Propagation and circulating modes of reciprocal non-Hermitian skin effect

Fuente: arXiv
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Main Authors: Takeda, Issei, Yoda, Taiki, Moritake, Yuto, Takata, Kenta, Notomi, Masaya
Format: Preprint
Published: 2025
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author Takeda, Issei
Yoda, Taiki
Moritake, Yuto
Takata, Kenta
Notomi, Masaya
author_facet Takeda, Issei
Yoda, Taiki
Moritake, Yuto
Takata, Kenta
Notomi, Masaya
contents The non-Hermitian skin effect (NHSE) is a novel localization phenomenon, in which all bulk states in a non-Hermitian system under certain conditions are localized at the edge of the system. Conventionally, most studies of NHSE have dealt with discrete lattice systems with non-reciprocal couplings. However in recent years, NHSE in a reciprocal two-dimensional continuous medium, such as photonic crystal systems, has also been reported. In particular, we have previously shown that NHSE also occurs in two-dimensional uniform media. In such two-dimensional systems, skin modes propagate in a direction perpendicular to the localization direction, and especially, they have the property of propagating in only one direction. In this paper, we show numerically an intriguing scattering phenomenon: when a scatterer is placed in the path of a skin mode, the scattering causes the skin mode to hop between opposing edges. In addition, we propose a new method of generating circulating modes with orbital angular momentum using this scattering phenomenon. Our work paves the way for new applications of NHSE as micro-sized optical devices manipulating or generating OAM.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01417
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Propagation and circulating modes of reciprocal non-Hermitian skin effect
Takeda, Issei
Yoda, Taiki
Moritake, Yuto
Takata, Kenta
Notomi, Masaya
Optics
The non-Hermitian skin effect (NHSE) is a novel localization phenomenon, in which all bulk states in a non-Hermitian system under certain conditions are localized at the edge of the system. Conventionally, most studies of NHSE have dealt with discrete lattice systems with non-reciprocal couplings. However in recent years, NHSE in a reciprocal two-dimensional continuous medium, such as photonic crystal systems, has also been reported. In particular, we have previously shown that NHSE also occurs in two-dimensional uniform media. In such two-dimensional systems, skin modes propagate in a direction perpendicular to the localization direction, and especially, they have the property of propagating in only one direction. In this paper, we show numerically an intriguing scattering phenomenon: when a scatterer is placed in the path of a skin mode, the scattering causes the skin mode to hop between opposing edges. In addition, we propose a new method of generating circulating modes with orbital angular momentum using this scattering phenomenon. Our work paves the way for new applications of NHSE as micro-sized optical devices manipulating or generating OAM.
title Propagation and circulating modes of reciprocal non-Hermitian skin effect
topic Optics
url https://arxiv.org/abs/2505.01417