From optical to topological data analysis of colloidal and structured liquid crystals

Malgosia Kaczmarek; Ingrid A. Membrillo Solis; Tetiana Orlova; Karolina Bednarska; Piotr Lesiak; Tomasz R. Wolinski; Giampaolo D'Alessandro; Jacek Brodzki

doi:10.1117/12.2594168

1 August 2021 From optical to topological data analysis of colloidal and structured liquid crystals

Malgosia Kaczmarek, Ingrid A. Membrillo Solis, Tetiana Orlova, Karolina Bednarska, Piotr Lesiak, Tomasz R. Wolinski , Giampaolo D'Alessandro, Jacek Brodzki

Author Affiliations +

Proceedings Volume 11807, Liquid Crystals XXV; 118070U (2021) https://doi.org/10.1117/12.2594168
Event: SPIE Organic Photonics + Electronics, 2021, San Diego, California, United States

Abstract

Colloidal liquid crystals offer a route to change physical properties and create micro and nano structures. Optical methods only characterise relatively simple colloidal systems. More complex systems require powerful data analytic methods. We present a new approach using Topological Data Analysis to reveal the structural and morphological features in a nematic liquid crystal doped with gold nanoparticles confined in a thin capillary, including the changes occurring during phase transitions. Our topological framework allows us to identify distinct temperature-induced macroscopic states, obtain a geometric representation of the time-dependent topological states and identify several configurations with different degrees of symmetry and order.

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Malgosia Kaczmarek, Ingrid A. Membrillo Solis, Tetiana Orlova, Karolina Bednarska, Piotr Lesiak, Tomasz R. Wolinski , Giampaolo D'Alessandro, and Jacek Brodzki "From optical to topological data analysis of colloidal and structured liquid crystals", Proc. SPIE 11807, Liquid Crystals XXV, 118070U (1 August 2021); https://doi.org/10.1117/12.2594168

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