Transmissivity of electromagnetic wave propagating in magnetized plasma sheath using variational method

Jianyi CHEN (陈建义); Chengxun YUAN (袁承勋); Xiudong SUN (孙秀冬); Lei HUO (霍雷)

doi:10.1088/2058-6272/ab4199

Plasma Science and Technology > 2019 > 21(12): 125001. > DOI: 10.1088/2058-6272/ab4199

Jianyi CHEN (陈建义), Chengxun YUAN (袁承勋), Xiudong SUN (孙秀冬), Lei HUO (霍雷). Transmissivity of electromagnetic wave propagating in magnetized plasma sheath using variational method[J]. Plasma Science and Technology, 2019, 21(12): 125001. DOI: 10.1088/2058-6272/ab4199

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Transmissivity of electromagnetic wave propagating in magnetized plasma sheath using variational method

Department of Physics, Harbin Institute of Technology, Harbin 150001, People's Republic of China

Funds: This research was supported by the National Key Basic Research Program of China (No. 2014CB340203).

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Received Date: May 30, 2019
Revised Date: September 03, 2019
Accepted Date: September 04, 2019

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Abstract

Abstract

A variational method is introduced to analyze the transmissivity of an electromagnetic wave propagating in the magnetized plasma sheath. The plasma density is modeled by two parabolic inhomogeneous regions separated by one homogeneous region. The Lagrangian density of the system is constructed based on the fluid energy density and the electromagnetic energy density. The total variation of the Lagrangian density is derived. The fluid and electromagnetic fields are numerically solved by expansion in piecewise polynomial function space. We investigate the effect of an external magnetic field on the transmissivity of the electromagnetic wave. It is found that the transmissivity is increased when an external magnetic field is applied. The dependence of transmissivity on the collision frequency between the electrons and the neutral particles has also been studied. We also show that the external magnetic field causes a shift in the critical frequency of the plasma sheath.
- electromagnetic wave propagation,
- variational method,
- wave theory,
- wave propagation,
- plasma sheath

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References (24)

References

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Transmissivity of electromagnetic wave propagating in magnetized plasma sheath using variational method