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math-ph2026
Spectral topology and edge modes for one-dimensional non-Hermitian photonic crystals
Junshan Lin, Hai Zhang
This work investigates edge modes in non-Hermitian photonic crystals with broken spectral reciprocity. In such systems, the spectra of the underlying operators generally form close…
math-ph2024
Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry
Wei Li, Junshan Lin, Jiayu Qiu +1
In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from…
math-ph2023
A rigorous mathematical theory for topological phases and edge modes in spring-mass mechanical systems
Ridvan Ozdemir, Junshan Lin
In this work, we examine the topological phases of the spring-mass lattices when the spatial inversion symmetry of the system is broken and prove the existence of edge modes when t…