Computational metamaterials have enabled the realization of real-time mathematical operations in spatial and time domains. Here, we present the design and experimental demonstration of time-domain differential operations based on an elastic wave computational metamaterial. For generality and universality, the linearity and the product rule for the wave-based differentiation are also verified, as well as the functionality of cascaded differentiators. We expect that acoustic computational metamaterials will enable new capabilities in signal acquisition and processing and network computing and drive new applications of the sound wave.
Acoustic computational metamaterials have enabled the realization of mathematical operations in the spatial domain. Here, we design acoustic computational metamaterials for performing a dispersion Fourier transform in a real-time domain. We proceed with our design using a “U” shape runway acoustic tube metamaterial with an almost linear group delay and flat amplitude with respect to acoustic frequency at around 4.45 kHz. We demonstrate our design by testing the real-time performance of three different types of pulse responses of the metamaterial, compared to the exact solutions of the Fourier transform of input signals. The simulated output results show a good fit to the exact solutions. We expect that acoustic computational metamaterials will enable new capabilities in signal acquisition and processing, network computing, and drive new applications of sound waves.
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