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arXiv · 2404.17281

Topological polarization singularities induced by the non-Hermitian Dirac points

Abstract

A Dirac point in the Hermitian photonic system will split into a pair of exceptional points (EPs) or even spawn a ring of EPs if non-Hermiticity is involved. Here, we present a new type of non-Hermitian Dirac point which is situated in the complex plane of eigenfrequency. When there is differential loss, the Dirac point exhibits a dual behavior: it not only splits into a pair of EPs with opposite chirality in the band structure but also induces a pair of circularly polarized states (C points) with opposite handedness in the far-field radiation. Furthermore, breaking the corresponding mirror symmetries enables independent control of these Dirac-point induced C points, facilitating the merging of two C points and generation of unidirectional guided resonances. Our results demonstrate an explicit relation between the band singularities and polarization singularities, and provide a new mechanism to generate unidirectional emission, which can be useful in the band engineering and polarization manipulation.

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Jun Wang, Jie Liu, Peng Hu, Qiao Jiang, Dezhuan Han. 2024-04-26. Topological polarization singularities induced by the non-Hermitian Dirac points. https://arxiv.org/abs/2404.17281

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