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Bibliographic Details
Main Authors: Allahverdizadeh, Hossein, Achouri, Karim
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.20724
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author Allahverdizadeh, Hossein
Achouri, Karim
author_facet Allahverdizadeh, Hossein
Achouri, Karim
contents 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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id arxiv_https___arxiv_org_abs_2504_20724
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publishDate 2025
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spellingShingle Multipolar Angular Scattering of Substrated Metasurfaces
Allahverdizadeh, Hossein
Achouri, Karim
Optics
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.
title Multipolar Angular Scattering of Substrated Metasurfaces
topic Optics
url https://arxiv.org/abs/2504.20724