, Volume 13, Issue 5, pp 1699–1704 | Cite as

Boltzmann Finite-Difference Time-Domain Method Research Electromagnetic Wave Oblique Incidence into Plasma

  • Jian-Xiao Liu
  • Ze-Kun Yang
  • Lu Ju
  • Lei-Qing Pan
  • Zhi-Gang Xu
  • Hong-Wei YangEmail author


Boltzmann equation is carried out to study the micromechanism of interaction between electromagnetic wave and plasma. The Boltzmann-FDTD iteration formula that is about electromagnetic wave obliquely incident into plasma under one-dimensional case is deduced. The reflection coefficient and transmission coefficient of the plasma flat are calculated when the electromagnetic wave incidents into plasma medium at different incident angles. The correctness of the algorithm is proved through some examples in this paper. The change law and mechanism of the electromagnetic wave energy, the reflection coefficient, and incidence coefficient with the changing of the incident angle are analyzed. The evolution law when the distribution function of particles of plasma is acting with electromagnetic wave is study. This work will help us to study the macro and micro relationship about plasma matters in the future.


Boltzmann equation Distribution function Finite-difference time-domain (FDTD) Oblique incidence Plasma 


Funding Information

This work is supported by the Natural Science Foundation of China (No. 11674174) and the College of Sciences of Nanjing Agricultural University (Grant No. CoS201410).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Jian-Xiao Liu
    • 1
    • 2
  • Ze-Kun Yang
    • 3
  • Lu Ju
    • 2
  • Lei-Qing Pan
    • 4
  • Zhi-Gang Xu
    • 5
  • Hong-Wei Yang
    • 2
    Email author
  1. 1.School of Electronics and Information EngineeringHengshui UniversityHebeiPeople’s Republic of China
  2. 2.Department of Physics, College of ScienceNanjing Agricultural UniversityNanjingPeople’s Republic of China
  3. 3.School of Information Science & EngineeringLanzhou UniversityLanzhouPeople’s Republic of China
  4. 4.College of Food Science and TechnologyNanjing Agricultural UniversityNanjingPeople’s Republic of China
  5. 5.College of AgricultureNanjing Agricultural UniversityNanjingPeople’s Republic of China

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