中国物理B ›› 2021, Vol. 30 ›› Issue (12): 125202-125202.doi: 10.1088/1674-1056/ac16cd

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Landau damping of electrons with bouncing motion in a radio-frequency plasma

Jun Tao(陶军)1,2, Nong Xiang(项农)1,†, Yemin Hu(胡业民)1,‡, and Yueheng Huang(黄跃恒)3,4   

  1. 1 Institute of Plasma Physics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, China;
    2 University of Science and Technology of China, Hefei 230026, China;
    3 Advanced Energy Research Center, Shenzhen University, Shenzhen 518060, China;
    4 Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China
  • 收稿日期:2021-05-14 修回日期:2021-07-02 接受日期:2021-07-22 出版日期:2021-11-15 发布日期:2021-11-30
  • 通讯作者: Nong Xiang, Yemin Hu E-mail:xiangn@ipp.ac.cn;yeminhu@ipp.ac.cn
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2017YFE0300406) and the National Natural Science Foundation of China (Grant Nos. 11975272, 12075276, 11805133, 11705236, and 11375234).

Landau damping of electrons with bouncing motion in a radio-frequency plasma

Jun Tao(陶军)1,2, Nong Xiang(项农)1,†, Yemin Hu(胡业民)1,‡, and Yueheng Huang(黄跃恒)3,4   

  1. 1 Institute of Plasma Physics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, China;
    2 University of Science and Technology of China, Hefei 230026, China;
    3 Advanced Energy Research Center, Shenzhen University, Shenzhen 518060, China;
    4 Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China
  • Received:2021-05-14 Revised:2021-07-02 Accepted:2021-07-22 Online:2021-11-15 Published:2021-11-30
  • Contact: Nong Xiang, Yemin Hu E-mail:xiangn@ipp.ac.cn;yeminhu@ipp.ac.cn
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2017YFE0300406) and the National Natural Science Foundation of China (Grant Nos. 11975272, 12075276, 11805133, 11705236, and 11375234).

摘要: One-dimensional particle simulations have been conducted to study the interaction between a radio-frequency electrostatic wave and electrons with bouncing motion. It is shown that bounce resonance heating can occur at the first few harmonics of the bounce frequency (nωb,n=1,2,3,...). In the parameter regimes in which bounce resonance overlaps with Landau resonance, the higher harmonic bounce resonance may accelerate electrons at the velocity much lower than the wave phase velocity to Landau resonance region, enhancing Landau damping of the wave. Meanwhile, Landau resonance can increase the number of electrons in the lower harmonic bounce resonance region. Thus electrons can be efficiently heated. The result might be applicable for collisionless electron heating in low-temperature plasma discharges.

关键词: first few harmonics, bounce resonance, Landau resonance, resonance overlaps

Abstract: One-dimensional particle simulations have been conducted to study the interaction between a radio-frequency electrostatic wave and electrons with bouncing motion. It is shown that bounce resonance heating can occur at the first few harmonics of the bounce frequency (nωb,n=1,2,3,...). In the parameter regimes in which bounce resonance overlaps with Landau resonance, the higher harmonic bounce resonance may accelerate electrons at the velocity much lower than the wave phase velocity to Landau resonance region, enhancing Landau damping of the wave. Meanwhile, Landau resonance can increase the number of electrons in the lower harmonic bounce resonance region. Thus electrons can be efficiently heated. The result might be applicable for collisionless electron heating in low-temperature plasma discharges.

Key words: first few harmonics, bounce resonance, Landau resonance, resonance overlaps

中图分类号:  (Plasma heating by radio-frequency fields; ICR, ICP, helicons)

  • 52.50.Qt
52.40.-w (Plasma interactions (nonlaser)) 52.65.-y (Plasma simulation)