Performing Mathematical Operations using High-Index Acoustic Metamaterials
Farzad Zangeneh-Nejad, Romain Fleury

TL;DR
This paper introduces a compact acoustic computing system using high-index acoustic metamaterials that directly perform mathematical operations in the spatial domain, eliminating the need for Fourier transform components.
Contribution
It presents a novel, highly compact acoustic computing system based on a simple high-index slab waveguide that operates directly in the spatial domain.
Findings
Demonstrates a compact acoustic computing device without Fourier lenses
Shows potential for high-speed image processing and real-time signal analysis
Achieves direct mathematical operations in acoustic wave systems
Abstract
The recent breakthrough in metamaterial-based optical computing devices [Science 343, 160 (2014)] has inspired a quest for similar systems in acoustics, performing mathematical operations on sound waves. So far, acoustic analog computing has been demonstrated using thin planar metamaterials, carrying out the operator of choice in Fourier domain. These so-called filtering metasurfaces, however, are always accompanied with additional Fourier transform sub-blocks, enlarging the computing system and preventing its applicability in miniaturized architectures. Here, employing a simple high-index acoustic slab waveguide, we demonstrate a highly compact and potentially integrable acoustic computing system. The system directly performs mathematical operation in spatial domain and is therefore free of any Fourier bulk lens. Such compact computing system is highly promising for various…
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