Dispersion braiding and band knots in plasmonic arrays with broken symmetries

Periodic arrays can support highly nontrivial modal dispersion, stemming from the interplay between localized resonances of the array elements and distributed resonances supported by the lattice. Recently, intentional defects in the periodicity, i.e., broken in situ symmetries, have been attracting...

Full description

Bibliographic Details
Main Authors: Yin Shixiong, Alù Andrea
Format: Article
Language:English
Published: De Gruyter 2023-03-01
Series:Nanophotonics
Subjects:
Online Access:https://doi.org/10.1515/nanoph-2023-0062
_version_ 1826963975245398016
author Yin Shixiong
Alù Andrea
author_facet Yin Shixiong
Alù Andrea
author_sort Yin Shixiong
collection DOAJ
description Periodic arrays can support highly nontrivial modal dispersion, stemming from the interplay between localized resonances of the array elements and distributed resonances supported by the lattice. Recently, intentional defects in the periodicity, i.e., broken in situ symmetries, have been attracting significant attention as a powerful degree of freedom for dispersion control. Here we explore highly nontrivial dispersion features in the resonant response of linear arrays of plasmonic particles, including the emergence of braiding and band knots caused by band folding. We show that these phenomena can be achieved within simple dipolar arrays for which we can derive closed-form expressions for the dispersion relation. These phenomena showcase powerful opportunities stemming from broken symmetries for extreme dispersion engineering, with a wide range of applications, from plasma physics to topological wave phenomena. Our theoretical model can also be generalized to higher dimensions to explore higher-order symmetries, e.g., glide symmetry and quasi-periodicity.
first_indexed 2024-03-12T17:04:06Z
format Article
id doaj.art-858f55bc0cb04bfca8517f48956e6e5d
institution Directory Open Access Journal
issn 2192-8606
2192-8614
language English
last_indexed 2025-02-18T02:48:39Z
publishDate 2023-03-01
publisher De Gruyter
record_format Article
series Nanophotonics
spelling doaj.art-858f55bc0cb04bfca8517f48956e6e5d2024-11-25T11:19:09ZengDe GruyterNanophotonics2192-86062192-86142023-03-0112142963297110.1515/nanoph-2023-0062Dispersion braiding and band knots in plasmonic arrays with broken symmetriesYin Shixiong0Alù Andrea1Department of Electrical Engineering, City College of The City University of New York, New York10031, USADepartment of Electrical Engineering, City College of The City University of New York, New York10031, USAPeriodic arrays can support highly nontrivial modal dispersion, stemming from the interplay between localized resonances of the array elements and distributed resonances supported by the lattice. Recently, intentional defects in the periodicity, i.e., broken in situ symmetries, have been attracting significant attention as a powerful degree of freedom for dispersion control. Here we explore highly nontrivial dispersion features in the resonant response of linear arrays of plasmonic particles, including the emergence of braiding and band knots caused by band folding. We show that these phenomena can be achieved within simple dipolar arrays for which we can derive closed-form expressions for the dispersion relation. These phenomena showcase powerful opportunities stemming from broken symmetries for extreme dispersion engineering, with a wide range of applications, from plasma physics to topological wave phenomena. Our theoretical model can also be generalized to higher dimensions to explore higher-order symmetries, e.g., glide symmetry and quasi-periodicity.https://doi.org/10.1515/nanoph-2023-0062nanophotonicsnonlocal photonicsplasmaplasmonic
spellingShingle Yin Shixiong
Alù Andrea
Dispersion braiding and band knots in plasmonic arrays with broken symmetries
Nanophotonics
nanophotonics
nonlocal photonics
plasma
plasmonic
title Dispersion braiding and band knots in plasmonic arrays with broken symmetries
title_full Dispersion braiding and band knots in plasmonic arrays with broken symmetries
title_fullStr Dispersion braiding and band knots in plasmonic arrays with broken symmetries
title_full_unstemmed Dispersion braiding and band knots in plasmonic arrays with broken symmetries
title_short Dispersion braiding and band knots in plasmonic arrays with broken symmetries
title_sort dispersion braiding and band knots in plasmonic arrays with broken symmetries
topic nanophotonics
nonlocal photonics
plasma
plasmonic
url https://doi.org/10.1515/nanoph-2023-0062
work_keys_str_mv AT yinshixiong dispersionbraidingandbandknotsinplasmonicarrayswithbrokensymmetries
AT aluandrea dispersionbraidingandbandknotsinplasmonicarrayswithbrokensymmetries