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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:348

Article

Kwan, Wingfai¹  Leung, Shingyu¹  Wang, Xiao-Ping¹  Qian, Jianliang² 

[1] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

关键词: Nematic liquid crystals;    Partial differential equations;    Parabolic wave equations;    Numerical methods;    Modeling;    Nematicons;   

DOI  :  10.1016/j.jcp.2017.07.018

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free