Journal article

Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene

Hailong Guo, Xu Yang, Yi Zhu

JOURNAL OF COMPUTATIONAL PHYSICS | ACADEMIC PRESS INC ELSEVIER SCIENCE | Published : 2019

Abstract

Photonic graphene, a photonic crystal with honeycomb structures, has been intensively studied in both theoretical and applied fields. Similar to graphene which admits Dirac Fermions and topological edge states, photonic graphene supports novel and subtle propagating modes (edge modes) of electromagnetic waves. These modes have wide applications in many optical systems. In this paper, we propose a novel gradient recovery method based on Bloch theory for the computation of topological edge modes in photonic graphene. Compared to standard finite element methods, this method provides higher order accuracy with the help of gradient recovery technique. This high order accuracy is desired for const..

View full abstract

University of Melbourne Researchers

Grants

Awarded by National Natural Science Foundation of China


Awarded by NSF


Awarded by Tsinghua University Initiative Scientific Research Program


Funding Acknowledgements

This work was supported by the National Natural Science Foundation of China under grant 11871299, NSF grants DMS-1418936 and DMS-1818592, Andrew Sisson Fund of the University of Melbourne, and Tsinghua University Initiative Scientific Research Program (Grant 20151080424).