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...
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Format: | Article |
Language: | English |
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De Gruyter
2023-03-01
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Series: | Nanophotonics |
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Online Access: | https://doi.org/10.1515/nanoph-2023-0062 |
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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 |