A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium
A one-dimensional plasma medium is playing a crucial role in modern sensing device design, which can benefit significantly from numerical electromagnetic wave simulation. In this study, we introduce a novel lattice Boltzmann scheme with a single extended force term for electromagnetic wave propagati...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
|
| Series: | Electronics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-9292/11/6/882 |
| _version_ | 1797471875964600320 |
|---|---|
| author | Huifang Ma Bin Wu Ying Wang Hao Ren Wanshun Jiang Mingming Tang Wenyue Guo |
| author_facet | Huifang Ma Bin Wu Ying Wang Hao Ren Wanshun Jiang Mingming Tang Wenyue Guo |
| author_sort | Huifang Ma |
| collection | DOAJ |
| description | A one-dimensional plasma medium is playing a crucial role in modern sensing device design, which can benefit significantly from numerical electromagnetic wave simulation. In this study, we introduce a novel lattice Boltzmann scheme with a single extended force term for electromagnetic wave propagation in a one-dimensional plasma medium. This method is developed by reconstructing the solution to the macroscopic Maxwell’s equations recovered from the lattice Boltzmann equation. The final formulation of the lattice Boltzmann scheme involves only the equilibrium and one non-equilibrium force term. Among them, the former is calculated from the macroscopic electromagnetic variables, and the latter is evaluated from the dispersive effect. Thus, the proposed lattice Boltzmann scheme directly tracks the evolution of macroscopic electromagnetic variables, which yields lower memory costs and facilitates the implementation of physical boundary conditions. Detailed conduction is carried out based on the Chapman–Enskog expansion technique to prove the mathematical consistency between the proposed lattice Boltzmann scheme and Maxwell’s equations. Based on the proposed method, we present electromagnetic pulse propagating behaviors in nondispersive media and the response of a one-dimensional plasma slab to incident electromagnetic waves that span regions above and below the plasma frequency <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ω</mi><mi>p</mi></msub></mrow></semantics></math></inline-formula>, and further investigate the optical properties of a one-dimensional plasma photonic crystal with periodic thin layers of plasma with different layer thicknesses to verify the stability, accuracy, and flexibility of the proposed method. |
| first_indexed | 2024-03-09T19:54:18Z |
| format | Article |
| id | doaj.art-9a63e7af5f8948ae895dc2bbdb0a5428 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T19:54:18Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-9a63e7af5f8948ae895dc2bbdb0a54282023-11-24T01:00:49ZengMDPI AGElectronics2079-92922022-03-0111688210.3390/electronics11060882A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma MediumHuifang Ma0Bin Wu1Ying Wang2Hao Ren3Wanshun Jiang4Mingming Tang5Wenyue Guo6School of Materials Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaThe 41st Institute of China Electronics Technology Group Corporation, Qingdao 266555, ChinaSchool of Materials Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Materials Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaThe 41st Institute of China Electronics Technology Group Corporation, Qingdao 266555, ChinaSchool of Geosciences, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Materials Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaA one-dimensional plasma medium is playing a crucial role in modern sensing device design, which can benefit significantly from numerical electromagnetic wave simulation. In this study, we introduce a novel lattice Boltzmann scheme with a single extended force term for electromagnetic wave propagation in a one-dimensional plasma medium. This method is developed by reconstructing the solution to the macroscopic Maxwell’s equations recovered from the lattice Boltzmann equation. The final formulation of the lattice Boltzmann scheme involves only the equilibrium and one non-equilibrium force term. Among them, the former is calculated from the macroscopic electromagnetic variables, and the latter is evaluated from the dispersive effect. Thus, the proposed lattice Boltzmann scheme directly tracks the evolution of macroscopic electromagnetic variables, which yields lower memory costs and facilitates the implementation of physical boundary conditions. Detailed conduction is carried out based on the Chapman–Enskog expansion technique to prove the mathematical consistency between the proposed lattice Boltzmann scheme and Maxwell’s equations. Based on the proposed method, we present electromagnetic pulse propagating behaviors in nondispersive media and the response of a one-dimensional plasma slab to incident electromagnetic waves that span regions above and below the plasma frequency <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ω</mi><mi>p</mi></msub></mrow></semantics></math></inline-formula>, and further investigate the optical properties of a one-dimensional plasma photonic crystal with periodic thin layers of plasma with different layer thicknesses to verify the stability, accuracy, and flexibility of the proposed method.https://www.mdpi.com/2079-9292/11/6/882lattice Boltzmann schemeplasma mediumone-dimensional plasma photonic crystalelectromagnetic wave |
| spellingShingle | Huifang Ma Bin Wu Ying Wang Hao Ren Wanshun Jiang Mingming Tang Wenyue Guo A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium Electronics lattice Boltzmann scheme plasma medium one-dimensional plasma photonic crystal electromagnetic wave |
| title | A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium |
| title_full | A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium |
| title_fullStr | A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium |
| title_full_unstemmed | A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium |
| title_short | A Novel Lattice Boltzmann Scheme with Single Extended Force Term for Electromagnetic Wave Propagating in One-Dimensional Plasma Medium |
| title_sort | novel lattice boltzmann scheme with single extended force term for electromagnetic wave propagating in one dimensional plasma medium |
| topic | lattice Boltzmann scheme plasma medium one-dimensional plasma photonic crystal electromagnetic wave |
| url | https://www.mdpi.com/2079-9292/11/6/882 |
| work_keys_str_mv | AT huifangma anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT binwu anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT yingwang anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT haoren anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT wanshunjiang anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT mingmingtang anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT wenyueguo anovellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT huifangma novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT binwu novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT yingwang novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT haoren novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT wanshunjiang novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT mingmingtang novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium AT wenyueguo novellatticeboltzmannschemewithsingleextendedforcetermforelectromagneticwavepropagatinginonedimensionalplasmamedium |