Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model

作者：Liu Jinjie^*; Brio Moysey; Zeng Yong; Zakharian Armis R; Hoyer Walter; Koch Stephan W; Moloney Jerome V

来源：Journal of Computational Physics, 2010, 229(17): 5921-5932.

DOI：10.1016/j.jcp.2010.04.016

• Maxwell's equations
• FDTD method
• Cold-plasma equations
• Metamaterials
• Second-harmonic generation

In this paper we present a numerical method for solving a three-dimensional cold-plasma system that describes electron gas dynamics driven by an external electromagnetic wave excitation. The nonlinear Drude dispersion model is derived from the cold-plasma fluid equations and is coupled to the Maxwell's field equations. The Finite-Difference Time-Domain (FDTD) method is applied for solving the Maxwell's equations in conjunction with the time-split semi-implicit numerical method for the nonlinear dispersion and a physics based treatment of the discontinuity of the electric field component normal to the dielectric-metal interface The application of the proposed algorithm is illustrated by modeling light pulse propagation and second-harmonic generation (SHG) in metallic metamaterials (MMs), showing good agreement between computed and published experimental results.

• 出版日期2010-8-20