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A metacontinuum model for phase gradient metasurfaces.

Giorgio Palma¹, Umberto Iemma²

¹Department of Civil, Computer Science and Aeronautical Technologies Engineering, Roma Tre University, 00146, Rome, Italy. giorgio.palma@uniroma3.it.

Scientific Reports

|August 10, 2023

Summary

This summary is machine-generated.

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This study introduces a simplified metacontinuum model for acoustic metasurfaces. The model accurately predicts acoustic properties, offering a computationally efficient alternative for designing advanced acoustic devices.

Area of Science:

Acoustics
Materials Science
Computational Physics

Background:

Acoustic metamaterials and metasurfaces feature complex designs, demanding significant computational resources for analysis.
Developing simplified models is crucial for efficient analysis and optimal design of these acoustic structures.

Purpose of the Study:

To derive and validate a metacontinuum model for phase gradient-based metasurfaces.
To account for thermal and viscous dissipation effects within the simplified model.

Main Methods:

The metacontinuum model is based on transformation acoustics, defining metasurfaces with anisotropic inertia and bulk modulus.
A complex-valued speed of sound is introduced to incorporate dissipation effects.
The model is implemented in a commercial Finite Element Method (FEM) code and validated against full simulations and an equivalent boundary impedance approach.

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Main Results:

The metacontinuum model accurately predicts the acoustic properties of metasurface samples across various configurations.
Performance was evaluated for both exterior acoustics and in-duct installations using the transmission coefficient and four-pole matrix method.
The model demonstrated accuracy comparable to, and in some cases exceeding, the equivalent impedance model.

Conclusions:

The derived metacontinuum model provides a computationally efficient and accurate method for analyzing acoustic metasurfaces.
This simplified approach facilitates the design and optimization of complex acoustic devices.
The model's ability to handle dissipation effects enhances its applicability in real-world acoustic scenarios.