Performing mathematical operations using high-index acoustic metamaterials

Performing mathematical operations using high-index acoustic metamaterials
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DOI:
10.1088/1367-2630/aacba1
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发表时间:
2018-03
影响因子:
3.3
通讯作者:
Farzad Zangeneh-Nejad;R. Fleury
Farzad Zangeneh-Nejad;R. Fleury
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Farzad Zangeneh-Nejad;R. Fleury

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最近基于超材料的光学计算设备的突破(2014 Science 343 160)激发了对声学中类似系统的探索,对声波进行数学运算。到目前为止,声学模拟计算已经证明使用薄平面超材料,在傅里叶域中执行选择算子。然而,这些所谓的滤波元表面总是伴随着额外的傅里叶变换子块,从而扩大了计算系统并阻碍了其在小型化架构中的适用性。本文采用简单的高折射率声板波导,提出了一个高度紧凑且具有潜在可积性的声学计算系统,并通过数值模拟证明了其正常运行。该系统直接在空间域中进行数学运算,因此不存在任何傅里叶体透镜。这种紧凑的计算系统在高通量图像处理、超快速方程求解和实时信号处理等各种应用中具有很高的应用前景。
The recent breakthrough in metamaterial-based optical computing devices (2014 Science 343 160) 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 propose a highly compact and potentially integrable acoustic computing system and demonstrate its proper functioning by numerical simulations. 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 applications including high throughput image processing, ultrafast equation solving, and real time signal processing.