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

doi:10.1016/j.jcp.2010.04.016

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 journal › Article › peer-review

40 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	5921-5932
Number of pages	12
Journal	Journal of Computational Physics
Volume	229
Issue number	17
DOIs	https://doi.org/10.1016/j.jcp.2010.04.016
State	Published - Aug 2010

Keywords

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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10.1016/j.jcp.2010.04.016

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title = "Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model",

abstract = "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.",

keywords = "Cold-plasma equations, FDTD method, Maxwell's equations, Metamaterials, Second-harmonic generation",

author = "Jinjie Liu and Moysey Brio and Yong Zeng and Zakharian, {Armis R.} and Walter Hoyer and Koch, {Stephan W.} and Moloney, {Jerome V.}",

note = "Funding Information: The authors thank Dr. J{\"o}rg Hader and Dr. Miroslav Kolesik for helpful discussions. This work was supported by the Air Force Office of Scientific Research (AFOSR) under Grant Nos. FA9550–07-1–0010 and FA9550–04-1–0213 . Moysey Brio also would like to acknowledge the support from NSF Grant ITR-0325097 .",

year = "2010",

month = aug,

doi = "10.1016/j.jcp.2010.04.016",

language = "English (US)",

volume = "229",

pages = "5921--5932",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

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T1 - Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model

AU - Liu, Jinjie

AU - Brio, Moysey

AU - Zeng, Yong

AU - Zakharian, Armis R.

AU - Hoyer, Walter

AU - Koch, Stephan W.

AU - Moloney, Jerome V.

N1 - Funding Information: The authors thank Dr. Jörg Hader and Dr. Miroslav Kolesik for helpful discussions. This work was supported by the Air Force Office of Scientific Research (AFOSR) under Grant Nos. FA9550–07-1–0010 and FA9550–04-1–0213 . Moysey Brio also would like to acknowledge the support from NSF Grant ITR-0325097 .

PY - 2010/8

Y1 - 2010/8

N2 - 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.

AB - 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.

KW - Cold-plasma equations

KW - FDTD method

KW - Maxwell's equations

KW - Metamaterials

KW - Second-harmonic generation

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SN - 0021-9991

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JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 17

ER -

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

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