Dipole‐Quadrupole Model and Multipole Analysis of Resonant Membrane Metasurfaces

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OriginalspracheEnglisch
FachzeitschriftLaser & photonics reviews
Frühes Online-Datum4 Feb. 2026
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 4 Feb. 2026

Abstract

Membrane metasurfaces, formed by periodic arrangements of holes in a dielectric layer, are gaining attention for their easier
manufacturing via subtractive techniques, unnecessity of substrates, and access to resonant near fields. Despite their practical
relevance, their theoretical description remains elusive. Here, we present a semi-analytical dipole-quadrupole model for the
multipole analysis of numerically obtained reflection and transmission spectra in metasurfaces excited at arbitrary angles. Dipole
models are generally sufficient to study traditional metasurfaces made of solid nanostructures. However, the inclusion of electric
and magnetic quadrupoles is necessary to study membrane metasurfaces, which offer an ideal platform to showcase our method.
We demonstrate the importance of choosing the optimal position of a symmetric membrane metasurface’s unit cell to ensure the
sufficiency of the dipole-quadrupole approximation. We show that our formalism can explain complex phenomena arising from
inter-multipole interference, including lattice anapole and generalized Kerker effects, Fano resonances, and quasi-bound states in
the continuum. We also present the applicability of the method to membrane metasurfaces with non-centrosymmetric unit cells
(e.g., conical holes and surface voids). By enabling a deeper insight into the coupling mechanisms leading to the formation of
local and collective resonances, our method expands the electromagnetics toolbox to study, understand, and design conventional
and membrane metasurfaces.

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Dipole‐Quadrupole Model and Multipole Analysis of Resonant Membrane Metasurfaces. / Allayarov, Izzatjon; Evlyukhin, Andrey B.; Lesina, Antonio Calà.
in: Laser & photonics reviews, 04.02.2026.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Allayarov I, Evlyukhin AB, Lesina AC. Dipole‐Quadrupole Model and Multipole Analysis of Resonant Membrane Metasurfaces. Laser & photonics reviews. 2026 Feb 4. Epub 2026 Feb 4. doi: 10.1002/lpor.202502674
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AU - Evlyukhin, Andrey B.

AU - Lesina, Antonio Calà

N1 - Publisher Copyright: © 2026 The Author(s). Laser & Photonics Reviews published by Wiley-VCH GmbH.

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