Exceptional lines and higher-order exceptional points enabled by uniform loss

This study theoretically investigates the realization of exceptional points (EPs) in space-time invariant Lorentz dispersive media with uniform loss, which contrasts sharply with conventional approaches that rely on spatial or temporal differential losses. Using the derived full and reduced Hamiltonians, we reveal that uniform loss in Lorentz dispersive media not only introduces attenuation to the eigenmodes of the lossless medium but also enables two distinct types of non-Hermitian couplings: reciprocal and non-reciprocal. Both coupling mechanisms independently contribute to the emergence of EPs. The EPs manifest as exceptional lines (ELs) in the parameter space, and a fourth-order EP (EP4) is formed when three ELs intersect at a single point. Remarkably, at the EP4, all eigenmodes exhibit maximum optical chirality density, presenting potential applications such as chiral sorting. Our findings provide valuable insights into the mechanisms underpinning the formation of EPs.

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Publication Details

Journal
Scientific Reports
Published
2025-05-10
DOI
https://doi.org/10.1038/s41598-025-00998-0
Citations
2
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
7.45

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article

Exceptional lines and higher-order exceptional points enabled by uniform loss

Fanghu Feng, Neng Wang, Guo Ping Wang
2 citations
Scientific Reports
Algebraic and Geometric Analysis
7.45
article

Exceptional lines and higher-order exceptional points enabled by uniform loss

Fanghu Feng, Neng Wang, Guo Ping Wang
article en
2 citations

Abstract

This study theoretically investigates the realization of exceptional points (EPs) in space-time invariant Lorentz dispersive media with uniform loss, which contrasts sharply with conventional approaches that rely on spatial or temporal differential losses. Using the derived full and reduced Hamiltonians, we reveal that uniform loss in Lorentz dispersive media not only introduces attenuation to the eigenmodes of the lossless medium but also enables two distinct types of non-Hermitian couplings: reciprocal and non-reciprocal. Both coupling mechanisms independently contribute to the emergence of EPs. The EPs manifest as exceptional lines (ELs) in the parameter space, and a fourth-order EP (EP4) is formed when three ELs intersect at a single point. Remarkably, at the EP4, all eigenmodes exhibit maximum optical chirality density, presenting potential applications such as chiral sorting. Our findings provide valuable insights into the mechanisms underpinning the formation of EPs.

Scientific ReportsVol. 15(1)
Shenzhen University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 4%
Algebraic and Geometric Analysis
7.45
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