2017/03/17 by Cristian E. Gutiérrez, Gutierrez, Cristian E., Luca Pallucchini +3
Engineering · Materials Science · #35Q60 #78A05 #Advanced Antenna and Metasurface Technologies #Analysis of PDEs (math.AP) #Antenna Design and Analysis #FOS: Mathematics #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.1703.06014
openalex publication_date 2017/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper provides a mathematical approach to study metasurfaces in non flat geometries. Analytical conditions between the curvature of the surface and the set of refracted directions are introduced to guarantee the existence of phase discontinuities. The approach contains both the near and far field cases. A starting point is the formulation of a vector Snell law in presence of abrupt discontinuities on the interfaces.