基于潘宁源的氢等离子体全局模型数值模拟分析

Numerical simulation analysis of global model of hydrogen plasma based on Panning source

  • 摘要: 潘宁离子源因其结构简单、体积紧凑及功耗低等优点,被广泛应用于小型加速器中。本研究以 \textH_2 分子的碰撞电离过程为研究对象,建立了潘宁离子源的全局物理模型,系统研究了工作气压(6×104~8×102 Pa)、输入功率(1~10 W)、磁场强度(0.005~1 T)三个关键参数对等离子体电子密度及 \textH^+ 、 \textH_2^+ 、 \textH_3^+ 离子比例的影响。在磁场0.5 T、功率5 W下,气压由6×104 Pa增至8×102 Pa时, \textH_2^+ 占比由约85%降至5%以下, \textH_3^+ 占比由约8%升至90%以上, \textH^+ 占比始终低于7%;在功率5 W,气压0.1 Pa下,磁场由0.005 T增至1 T, \textH^+ 占比由约3.5%升至约10.7%。通过与文献中PIC/MCC仿真和实验诊断结果比对,验证了本模型在上述参数范围内的预测可靠性,为后续潘宁离子源的优化设计提供了理论参考。

     

    Abstract:
    Background Penning ion sources are widely employed in small-scale accelerators owing to their structural simplicity, compact geometry, and low power consumption, yet the quantitative dependence of their discharge characteristics and hydrogen ion species distribution on operating parameters remains insufficiently understood.
    Purpose The present work systematically investigates the influence of operating parameters—working gas pressure, power, and magnetic field strength—on the plasma electron density and on the relative fractions of \textH^+ , \textH_2^+ , and \textH_3^+ ions.
    Methods Taking the collisional ionization of \textH_2^ molecules as the object of investigation, a global physical model of the Penning ion source was established that incorporates the principal electron-impact ionization, dissociation, and ion–molecule reactions occurring in the discharge. The working gas pressure was scanned from 6×104 Pa to 8×102 Pa, the input power from 1 W to 10 W, and the magnetic field strength from 0.005 T to 1 T, and the predictive reliability of the model was further validated by comparison with PIC/MCC simulations and diagnostic measurements reported in the literature.
    Results At a magnetic field of 0.5 T and an input power of 5 W, as the gas pressure increased from 6×104 Pa to 8×102 Pa, the \textH_2^+ fraction decreased from approximately 85% to below 5%, while the \textH_3^+ fraction rose from about 8% to over 90%, and the \textH^+ fraction remained below 7% throughout. At 5 W and 0.1 Pa, increasing the magnetic field from 0.005 T to 1 T raised the \textH^+ fraction from approximately 3.5% to about 10.7%, and the calculated trends agreed well with the reference simulations and measurements.
    Conclusions These results indicate that the proposed global model reliably reproduces the variation of plasma electron density and hydrogen ion species fractions with pressure, power, and magnetic field, which providing a useful theoretical reference for the optimization and design of Penning ion sources.

     

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