Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction
We present a continuative definition of topological charge to depict the polarization defects on any resonant diffraction orders in photonic crystal slab regardless they are radiative or evanescent. By using such a generalized definition, we investigate the origins and conservation of polarization d...
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| Language: | English |
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De Gruyter
2025-01-01
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| Series: | Nanophotonics |
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| Online Access: | https://doi.org/10.1515/nanoph-2024-0514 |
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| author | Yin Xuefan Inoue Takuya Peng Chao Noda Susumu |
| author_facet | Yin Xuefan Inoue Takuya Peng Chao Noda Susumu |
| author_sort | Yin Xuefan |
| collection | DOAJ |
| description | We present a continuative definition of topological charge to depict the polarization defects on any resonant diffraction orders in photonic crystal slab regardless they are radiative or evanescent. By using such a generalized definition, we investigate the origins and conservation of polarization defects across the whole Brillouin zone. We found that the mode crossings due to Brillouin zone folding contribute to the emergence of polarization defects in the entire Brillouin zone. These polarization defects eventually originate from the spontaneous symmetry breaking of line degeneracies fixed at Brillouin zone center or edges, or inter-band coupling caused by accidental Bloch band crossings. Unlike Bloch states, the polarization defects live and evolve in an unbound momentum space, obeying a local conservation law as a direct consequence of Stokes’ theorem, but the total charge number is countless. |
| format | Article |
| id | doaj-art-ce948deab6dc4966ad5447b1fda3449d |
| institution | Kabale University |
| issn | 2192-8614 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nanophotonics |
| spelling | doaj-art-ce948deab6dc4966ad5447b1fda3449d2025-02-02T15:46:12ZengDe GruyterNanophotonics2192-86142025-01-011419510510.1515/nanoph-2024-0514Origins and conservation of topological polarization defects in resonant photonic-crystal diffractionYin Xuefan0Inoue Takuya1Peng Chao2Noda Susumu3Department of Electronic Science and Engineering, Kyoto University, Kyoto-Daigaku-Katsura, Nishikyo-ku, Kyoto, 615-8510, JapanDepartment of Electronic Science and Engineering, Kyoto University, Kyoto-Daigaku-Katsura, Nishikyo-ku, Kyoto, 615-8510, JapanState Key Laboratory of Advanced Optical Communication Systems and Networks, School of Electronics, & Frontiers Science Center for Nano-optoelectronics, 12465Peking University, Beijing, 100871, ChinaDepartment of Electronic Science and Engineering, Kyoto University, Kyoto-Daigaku-Katsura, Nishikyo-ku, Kyoto, 615-8510, JapanWe present a continuative definition of topological charge to depict the polarization defects on any resonant diffraction orders in photonic crystal slab regardless they are radiative or evanescent. By using such a generalized definition, we investigate the origins and conservation of polarization defects across the whole Brillouin zone. We found that the mode crossings due to Brillouin zone folding contribute to the emergence of polarization defects in the entire Brillouin zone. These polarization defects eventually originate from the spontaneous symmetry breaking of line degeneracies fixed at Brillouin zone center or edges, or inter-band coupling caused by accidental Bloch band crossings. Unlike Bloch states, the polarization defects live and evolve in an unbound momentum space, obeying a local conservation law as a direct consequence of Stokes’ theorem, but the total charge number is countless.https://doi.org/10.1515/nanoph-2024-0514photonic crystaltopological chargepolarization defect |
| spellingShingle | Yin Xuefan Inoue Takuya Peng Chao Noda Susumu Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction Nanophotonics photonic crystal topological charge polarization defect |
| title | Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction |
| title_full | Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction |
| title_fullStr | Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction |
| title_full_unstemmed | Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction |
| title_short | Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction |
| title_sort | origins and conservation of topological polarization defects in resonant photonic crystal diffraction |
| topic | photonic crystal topological charge polarization defect |
| url | https://doi.org/10.1515/nanoph-2024-0514 |
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