FDTD for Hydrodynamic Electron Fluid Maxwell Equations

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) metho...

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Bibliographic Details
Main Authors: Yingxue Zhao, Jinjie Liu
Format: Article
Language:English
Published: MDPI AG 2015-05-01
Series:Photonics
Subjects:
Online Access:http://www.mdpi.com/2304-6732/2/2/459
Description
Summary: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).
ISSN:2304-6732