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A bookshelf layer model for anti-kink and kink pair solitons in the ferroelectric liquid crystal

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Abstract

We theoretically investigate the soliton dynamics of ferroelectric liquid crystal materials used in display devices. The approximations and extensions to existing device technology fields where mathematical analysis would improve optical device development are given special consideration. The ferroelectric liquid crystal maintained between two parallel electrical conductors is taken into consideration in order to illustrate bookshelf geometry. These liquid crystal molecules are influenced by an electric field due to their spontaneous polarization. The effect of electric fields and molecular excitations has been successfully established. We study Hirota’s bilinearization method and the \((G'/G)\) expansion method for ferroelectric liquid crystals, which can be expressed by the Sine–Gordon equation governing the soliton dynamics in crystal systems. We suggest that this kind of collisional solitonic humps in nematicon profiles indicates the wide range of optical switching strategies for network design and logic gates. This switching mechanism may have enormous applications in multiplexing liquid crystal displays with higher resolution.

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Acknowledgements

AM and KM acknowledge the Center for Computational Modeling, Chennai Institute of Technology (CIT), India, vide Funding Number CIT/CCM/2023/RP-016.

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  1. Center for Computational Modeling, Chennai Institute of Technology, Chennai, Tamil Nadu, 600 069, India

    A. Muniyappan & K. Manikandan

  2. Department of Physics, Chennai Institute of Technology, Chennai, Tamil Nadu, 600 069, India

    R. Ravichandran

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  1. A. Muniyappan
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Muniyappan, A., Ravichandran, R. & Manikandan, K. A bookshelf layer model for anti-kink and kink pair solitons in the ferroelectric liquid crystal. J Opt (2023). https://doi.org/10.1007/s12596-023-01488-0

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