Plasmonics

, Volume 13, Issue 2, pp 599–607 | Cite as

Arbitrary Multi-way Parallel Mathematical Operations Based on Planar Discrete Metamaterials

  • Yongle Wu
  • Zheng Zhuang
  • Li Deng
  • Yuanan Liu
  • Quan Xue
  • Zabih Ghassemlooy
Article
First Online:
Received:
Accepted:
  • 145 Downloads

Abstract

Multi-way parallel mathematical operations along arbitrary transmission paths are constructed based on realizable planar discrete metamaterials in this paper. The introduced method of “computational metamaterials” is used to perform the desired mathematical operations. For producing high-efficiency devices, the function of multi-way parallel mathematical operations is indispensable in advanced analog computers. Therefore, in this paper, we propose the arbitrary transmission paths that can be implemented by the bending of the electromagnetic waves based on the finite embedded coordinate transformations, which has a strong potential to realize the function of multi-way parallel computation. Nevertheless, owing to the inherent inhomogeneous property, metamaterials are difficult to be achieved in nature currently. In order to make it possible for fabricating in practical applications, the planar discrete metamaterial is a promising medium due to its homogeneous property. Numerical simulations validate the novel and effective design method for parallel optical computation.

Keywords

Multi-way Discrete metamaterials Mathematical operations Arbitrary transmission paths 
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Notes

Acknowledgements

This work was supported in part by the National Natural Science Foundations of China (No.61422103, and No.61671084) and National Key Basic Research Program of China (973 Program) (No.2014CB339900).

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Beijing Key Laboratory of Work Safety Intelligent Monitoring, School of Electronic EngineeringBeijing University of Posts and TelecommunicationsBeijingChina
  2. 2.Beijing Key Laboratory of Network System Architecture and Convergence, School of Information and Communication EngineeringBeijing University of Posts and TelecommunicationsBeijingChina
  3. 3.The State Key Laboratory of Millimeter Waves, Department of Electronic Engineering, CityU Shenzhen Research InstituteCity University of Hong KongKowloon TongHong Kong
  4. 4.Optical Communications Research Group, NCRLab, Faculty of Engineering and EnvironmentNorthumbria UniversityNewcastle upon TyneUK

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