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An acoustic cloaking design based on topology optimization.

Zudi Yang1, Xun Huang1

  • 1State Key Laboratory of Turbulence and Complex Systems, Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing, 100871, People's Republic of China.

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This study introduces topology optimization for designing acoustic cloaks using scattering cancellation. Fabricated cloaks demonstrated superior performance in air compared to water, paving the way for practical acoustic cloaking applications.

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Area of Science:

  • Acoustic Metamaterials
  • Topology Optimization
  • Scattering Cancellation

Background:

  • Acoustic cloaking aims to render objects acoustically invisible.
  • Topology optimization offers a powerful computational approach for designing complex structures.
  • Fabrication constraints pose significant challenges for realizing intricate acoustic cloak designs.

Purpose of the Study:

  • To develop a topology optimization method for designing acoustic cloaks.
  • To address fabrication limitations by incorporating boundary control and smoothing techniques.
  • To experimentally validate the performance of the designed acoustic cloaks in different media.

Main Methods:

  • Utilized topology optimization with scattering cancellation principles.
  • Incorporated boundary control and hyperbolic tangent projection to minimize transition regions.
  • Applied a Helmholtz differential equation-based filter to remove spurious small structures.
  • Fabricated and experimentally tested acoustic cloaks in air and water.

Main Results:

  • The designed acoustic cloaks were successfully fabricated.
  • Experimental validation confirmed the cloaking effectiveness in representative setups.
  • Significantly better performance was observed in air compared to water.
  • The underlying reasons for the performance difference between air and water were identified.

Conclusions:

  • The proposed topology optimization method is effective for designing practical acoustic cloaks.
  • The integration of fabrication constraints enhances the feasibility of acoustic cloak realization.
  • Understanding medium-dependent performance is crucial for future acoustic cloaking applications.
  • This work provides a foundation for the future design, fabrication, and application of acoustic cloaks.