Quasi-Babinet principle in dielectric resonators and Mie voids

Advancing resonant nanophotonics requires novel building blocks. Recently, cavities in high-index dielectrics have been shown to resonantly confine light inside a lower-index region. These so-called Mie voids represent a counterpart to solid high-index dielectric Mie resonators, offering novel funct...

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Main Authors: Masoud Hamidi, Kirill Koshelev, Sergei Gladyshev, Adrià Canós Valero, Mario Hentschel, Harald Giessen, Yuri Kivshar, Thomas Weiss
Format: Article
Language:English
Published: American Physical Society 2025-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013136
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author Masoud Hamidi
Kirill Koshelev
Sergei Gladyshev
Adrià Canós Valero
Mario Hentschel
Harald Giessen
Yuri Kivshar
Thomas Weiss
author_facet Masoud Hamidi
Kirill Koshelev
Sergei Gladyshev
Adrià Canós Valero
Mario Hentschel
Harald Giessen
Yuri Kivshar
Thomas Weiss
author_sort Masoud Hamidi
collection DOAJ
description Advancing resonant nanophotonics requires novel building blocks. Recently, cavities in high-index dielectrics have been shown to resonantly confine light inside a lower-index region. These so-called Mie voids represent a counterpart to solid high-index dielectric Mie resonators, offering novel functionality such as resonant behavior in the ultraviolet spectral region. However, the well-known and highly useful Babinet's principle, which relates the scattering of solid and inverse structures, is not strictly applicable for this dielectric case as it is only valid for infinitesimally thin perfect electric conductors. Here, we show that Babinet's principle can be generalized to dielectric and magnetodielectric systems within certain boundaries, which we refer to as the quasi-Babinet principle and demonstrate for spherical and more generically shaped Mie resonators. Limitations arise due to geometry-dependent terms as well as material frequency dispersion and losses. Thus, our work not only offers deeper physical insight into the working mechanism of these systems but also establishes simple design rules for constructing dielectric resonators with complex functionalities from their complementary counterparts.
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institution Kabale University
issn 2643-1564
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publishDate 2025-02-01
publisher American Physical Society
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series Physical Review Research
spelling doaj-art-4141841d2f274e5dae088cdc4e06447b2025-02-06T15:03:35ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101313610.1103/PhysRevResearch.7.013136Quasi-Babinet principle in dielectric resonators and Mie voidsMasoud HamidiKirill KoshelevSergei GladyshevAdrià Canós ValeroMario HentschelHarald GiessenYuri KivsharThomas WeissAdvancing resonant nanophotonics requires novel building blocks. Recently, cavities in high-index dielectrics have been shown to resonantly confine light inside a lower-index region. These so-called Mie voids represent a counterpart to solid high-index dielectric Mie resonators, offering novel functionality such as resonant behavior in the ultraviolet spectral region. However, the well-known and highly useful Babinet's principle, which relates the scattering of solid and inverse structures, is not strictly applicable for this dielectric case as it is only valid for infinitesimally thin perfect electric conductors. Here, we show that Babinet's principle can be generalized to dielectric and magnetodielectric systems within certain boundaries, which we refer to as the quasi-Babinet principle and demonstrate for spherical and more generically shaped Mie resonators. Limitations arise due to geometry-dependent terms as well as material frequency dispersion and losses. Thus, our work not only offers deeper physical insight into the working mechanism of these systems but also establishes simple design rules for constructing dielectric resonators with complex functionalities from their complementary counterparts.http://doi.org/10.1103/PhysRevResearch.7.013136
spellingShingle Masoud Hamidi
Kirill Koshelev
Sergei Gladyshev
Adrià Canós Valero
Mario Hentschel
Harald Giessen
Yuri Kivshar
Thomas Weiss
Quasi-Babinet principle in dielectric resonators and Mie voids
Physical Review Research
title Quasi-Babinet principle in dielectric resonators and Mie voids
title_full Quasi-Babinet principle in dielectric resonators and Mie voids
title_fullStr Quasi-Babinet principle in dielectric resonators and Mie voids
title_full_unstemmed Quasi-Babinet principle in dielectric resonators and Mie voids
title_short Quasi-Babinet principle in dielectric resonators and Mie voids
title_sort quasi babinet principle in dielectric resonators and mie voids
url http://doi.org/10.1103/PhysRevResearch.7.013136
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