Characterizing Photonic Band Structures Using Topological Data Analysis

Daniel Leykam; Dimitris G. Angelakis; Dimitris G. Angelakis

2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference
OSA Technical Digest (Optica Publishing Group, 2021),
paper ec_5_3

Characterizing Photonic Band Structures Using Topological Data Analysis

Daniel Leykam and Dimitris G. Angelakis

European Quantum Electronics Conference 2021

Munich Germany
21–25 June 2021
ISBN: 978-1-6654-1876-8

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Emerging Trends in Topology (ec_5)

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D. Leykam and D. G. Angelakis, "Characterizing Photonic Band Structures Using Topological Data Analysis," in 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, OSA Technical Digest (Optica Publishing Group, 2021), paper ec_5_3.

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Abstract

We show how the topological data analysis technique of persistent homology may used to characterize topological properties of photonic band structures, from known topological phases to bands with novel multi-valley and looped dispersion relations.

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