典型文献
Mathematical operations and equation solving with reconfigurable metadevices
文献摘要:
Performing analog computations with metastructures is an emerging wave-based paradigm for solving mathematical problems.For such devices,one major challenge is their reconfigurability,especially without the need for a priori mathematical computations or computationally-intensive optimization.Their equation-solving capabilities are applied only to matrices with special spectral(eigenvalue)distribution.Here we report the theory and design of wave-based metastructures using tunable elements capable of solving integral/differential equations in a fully-reconfigurable fashion.We consider two architectures:the Miller architecture,which requires the singular-value decomposition,and an alternative intuitive direct-complex-matrix(DCM)architecture introduced here,which does not require a priori mathematical decomposition.As examples,we demonstrate,using system-level simulation tools,the solutions of integral and differential equations.We then expand the matrix inverting capabilities of both architectures toward evaluating the generalized Moore-Penrose matrix inversion.Therefore,we provide evidence that metadevices can implement generalized matrix inversions and act as the basis for the gradient descent method for solutions to a wide variety of problems.Finally,a general upper bound of the solution convergence time reveals the rich potential that such metadevices can offer for stationary iterative schemes.
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中图分类号:
作者姓名:
Dimitrios C.Tzarouchis;Mario Junior Mencagli;Brian Edwards;Nader Engheta
作者机构:
University of Pennsylvania,Department of Electrical and Systems Engineering,Philadelphia,PA 19104,USA;University of North Carolina at Charlotte,Department of Electrical and Computer Engineering,Charlotte,NC 28223,USA
文献出处:
引用格式:
[1]Dimitrios C.Tzarouchis;Mario Junior Mencagli;Brian Edwards;Nader Engheta-.Mathematical operations and equation solving with reconfigurable metadevices)[J].光:科学与应用(英文版),2022(10):2365-2377
A类:
metastructures,reconfigurability
B类:
Mathematical,operations,solving,reconfigurable,metadevices,Performing,analog,computations,emerging,wave,paradigm,mathematical,problems,For,such,one,major,challenge,their,especially,without,need,priori,computationally,intensive,optimization,Their,capabilities,are,applied,only,matrices,spectral,eigenvalue,distribution,Here,we,report,theory,design,using,tunable,elements,capable,integral,differential,equations,fully,fashion,We,consider,two,architectures,Miller,which,requires,singular,decomposition,alternative,intuitive,direct,complex,matrix,DCM,introduced,does,not,examples,demonstrate,system,level,simulation,tools,solutions,then,expand,inverting,both,toward,evaluating,generalized,Moore,Penrose,Therefore,provide,evidence,that,can,implement,inversions,act,basis,gradient,descent,method,wide,variety,Finally,upper,bound,convergence,reveals,rich,potential,offer,stationary,iterative,schemes
AB值:
0.603919
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