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Multipolar Angular Scattering of Substrated Metasurfaces

2025/04/29 by Hossein Allahverdizadeh, Allahverdizadeh, Hossein, Karim Achouri +1
Engineering · Materials Science · #Advanced Antenna and Metasurface Technologies #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #Optics (physics.optics) #Plasmonic and Surface Plasmon Research

paper · pdf · doi:10.48550/arxiv.2504.20724

openalex publication_date 2025/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Properly modeling and predicting the scattering response of a metasurface is a particularly challenging task. This has been shown to be especially difficult if the metasurface supports both local and nonlocal interactions, in the form of lattice coupling effects, multipolar contributions or bianisotropic responses. So far, existing methods to approach this problem have been restricted to normal incidence in a homogeneous background medium. We overcome these limitations by providing a rigorous and comprehensive formalism that accommodates both oblique incidence and the presence of different superstrate and substrate. This is achieved by extending our existing metasurface modeling framework to account for nonlocal and multipolar contributions up to the octupolar order and properly accounting for the scattering effects due to an inhomogeneous background medium. Additionally, our method is based on exact spherical multipole decomposition, which intrinsically accounts for toroidal contributions. We demonstrate the effectiveness of our approach by modeling the response of several dielectric and plasmonic metasurfaces that exhibit sharp spectral features including bound states in the continuum. Overall, our formalism yields excellent agreement with full-wave simulations.

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