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

Jinjie Liu, Moysey Brio, Yong Zeng, Armis R. Zakharian, Walter Hoyer, Stephan W. Koch, Jerome V. Moloney

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)5921-5932
Number of pages12
JournalJournal of Computational Physics
Issue number17
StatePublished - Aug 2010


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

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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