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PIER PIER B PIER C PIER M PIER Letters
2016-10-26
Full Hydrodynamic Model of Nonlinear Electromagnetic Response in Metallic Metamaterials (Invited Paper)
By
Ming Fang,

    Dr. Ming Fang

    Ministry of Education

    Anhui University

    China

    Homepage

Zhixiang Huang,

    Dr. Zhixiang Huang

    Anhui University

    China

    Homepage

Wei E. I. Sha,

    Dr. Wei E. I. Sha

    College of Information Science & Electronic Engineering

    Zhejiang University

    China

    Homepage

Xiaoyan Y. Z. Xiong,

    Dr. Xiaoyan Y. Z. Xiong

    Department of Electrical and Electronic Engineering

    The University of Hong Kong

    China

    Homepage

Xian-Liang Wu

    Dr. Xian-Liang Wu

    Anhui University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 157, 63-78, 2016
doi:10.2528/PIER16100401
Abstract
Applications of metallic metamaterials have generated significant interest in recent years. Electromagnetic behavior of metamaterials in the optical range is usually characterized by a local-linear response. In this article, we develop a finite-difference time-domain (FDTD) solution of the hydrodynamic model that describes a free electron gas in metals. Extending beyond the local-linear response, the hydrodynamic model enables numerical investigation of nonlocal and nonlinear interactions between electromagnetic waves and metallic metamaterials. By explicitly imposing the current continuity constraint, the proposed model is solved in a self-consistent manner. Charge, energy and angular momentum conservation laws of high-order harmonic generation have been demonstrated for the first time by the Maxwell-hydrodynamic FDTD model. The model yields nonlinear optical responses for complex metallic metamaterials irradiated by a variety of waveforms. Consequently, the multiphysics model opens up unique opportunities for characterizing and designing nonlinear nano devices.
Citation
Ming Fang, Zhixiang Huang, Wei E. I. Sha, Xiaoyan Y. Z. Xiong, and Xian-Liang Wu, "Full Hydrodynamic Model of Nonlinear Electromagnetic Response in Metallic Metamaterials (Invited Paper)," Progress In Electromagnetics Research, Vol. 157, 63-78, 2016.
doi:10.2528/PIER16100401
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