Random Ising Hamiltonian Model of Metasurfaces in Complex Environments

Gabriele Gradoni, Sergio Terranova, Qi Jian Lim, Charles Ross, Zhen Peng

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The optimisation of Reconfigurable Intelligent Surfaces (RIS) requires tractable channel models that are electromagnetic compliant. We incorporate the effect of multipath fading in an impedance-based model of wireless communication links assisted by the RIS. The multi-path fading present in complex propagation environments is captured by a statistical model based on wave chaos theory: The random coupling model. We show that the so obtained MIMO transfer matrix configures as a Sherrington-Kirkpatrick Hamiltonian with generalised complex-valued Hopfield couplings. For both SISO and MIMO systems, we perform numerical Montecarlo simulations that elucidate the transition to Gaussianity, as parameterised by the average environment losses and RIS line-of-sight channel strengths. Finally, we discuss a research roadmap that includes: i) Retrieving the transmission matrix of complex environments from random coupling fluctuation; ii) Studying of the relation between channel hardening and the onset of a spin-glass phase. Achieved results are important for smart surface environment design.

Original languageEnglish (US)
Title of host publication17th European Conference on Antennas and Propagation, EuCAP 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9788831299077
DOIs
StatePublished - 2023
Externally publishedYes
Event17th European Conference on Antennas and Propagation, EuCAP 2023 - Florence, Italy
Duration: Mar 26 2023Mar 31 2023

Publication series

Name17th European Conference on Antennas and Propagation, EuCAP 2023

Conference

Conference17th European Conference on Antennas and Propagation, EuCAP 2023
Country/TerritoryItaly
CityFlorence
Period3/26/233/31/23

Keywords

  • MIMO
  • Metasurface
  • Random Ising Hamiltonian
  • Reconfigurable Intelligent Surface
  • Spin Glass

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture
  • Instrumentation

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