acoustic vortex knots can be created using specifically designed metamaterials.
- Metamaterials offer a viable platform for constructing complex topological structures in acoustics.
- This work opens new avenues for manipulating sound fields with topological properties.
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