On the Path-Loss of Reconfigurable Intelligent Surfaces: On the Path-Loss of Reconfigurable Intelligent Surfaces: An Approach Based on Green’s Theorem Applied to Vector Fields

Fadil H. Danufane, Marco Di Renzo, Julien De Rosny, Sergei Tretyakov

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper, we introduce a physics-consistent analytical characterization of the free-space path-loss of a wireless link in the presence of a reconfigurable intelligent surface. The proposed approach is based on the vector generalization of Green's theorem. The obtained path-loss model can be applied to two-dimensional homogenized metasurfaces, which are made of sub-wavelength scattering elements and that operate either in reflection or transmission mode. The path-loss is formulated in terms of a computable integral that depends on the transmission distances, the polarization of the radio waves, the size of the surface, and the desired surface transformation. Closed-form expressions are obtained in two asymptotic regimes that are representative of far-field and near-field deployments. Based on the proposed approach, the impact of several design parameters and operating regimes is unveiled.

Original languageEnglish
Number of pages21
JournalIEEE Transactions on Communications
DOIs
Publication statusE-pub ahead of print - 2021
MoE publication typeA1 Journal article-refereed

Keywords

  • Electromagnetic scattering
  • Green’s theorems
  • Optical surface waves
  • path-loss
  • Receivers
  • reconfigurable intelligent surfaces
  • Size measurement
  • Smart radio environments
  • Surface impedance
  • Surface waves
  • Wireless communication

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