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Chin. Phys. B, 2015, Vol. 24(11): 115201    DOI: 10.1088/1674-1056/24/11/115201

Discontinuity of mode transition and hysteresis in hydrogen inductively coupled plasma via a fluid model

Xu Hui-Jing (徐会静), Zhao Shu-Xia (赵书霞), Gao Fei (高飞), Zhang Yu-Ru (张钰如), Li Xue-Chun (李雪春), Wang You-Nian (王友年)
Key Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Ministry of Education), School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
Abstract  A new type of two-dimensional self-consistent fluid model that couples an equivalent circuit module is used to investigate the mode transition characteristics and hysteresis in hydrogen inductively coupled plasmas at different pressures, by varying the series capacitance of the matching box. The variations of the electron density, temperature, and the circuit electrical properties are presented. As cycling the matching capacitance, at high pressure both the discontinuity and hysteresis appear for the plasma parameters and the transferred impedances of both the inductive and capacitive discharge components, while at low pressure only the discontinuity is seen. The simulations predict that the sheath plays a determinative role on the presence of discontinuity and hysteresis at high pressure, by influencing the inductive coupling efficiency of applied power. Moreover, the values of the plasma transferred impedances at different pressures are compared, and the larger plasma inductance at low pressure due to less collision frequency, as analyzed, is the reason why the hysteresis is not seen at low pressure, even with a wider sheath. Besides, the behaviors of the coil voltage and current parameters during the mode transitions are investigated. They both increase (decrease) at the E to H (H to E) mode transition, indicating an improved (worsened) inductive power coupling efficiency.
Keywords:  inductively coupled plasmas      mode transition      hysteresis      fluid simulation  
Received:  30 April 2015      Revised:  31 July 2015      Accepted manuscript online: 
PACS:  52.25.-b (Plasma properties)  
  52.50.Qt (Plasma heating by radio-frequency fields; ICR, ICP, helicons)  
  52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))  
  52.65.Kj (Magnetohydrodynamic and fluid equation)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11175034, 11205025, 11305023, and 11075029).
Corresponding Authors:  Zhao Shu-Xia     E-mail:

Cite this article: 

Xu Hui-Jing (徐会静), Zhao Shu-Xia (赵书霞), Gao Fei (高飞), Zhang Yu-Ru (张钰如), Li Xue-Chun (李雪春), Wang You-Nian (王友年) Discontinuity of mode transition and hysteresis in hydrogen inductively coupled plasma via a fluid model 2015 Chin. Phys. B 24 115201

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