Pré-Publication, Document De Travail Année : 2026

Modal Homogenization of High-Contrast Mie Metasurfaces: From Symmetry Control to Fano, ATS, and Bianisotropic Responses

Résumé

We develop an asymptotic homogenization theory for high-permittivity Mie-resonant metasurfaces illuminated in transverse-electric (TE) polarization. In the subwavelength resonant regime, the metasurface is replaced by an effective interface equipped with frequency-dependent transmission conditions involving three surface susceptibilities (γee, γmm, γem) that fully govern reflection and transmission. A central ingredient is a so-called Static–Dynamic Cell Eigenproblem (SD-Cell EP) posed on the unit cell, coupling a dynamic Helmholtz equation inside the inclusion to a static Laplace equation outside. Its real eigenvalues and eigenmodes yield a modal decomposition of the effective parameters, each resonance contributing as a simple pole. This structure naturally leads to reduced descriptions (single-mode Lorentz, weakly coupled two-mode Fano, and strongly coupled Autler– Townes-type models) that retain physical transparency while remaining quantitatively accurate. For symmetric (rectangular) inclusions, the theory recovers purely electric or magnetic resonances and their transition from Lorentzian to Fano and Autler–Townes behavior. For asymmetric (triangular) inclusions, symmetry breaking activates electromagnetic coupling and turns the metasurface into a reciprocal bianisotropic reflector, enabling strongly asymmetric scattering and, in the presence of weak loss, nearly perfect one-sided absorption.

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Dates et versions

hal-05440908 , version 1 (05-01-2026)

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  • HAL Id : hal-05440908 , version 1

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Agnès Maurel, Kim Pham, Nicolas Lebbe. Modal Homogenization of High-Contrast Mie Metasurfaces: From Symmetry Control to Fano, ATS, and Bianisotropic Responses. 2026. ⟨hal-05440908⟩
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