Numerical simulation of a coupled system of Maxwell equations and a gas dynamic model

JOURNAL OF COMPUTATIONAL PHYSICS

卷:409

Article

Lyu, Maohui¹  Chew, Weng Cho²  Jiang, Lijun³  Li, Maojun⁴  Xu, Liwei⁴ 

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[2] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA

[3] Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Peoples R China

[4] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

关键词: Discontinuous Galerkin method;    Maxwell equations;    Gas dynamic model;    Quantum pressure;    Nonlocal effect;    High order harmonic generation;   

DOI  :  10.1016/j.jcp.2020.109354

来源: Elsevier

【 摘 要 】

It is known that both linear and nonlinear optical phenomena can be produced when the plasmon in metallic nanostructures are excited by the external electromagnetic waves. In this work, a coupled system of Maxwell equations and a gas dynamic model including a quantum pressure term is employed to simulate the plasmon dynamics of free electron fluid in different metallic nanostructures using a discontinuous Galerkin method. Numerical benchmarks demonstrate that the proposed numerical method can simulate both the high order harmonic generation and the nonlocal effect from metallic nanostructures. Based on the switch-on-and-off investigation, we can conclude that the quantum pressure term in gas dynamics is responsible for the bulk plasmon resonance. In addition, for the dielectric-filled nano-cavity, a coupled effective polarization model is further adopted to investigate the optical behavior of bound electrons. Concerning the numerical setting in this work, a strengthened influence of bound electrons on the generation of high order harmonic waves has been observed. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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