可编程的基于波的模拟计算机器：一种设计超构表面的超构结构
Programmable wave-based analog computing machine: a metastructure that designs metastructures
AI总结：
本研究提出并实验验证了一种可重构超构结构模拟计算机，利用可重构射频组件实现定常与非定常迭代算法，完成矩阵求逆、牛顿法求根及拉格朗日乘数法逆设计，为紧凑型超高速并行波基模拟计算提供新路径。
摘要：
利用超构结构执行数学计算是一种新兴范式，有望将基于波的模拟计算带入近光速、低损耗、紧凑型器件的领域。我们从理论上提出并通过实验验证了一种可重构超构结构的概念，该结构利用电磁波执行模拟复数数学计算。可重构的基于射频（RF）的组件使我们的器件能够执行定常和非定常迭代算法。在演示了矩阵求逆（定常问题）之后，我们使用该机器解决了两个主要的非定常问题：用牛顿法求根，以及通过拉格朗日乘数法进行逆设计（约束优化）。该平台为以紧凑、超快速和并行化的方式解决一般线性代数问题及更多领域的基于波的模拟计算开辟了可能的途径。
英文摘要：
The ability to perform mathematical computations using metastructures is an emergent paradigm that carries the potential of wave-based analog computing to the realm of near-speed-of-light, low-loss, compact devices. We theoretically introduce and experimentally verify the concept of a reconfigurable metastructure that performs analog complex mathematical computations using electromagnetic waves. Reconfigurable, RF-based components endow our device with the ability to perform stationary and non-stationary iterative algorithms. After demonstrating matrix inversion (stationary problem), we use the machine to tackle two major non-stationary problems: root finding with Newton's method and inverse design (constrained optimization) via the Lagrange multiplier method. The platform enables possible avenues for wave-based, analog computations for general linear algebraic problems and beyond in compact, ultrafast, and parallelized ways.
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