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Reconfigurable metamaterial processing units that solve arbitrary linear calculus equations

Author

Listed:
  • Pengyu Fu

    (Tsinghua University)

  • Zimeng Xu

    (Tsinghua University)

  • Tiankuang Zhou

    (Tsinghua University
    Tsinghua University
    Tsinghua University)

  • Hao Li

    (Tsinghua University)

  • Jiamin Wu

    (Tsinghua University
    Tsinghua University)

  • Qionghai Dai

    (Tsinghua University
    Tsinghua University)

  • Yue Li

    (Tsinghua University
    Tsinghua University)

Abstract

Calculus equations serve as fundamental frameworks in mathematics, enabling describing an extensive range of natural phenomena and scientific principles, such as thermodynamics and electromagnetics. Analog computing with electromagnetic waves presents an intriguing opportunity to solve calculus equations with unparalleled speed, while facing an inevitable tradeoff in computing density and equation reconfigurability. Here, we propose a reconfigurable metamaterial processing unit (MPU) that solves arbitrary linear calculus equations at a very fast speed. Subwavelength kernels based on inverse-designed pixel metamaterials are used to perform calculus operations on time-domain signals. In addition, feedback mechanisms and reconfigurable components are used to formulate and solve calculus equations with different orders and coefficients. A prototype of this MPU with a compact planar size of 0.93λ0×0.93λ0 (λ0 is the free-space wavelength) is constructed and evaluated in microwave frequencies. Experimental results demonstrate the MPU’s ability to successfully solve arbitrary linear calculus equations. With the merits of compactness, easy integration, reconfigurability, and reusability, the proposed MPU provides a potential route for integrated analog computing with high speed of signal processing.

Suggested Citation

  • Pengyu Fu & Zimeng Xu & Tiankuang Zhou & Hao Li & Jiamin Wu & Qionghai Dai & Yue Li, 2024. "Reconfigurable metamaterial processing units that solve arbitrary linear calculus equations," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-50483-x
    DOI: 10.1038/s41467-024-50483-x
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    References listed on IDEAS

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    1. Tengfeng Zhu & Yihan Zhou & Yijie Lou & Hui Ye & Min Qiu & Zhichao Ruan & Shanhui Fan, 2017. "Plasmonic computing of spatial differentiation," Nature Communications, Nature, vol. 8(1), pages 1-6, August.
    2. Ruitao Li & Diming Xu & Chao Du & Qianqian Ma & Feng Zhang & Xu Liang & Dawei Wang & Zhongqi Shi & Wenfeng Liu & Di Zhou, 2024. "Giant dielectric tunability in ferroelectric ceramics with ultralow loss by ion substitution design," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    3. M. Ferrera & Y. Park & L. Razzari & B. E. Little & S. T. Chu & R. Morandotti & D. J. Moss & J. Azaña, 2010. "On-chip CMOS-compatible all-optical integrator," Nature Communications, Nature, vol. 1(1), pages 1-5, December.
    4. Jian Wei You & Qian Ma & Zhihao Lan & Qiang Xiao & Nicolae C. Panoiu & Tie Jun Cui, 2021. "Reprogrammable plasmonic topological insulators with ultrafast control," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
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