Uncovering hidden resonances in non-Hermitian systems with scattering thresholds
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arXiv
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| Hauptverfasser: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911262701518848 |
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| author | Betz, Fridtjof Binkowski, Felix Fischbach, Jan David Feldman, Nick Zschiedrich, Lin Rockstuhl, Carsten Koenderink, A. Femius Burger, Sven |
| author_facet | Betz, Fridtjof Binkowski, Felix Fischbach, Jan David Feldman, Nick Zschiedrich, Lin Rockstuhl, Carsten Koenderink, A. Femius Burger, Sven |
| contents | The points where diffraction orders emerge or vanish in the propagating spectrum of periodic non-Hermitian systems are referred to as scattering thresholds. Close to these branch points, resonances from different Riemann sheets can tremendously impact the optical response. However, these resonances are so far elusive for two reasons. First, their contribution to the signal is partially obscured, and second, they are inaccessible for standard computational methods. Here, the interplay of scattering thresholds with resonances is explored and a multi-valued rational approximation is introduced to access the hidden resonances. The theoretical and numerical approach is used to analyze the resonances of a plasmonic line grating. This work elegantly explains the occurrence of pronounced spectral features at scattering thresholds applicable to many nanophotonic systems of contemporary and future interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uncovering hidden resonances in non-Hermitian systems with scattering thresholds Betz, Fridtjof Binkowski, Felix Fischbach, Jan David Feldman, Nick Zschiedrich, Lin Rockstuhl, Carsten Koenderink, A. Femius Burger, Sven Optics The points where diffraction orders emerge or vanish in the propagating spectrum of periodic non-Hermitian systems are referred to as scattering thresholds. Close to these branch points, resonances from different Riemann sheets can tremendously impact the optical response. However, these resonances are so far elusive for two reasons. First, their contribution to the signal is partially obscured, and second, they are inaccessible for standard computational methods. Here, the interplay of scattering thresholds with resonances is explored and a multi-valued rational approximation is introduced to access the hidden resonances. The theoretical and numerical approach is used to analyze the resonances of a plasmonic line grating. This work elegantly explains the occurrence of pronounced spectral features at scattering thresholds applicable to many nanophotonic systems of contemporary and future interest. |
| title | Uncovering hidden resonances in non-Hermitian systems with scattering thresholds |
| topic | Optics |
| url | https://arxiv.org/abs/2503.03549 |