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Characterizing photonic band structures using topological data analysis

Leykam Daniel, Angelakis Dimitrios

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URI: http://purl.tuc.gr/dl/dias/02683BED-6337-4F55-BDC1-8E70C273E69B
Year 2021
Type of Item Conference Short Paper
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Bibliographic Citation D. Leykam and D. G. Angelakis, "Characterizing photonic band structures using topological data analysis," presented at the 2021 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), Munich, Germany, 2021, doi: 10.1109/CLEO/Europe-EQEC52157.2021.9541650. https://doi.org/10.1109/CLEO/Europe-EQEC52157.2021.9541650
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Summary

Topological data analysis forms a suite of techniques for characterizing the abstract "shapes" of complex high-dimensional data. Being sensitive to global features, topological data analysis shows promise for the unsupervised machine learning of order parameters and topological phases. Here we show how the topological data analysis technique of persistent homology may be applied to characterize photonic band structures and learn their topological features.

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