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math.OC2024
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…
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…