Uncovering Hidden Resonances in Non‐Hermitian Systems with Scattering Thresholds

Abstract 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.

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Publication Details

Journal
Laser & Photonics Review
Published
2025-07-19
DOI
https://doi.org/10.1002/lpor.202500811
Citations
3
Primary Topic
Plasmonic and Surface Plasmon Research
Type
article
Field-Weighted Citation Impact
2.02

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article

Uncovering Hidden Resonances in Non‐Hermitian Systems with Scattering Thresholds

Lin Zschiedrich, Felix Binkowski, Nick Feldman, Carsten Rockstuhl et al.
3 citations
Laser & Photonics Review
Plasmonic and Surface Plasmon Research
2.02
article

Uncovering Hidden Resonances in Non‐Hermitian Systems with Scattering Thresholds

Lin Zschiedrich, Felix Binkowski, Nick Feldman, Carsten Rockstuhl, Fridtjof Betz, Sven Burger, A. Femius Koenderink, Jan David Fischbach
article en
3 citations

Abstract

Abstract 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.

Laser & Photonics ReviewVol. 19(21)
Karlsruhe Institute of Technology (DE), Zuse Institute Berlin (DE), Institute for Atomic and Molecular Physics (NL), Institute of Nanotechnology (GB), Institute of Solid Mechanics (RO), Advanced Research Center for Nanolithography (Netherlands) (NL)
Helmholtz-Gemeinschaft, Deutsche Forschungsgemeinschaft, Rijksuniversiteit Groningen, Universiteit van Amsterdam, Vrije Universiteit Amsterdam, Bundesministerium für Bildung und Forschung, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Berlin Mathematics Research Center MATH+
Openalex Percentile: Top 13%
Plasmonic and Surface Plasmon Research
2.02
DOIOpen Access PDFOpenAlex
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