Topological-Invariant-Optics

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Topological-Invariant-Optics

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Topological Invariant Calculation for Photonic Crystals Including Chern Number and Wilson Loop

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# Topological-Invariant-Optics
Topological Invariant Calculation for Photonic Crystals Including Chern Number and Wilson Loop

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## Publication
1.  Ran Zhao, Guoda Xie, Menglin L. N. Chen, Zhihao Lan, Zhixiang Huang, and Wei E. I. Sha, “[First-Principle Calculation of Chern Number in Gyrotropic Photonic Crystals](https://doi.org/10.1364/OE.380077),” Optics Express, vol. 28 , no. 4, pp. 4638-4649, Feb. 2020.

2.  Menglin L.N. Chen, Li Jun Jiang, Shuang Zhang, Ran Zhao, Zhihao Lan, and Wei E.I. Sha, “[Comparative Study of Hermitian and Non-Hermitian Topological Dielectric Photonic Crystals](https://doi.org/10.1103/PhysRevA.104.033501),” Physical Review A, vol. 104, pp. 033501, Sep. 2021.

## MATLAB Files
FD_PCs_ChernNumber_Ex2/3.m:  Chern number calculation in Gyrotropic photonic crystals with generalized finite-difference method

FD_PCs_Wilson_loop.m:  Wilson loop calculation in Hermitian and non-Hermitian dielectric photonic crystals with generalized finite-difference method

## Collaborators
[Dr. Menglin CHEN](https://menglin-c.github.io) at Hong Kong Polytechnic University

[Dr. Ran Zhao](https://faculty.uestc.edu.cn/zhaoran/zh_CN/jsxx/478933/jsxx/jsxx.htm) at University of Electronic Science and Technology of China

Topological-Invariant-Optics

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