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Temporal differential elastic wave computational metamaterials

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.