A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals

Wingfai Kwan Shing-Yu Leung Xiao-Ping Wang Jianliang Qian

Numerical Analysis and Scientific Computing mathscidoc:1912.43194

Journal of Computational Physics, 348, 108-138, 2017.11
We propose a numerically efficient algorithm for simulating the multi-color optical self-focusing phenomena in nematic liquid crystals. The propagation of the nematicon is modeled by a parabolic wave equation coupled with a nonlinear elliptic partial differential equation governing the angle between the crystal and the direction of propagation. Numerically, the paraxial parabolic wave equation is solved by a fast Huygens sweeping method, while the nonlinear elliptic PDE is handled by the alternating direction explicit (ADE) method. The overall algorithm is shown to be numerically efficient for computing high frequency beam propagations.
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@inproceedings{wingfai2017a,
  title={A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals},
  author={Wingfai Kwan, Shing-Yu Leung, Xiao-Ping Wang, and Jianliang Qian},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221112850429010754},
  booktitle={Journal of Computational Physics},
  volume={348},
  pages={108-138},
  year={2017},
}
Wingfai Kwan, Shing-Yu Leung, Xiao-Ping Wang, and Jianliang Qian. A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. 2017. Vol. 348. In Journal of Computational Physics. pp.108-138. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221112850429010754.
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