A symmetry-protected exceptional ring in a photonic crystal with negative index media
Non-Hermitian topological band structures such as symmetry-protected exceptional rings (SPERs) can emerge for systems described by the generalized eigenvalue problem (GEVP) with Hermitian matrices. In this paper, we numerically analyze a photonic crystal with negative index media, which is described...
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Language: | English |
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De Gruyter
2023-06-01
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Series: | Nanophotonics |
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Online Access: | https://doi.org/10.1515/nanoph-2022-0747 |
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author | Isobe Takuma Yoshida Tsuneya Hatsugai Yasuhiro |
author_facet | Isobe Takuma Yoshida Tsuneya Hatsugai Yasuhiro |
author_sort | Isobe Takuma |
collection | DOAJ |
description | Non-Hermitian topological band structures such as symmetry-protected exceptional rings (SPERs) can emerge for systems described by the generalized eigenvalue problem (GEVP) with Hermitian matrices. In this paper, we numerically analyze a photonic crystal with negative index media, which is described by the GEVP with Hermitian matrices. Our analysis using COMSOL Multiphysics® demonstrates that a SPER emerges for photonic crystals composed of split-ring resonators and metal-wire structures. We expect that the above SPER can be observed in experiments as it emerges at a finite frequency. |
format | Article |
id | doaj-art-359c75bde60548a994468bdf1e34949a |
institution | Kabale University |
issn | 2192-8614 |
language | English |
publishDate | 2023-06-01 |
publisher | De Gruyter |
record_format | Article |
series | Nanophotonics |
spelling | doaj-art-359c75bde60548a994468bdf1e34949a2025-02-02T15:46:12ZengDe GruyterNanophotonics2192-86142023-06-0112132335234610.1515/nanoph-2022-0747A symmetry-protected exceptional ring in a photonic crystal with negative index mediaIsobe Takuma0Yoshida Tsuneya1Hatsugai Yasuhiro2Graduate School of Pure and Applied Sciences, University of Tsukuba, Ibaraki, JapanDepartment of Physics, Kyoto University, Kyoto, JapanDepartment of Physics, University of Tsukuba, Tsukuba, JapanNon-Hermitian topological band structures such as symmetry-protected exceptional rings (SPERs) can emerge for systems described by the generalized eigenvalue problem (GEVP) with Hermitian matrices. In this paper, we numerically analyze a photonic crystal with negative index media, which is described by the GEVP with Hermitian matrices. Our analysis using COMSOL Multiphysics® demonstrates that a SPER emerges for photonic crystals composed of split-ring resonators and metal-wire structures. We expect that the above SPER can be observed in experiments as it emerges at a finite frequency.https://doi.org/10.1515/nanoph-2022-0747generalized eigenvalue problemsnon-hermitian topologytopological photonics |
spellingShingle | Isobe Takuma Yoshida Tsuneya Hatsugai Yasuhiro A symmetry-protected exceptional ring in a photonic crystal with negative index media Nanophotonics generalized eigenvalue problems non-hermitian topology topological photonics |
title | A symmetry-protected exceptional ring in a photonic crystal with negative index media |
title_full | A symmetry-protected exceptional ring in a photonic crystal with negative index media |
title_fullStr | A symmetry-protected exceptional ring in a photonic crystal with negative index media |
title_full_unstemmed | A symmetry-protected exceptional ring in a photonic crystal with negative index media |
title_short | A symmetry-protected exceptional ring in a photonic crystal with negative index media |
title_sort | symmetry protected exceptional ring in a photonic crystal with negative index media |
topic | generalized eigenvalue problems non-hermitian topology topological photonics |
url | https://doi.org/10.1515/nanoph-2022-0747 |
work_keys_str_mv | AT isobetakuma asymmetryprotectedexceptionalringinaphotoniccrystalwithnegativeindexmedia AT yoshidatsuneya asymmetryprotectedexceptionalringinaphotoniccrystalwithnegativeindexmedia AT hatsugaiyasuhiro asymmetryprotectedexceptionalringinaphotoniccrystalwithnegativeindexmedia AT isobetakuma symmetryprotectedexceptionalringinaphotoniccrystalwithnegativeindexmedia AT yoshidatsuneya symmetryprotectedexceptionalringinaphotoniccrystalwithnegativeindexmedia AT hatsugaiyasuhiro symmetryprotectedexceptionalringinaphotoniccrystalwithnegativeindexmedia |