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This study introduces an acoustic analog computing system using metasurfaces to solve ordinary differential equations (ODEs). This novel acoustic device offers a versatile solution for complex computations without geometric modification.

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Area of Science:

  • Acoustic Metamaterials
  • Analog Computing
  • Computational Physics

Background:

  • Acoustic computing devices like switches and logic gates are well-researched.
  • Existing acoustic devices lack the complexity to solve ordinary differential equations (ODEs).

Purpose of the Study:

  • To propose a novel acoustic analog computing (AAC) system capable of solving nth-order ODEs.
  • To demonstrate the functionality and versatility of the proposed AAC system.

Main Methods:

  • Designing an AAC system using three cascaded metasurfaces.
  • Constructing metasurfaces with layered labyrinthine units for broad amplitude and phase modulation.
  • Simulating the transmitted pressure to validate against theoretical ODE solutions.

Main Results:

  • The simulated transmitted pressure of the AAC system closely matches the theoretical solutions of ODEs.
  • The proposed system demonstrates excellent functionality for solving ODEs.
  • Unlike optical solvers, the AAC system with fixed geometry can solve arbitrary nth-order ODEs.

Conclusions:

  • The proposed AAC system effectively solves nth-order ODEs using cascaded metasurfaces.
  • This acoustic approach offers a fixed-geometry solution for complex ODEs, overcoming limitations of existing methods.
  • The technology holds potential for applications in acoustic communication, analog computing, and signal processing.