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Photonics 2015, 2(2), 459-467; doi:10.3390/photonics2020459

FDTD for Hydrodynamic Electron Fluid Maxwell Equations

Department of Mathematical Sciences, Delaware State University, 1200 N. Dupont Hwy, Dover, DE19901, USA
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Received: 15 April 2015 / Accepted: 4 May 2015 / Published: 6 May 2015
(This article belongs to the Special Issue New Frontiers in Plasmonics and Metamaterials)
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Abstract

In this work, we develop a numerical method for solving the three dimensional hydrodynamic electron fluid Maxwell equations that describe the electron gas dynamics driven by an external electromagnetic wave excitation. Our numerical approach is based on the Finite-Difference Time-Domain (FDTD) method for solving the Maxwell’s equations and an explicit central finite difference method for solving the hydrodynamic electron fluid equations containing both electron density and current equations. Numerical results show good agreement with the experiment of studying the second-harmonic generation (SHG) from metallic split-ring resonator (SRR). View Full-Text
Keywords: second-harmonic generation; hydrodynamic electron fluid Maxwell equations; split-ring resonator second-harmonic generation; hydrodynamic electron fluid Maxwell equations; split-ring resonator
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhao, Y.; Liu, J. FDTD for Hydrodynamic Electron Fluid Maxwell Equations. Photonics 2015, 2, 459-467.

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