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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| Format: | Article |
| Language: | English |
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MDPI AG
2015-05-01
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| Series: | Photonics |
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| Online Access: | http://www.mdpi.com/2304-6732/2/2/459 |
| _version_ | 1828848080608296960 |
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| author | Yingxue Zhao Jinjie Liu |
| author_facet | Yingxue Zhao Jinjie Liu |
| author_sort | Yingxue Zhao |
| collection | DOAJ |
| description | 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). |
| first_indexed | 2024-12-12T22:22:47Z |
| format | Article |
| id | doaj.art-4322335397fd4af186b14b804c081b37 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-12-12T22:22:47Z |
| publishDate | 2015-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-4322335397fd4af186b14b804c081b372022-12-22T00:09:51ZengMDPI AGPhotonics2304-67322015-05-012245946710.3390/photonics2020459photonics2020459FDTD for Hydrodynamic Electron Fluid Maxwell EquationsYingxue Zhao0Jinjie Liu1Department of Mathematical Sciences, Delaware State University, 1200 N. Dupont Hwy, Dover, DE19901, USADepartment of Mathematical Sciences, Delaware State University, 1200 N. Dupont Hwy, Dover, DE19901, USAIn 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).http://www.mdpi.com/2304-6732/2/2/459second-harmonic generationhydrodynamic electron fluid Maxwell equationssplit-ring resonator |
| spellingShingle | Yingxue Zhao Jinjie Liu FDTD for Hydrodynamic Electron Fluid Maxwell Equations Photonics second-harmonic generation hydrodynamic electron fluid Maxwell equations split-ring resonator |
| title | FDTD for Hydrodynamic Electron Fluid Maxwell Equations |
| title_full | FDTD for Hydrodynamic Electron Fluid Maxwell Equations |
| title_fullStr | FDTD for Hydrodynamic Electron Fluid Maxwell Equations |
| title_full_unstemmed | FDTD for Hydrodynamic Electron Fluid Maxwell Equations |
| title_short | FDTD for Hydrodynamic Electron Fluid Maxwell Equations |
| title_sort | fdtd for hydrodynamic electron fluid maxwell equations |
| topic | second-harmonic generation hydrodynamic electron fluid Maxwell equations split-ring resonator |
| url | http://www.mdpi.com/2304-6732/2/2/459 |
| work_keys_str_mv | AT yingxuezhao fdtdforhydrodynamicelectronfluidmaxwellequations AT jinjieliu fdtdforhydrodynamicelectronfluidmaxwellequations |