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Reconfigurable intelligent surfaces (RISs) are an emerging field of researchin wireless communications. A fundamental component for analyzing andoptimizing RIS-empowered wireless networks is the development of simple butsufficiently accurate models for the power scattered by an RIS. By leveragingthe general scalar theory of diffraction and the Huygens-Fresnel principle, weintroduce simple formulas for the electric field scattered by an RIS that ismodeled as a sheet of electromagnetic material of negligible thickness. Theproposed approach allows us to identify the conditions under which an RIS offinite size can or cannot be approximated as an anomalous mirror. Numericalresults are illustrated to confirm the proposed approach.

Analytical Modeling of the Path-Loss for Reconfigurable Intelligent Surfaces -- Anomalous Mirror or Scatterer ?