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Photonics Research, Volume. 12, Issue 4, 865(2024)

Highly efficient nonuniform finite difference method for three-dimensional electrically stimulated liquid crystal photonic devices

Zhenghao Guo1,2、†, Mengjun Liu3,4、†, Zijia Chen1,2, Ruizhi Yang3,4, Peiyun Li1,2, Haixia Da5,6, Dong Yuan1,2, Guofu Zhou1,2, Lingling Shui3,4,7, and Huapeng Ye1,2、*
Author Affiliations
  • 1Guangdong Provincial Key Laboratory of Optical Information Materials and Technology & Institute of Electronic Paper Displays, South China Academy of Advanced Optoelectronics, South China Normal University, Guangzhou 510006, China
  • 2SCNU-TUE Joint Lab of Device Integrated Responsive Materials (DIRM), National Center for International Research on Green Optoelectronics, South China Normal University, Guangzhou 510006, China
  • 3Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
  • 4Joint Laboratory of Optofluidic Technology and Systems, National Center for International Research on Green Optoelectronics, South China Academy of Advanced Optoelectronics, South China Normal University, Guangzhou 510006, China
  • 5College of Electronic and Optical Engineering & College of Microelectronics, Nanjing University of Posts and Telecommunications, Nanjing 210046, China
  • 6Key Laboratory of Radio Frequency and Micro-Nano Electronics of Jiangsu Province, Nanjing 210023, China
  • 7e-mail: shuill@m.scnu.edu.cn
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    [1] J. Xiong, S.-T. Wu. Planar liquid crystal polarization optics for augmented reality and virtual reality: from fundamentals to applications. eLight, 1, 3(2021).

    [2] K. X. Chen, Y. Hou, S. Q. Chen. Design, fabrication, and applications of liquid crystal microlenses. Adv. Opt. Mater., 9, 2100370(2021).

    [3] A. V. Mamonova, I. V. Simdyankin, I. V. Kasyanova. Liquid crystal metasurfaces for versatile electrically tunable diffraction. Liq. Cryst., 50, 1555(2023).

    [4] I. V. Kasyanova, M. V. Gorkunov, V. V. Artemov. Liquid crystal metasurfaces on micropatterned polymer substrates. Opt. Express, 26, 20258-20269(2018).

    [5] I. H. Lin, D. S. Miller, P. J. Bertics. Endotoxin-induced structural transformations in liquid crystalline droplets. Science, 332, 1297-1300(2011).

    [6] T. Liu, F. Pagliano, R. van Veldhoven. Integrated nano-optomechanical displacement sensor with ultrawide optical bandwidth. Nat. Commun., 11, 2407(2020).

    [7] M. Xu, H. Hua. Geometrical-lightguide-based head-mounted lightfield displays using polymer-dispersed liquid-crystal films. Opt. Express, 28, 21165-21181(2020).

    [8] J. Ryu, N. Muravev, D. Piskunov. Deflector for resolution enhancement of head mounted displays and other visual systems. Conference on Lasers and Electro-Optics (CLEO), 1-2(2021).

    [9] S. Q. Li, X. Xu, R. Maruthiyodan Veetil. Phase-only transmissive spatial light modulator based on tunable dielectric metasurface. Science, 364, 1087-1090(2019).

    [10] Z. Zhu, Y. Wen, J. Li. Metasurface-enabled polarization-independent LCoS spatial light modulator for 4K resolution and beyond. Light Sci. Appl., 12, 151(2023).

    [11] L. Begel, T. Galstian. Liquid crystal lens with corrected wavefront asymmetry. Appl. Opt., 57, 5072-5078(2018).

    [12] H. C. Lin, Y. H. Lin. An electrically tunable-focusing liquid crystal lens with a low voltage and simple electrodes. Opt. Express, 20, 2045-2052(2012).

    [13] Z. Liu, G. Hu, H. Ye. Mold-free self-assembled scalable microlens arrays with ultrasmooth surface and record-high resolution. Light Sci. Appl., 12, 143(2023).

    [14] M. Guan, Y. Xie, Y. Zhang. Moisture-tailored 2D Dion–Jacobson perovskites for reconfigurable optoelectronics. Adv. Mater., 35, 2210611(2023).

    [15] X. Wang, W. Yang, Z. Liu. Switchable Fresnel lens based on hybrid photo-aligned dual frequency nematic liquid crystal. Opt. Mater. Express, 7, 8-15(2017).

    [16] P. Chen, B.-Y. Wei, W. Hu. Liquid-crystal-mediated geometric phase: from transmissive to broadband reflective planar optics. Adv. Mater., 32, 1903665(2020).

    [17] C. P. Jisha, S. Nolte, A. Alberucci. Geometric phase in optics: from wavefront manipulation to waveguiding. Laser Photonics Rev., 15, 2100003(2021).

    [18] C. Meng, S. J. Wu, I. I. Smalyukh. Topological steering of light by nematic vortices and analogy to cosmic strings. Nat. Mater., 22, 64-72(2023).

    [19] X. Wang, S. Wu, W. Yang. Light-driven liquid crystal circular Dammann grating fabricated by a micro-patterned liquid crystal polymer phase mask. Polymers, 9, 380(2017).

    [20] J. Xiong, R. Chen, S. T. Wu. Device simulation of liquid crystal polarization gratings. Opt. Express, 27, 18102-18112(2019).

    [21] H. Milton, P. Brimicombe, P. Morgan. Optimization of refractive liquid crystal lenses using an efficient multigrid simulation. Opt. Express, 20, 11159-11165(2012).

    [22] G. D. Lee, J. Anderson, P. J. Bos. Fast Q-tensor method for modeling liquid crystal director configurations with defects. Appl. Phys. Lett., 81, 3951-3953(2002).

    [23] N. J. Mottram, C. J. Newton. Introduction to Q-tensor theory. arXiv(2014).

    [24] I. Nys, M. Stebryte, Y. Y. Ussembayev. Tilted chiral liquid crystal gratings for efficient large-angle diffraction. Adv. Opt. Mater., 7, 1901364(2019).

    [25] I. Nys, J. Beeckman, K. Neyts. Surface-mediated alignment of long pitch chiral nematic liquid crystal structures. Adv. Opt. Mater., 6, 1800070(2018).

    [26] C. S. MacDonald, J. A. Mackenzie, A. Ramage. Efficient moving mesh methods for Q-tensor models of nematic liquid crystals. SIAM J. Sci. Comput., 37, B215-B238(2015).

    [27] F. C. Frank. I. Liquid crystals. On the theory of liquid crystals. Discuss. Faraday Soc., 25, 19-28(1958).

    [28] P. D. Gennes, J. Prost. The Physics of Liquid Crystals(1993).

    [29] J. M. Ball. Mathematics and liquid crystals. Mol. Cryst. Liq. Cryst., 647, 1-27(2017).

    [30] J. P. Hernández-Ortiz, B. T. Gettelfinger, J. Moreno-Razo. Modeling flows of confined nematic liquid crystals. J. Chem. Phys., 134, 134905(2011).

    [31] H. Mori, E. C. Gartland, J. R. Kelly. Multidimensional director modeling using the Q tensor representation in a liquid crystal cell and its application to the π cell with patterned electrodes. Jpn. J. Appl. Phys., 38, 135(1999).

    [32] D. M. Young. Convergence properties of the symmetric and unsymmetric successive overrelaxation methods and related methods. Math. Comput., 24, 793-807(1970).

    [33] A. Nicholls, B. Honig. A rapid finite difference algorithm, utilizing successive over-relaxation to solve the Poisson–Boltzmann equation. J. Comput. Chem., 12, 435-445(1991).

    [34] N. Qian. On the momentum term in gradient descent learning algorithms. Neural Netw., 12, 145-151(1999).

    [35] E. Willman, F. A. Fernández, R. James. Modeling of weak anisotropic anchoring of nematic liquid crystals in the Landau–de Gennes theory. IEEE Trans. Electron Devices, 54, 2630-2637(2007).

    [36] http://www.hcch.net.cn/. http://www.hcch.net.cn/

    [37] http://comsol.com. http://comsol.com

    [38] https://www.mathworks.com. https://www.mathworks.com

    [39] https://www.lumerical.com. https://www.lumerical.com

    [40] R. James, E. Willman, F. A. Fernandez. Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order. IEEE Trans. Electron Devices, 53, 1575-1582(2006).

    [41] F. Lin, C. Wang. Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Philos. Trans. R. Soc. A, 372, 20130361(2014).

    [42] R. James, E. Willman, F. A. Fernandez. Computer modeling of liquid crystal hydrodynamics. IEEE Trans. Magn., 44, 814-817(2008).

    [43] R. K. Luneburg, E. Wolf, M. Herzberger. Mathematical Theory of Optics(1964).

    [44] H. Ye, C.-W. Qiu, K. Huang. Creation of a longitudinally polarized subwavelength hotspot with an ultra-thin planar lens: vectorial Rayleigh–Sommerfeld method. Laser Phys. Lett., 10, 065004(2013).

    [45] F. Shen, A. Wang. Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula. Appl. Opt., 45, 1102-1110(2006).

    [46] H. Dou, F. Chu, Y. Q. Guo. Large aperture liquid crystal lens array using a composited alignment layer. Opt. Express, 26, 9254-9262(2018).

    [47] F. Chu, L.-L. Tian, R. Li. Adaptive nematic liquid crystal lens array with resistive layer. Liq. Cryst., 47, 563-571(2020).

    [48] Y. Li, S. T. Wu. Polarization independent adaptive microlens with a blue-phase liquid crystal. Opt. Express, 19, 8045-8050(2011).

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    Zhenghao Guo, Mengjun Liu, Zijia Chen, Ruizhi Yang, Peiyun Li, Haixia Da, Dong Yuan, Guofu Zhou, Lingling Shui, Huapeng Ye, "Highly efficient nonuniform finite difference method for three-dimensional electrically stimulated liquid crystal photonic devices," Photonics Res. 12, 865 (2024)

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    Paper Information

    Category: Physical Optics

    Received: Dec. 21, 2023

    Accepted: Feb. 10, 2024

    Published Online: Apr. 1, 2024

    The Author Email: Huapeng Ye (yehp@m.scnu.edu.cn)

    DOI:10.1364/PRJ.516364

    CSTR:32188.14.PRJ.516364

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology