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PIER PIER B PIER C PIER M PIER Letters
2022-10-15
Solving Multivariable Equations with Tandem Metamaterial Kernels
By
Qingze Tan,

    Dr. Qingze Tan

    The Electromagnetics Academy at Zhejiang University

    Zhejiang University

    China

    Homepage

Chao Qian,

    Professor Chao Qian

    Zhejiang University

    China

    Homepage

Tong Cai,

    Dr. Tong Cai

    Air and Missile Defense College

    Air Force Engineering University

    China

    Homepage

Bin Zheng,

    Dr. Bin Zheng

    Zhejiang University

    China

    Homepage

Hongsheng Chen

    Professor Hongsheng Chen

    The Electromagnetics Academy at Zhejiang Unviersity

    Zhejiang University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 175, 139-147, 2022
doi:10.2528/PIER22060601
Abstract
A fundamental building block in characterizing and tackling scientific and industrial questions boils down to the ability of quickly solving mathematical equations. However, with the ever-growing volume of information and unsustainable integration growth in electronic processors, a radically new modality for solving equations is highly imminent. Here, we introduce an electromagnetic counterpart to solve multivariable complex equations, where two metamaterialkernels are connected in series to form a closed-loop electromagnetic system. Complex-valued information is carried by electromagnetic fields, and the equation solution for arbitrary input signals can be recursively attained after a number of feedbacks. As an illustration, we present the capability of such system in solving eight complex equations, and inversely design two 4 × 4 metamaterialkernels by topology optimization, whose average element error is reduced to smaller than 10-4. Having accomplished all unknown coefficients with high fidelity, our work represents a conspicuous apparatus for a myriad of enticing applications in ultra-compact signal processing and neuromorphic computing.
Citation
Qingze Tan, Chao Qian, Tong Cai, Bin Zheng, and Hongsheng Chen, "Solving Multivariable Equations with Tandem Metamaterial Kernels," Progress In Electromagnetics Research, Vol. 175, 139-147, 2022.
doi:10.2528/PIER22060601
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