Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals

Abstract

We explore absorbing open-boundary modes in non-Hermitian photonic systems. The modes have a continuum spectrum in the infinite system-size limit and can exhibit the non-Hermitian skin effect. In contrast to the conventional non-Hermitian skin modes under the fixed-end open-boundary condition, the modes concerned exhibit a strongly size-dependent spectrum that gradually converges to the non-Bloch-band dispersion. The modes correspond to the poles of the $S$ matrix, and are closely related to the lasing. We demonstrate these properties in a two-dimensional non-Hermitian photonic crystal with gain having a point-(pseudo)gap topology.

arXiv comment9 pages, 6 figures, some explanations added, Fig.4 revised

References in corpus (19)

• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Non-Hermitian Boundary Modes
• Anatomy of skin modes and topology in non-Hermitian systems
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Active topological photonics
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Geometry-dependent skin effects in reciprocal photonic crystals

Cited by in corpus (2)

• Non-Bloch band theory for non-Hermitian continuum systems
• Optical non-Hermitian skin effect in two-dimensional uniform media