5 papers
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…
Mathematical Theory for Photonic Hall Effect in Honeycomb Photonic Crystals
Wei Li, Junshan Lin, Jiayu Qiu +1
In this work, we develop a mathematical theory for the photonic Hall effect and prove the existence of guided electromagnetic waves at the interface of two honeycomb photonic cryst…
A Semi-definite Optimization Method for Maximizing the Shared Band Gap of Topological Photonic Crystals
Chiu-Yen Kao, Junshan Lin, Braxton Osting
Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator…
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…
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…