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应用科学学报 ›› 1992, Vol. 10 ›› Issue (2): 113-120.

• 论文 • 上一篇    下一篇

充等离子体金属腔谐振特性的变分解

刘凯, 章文勋, 应济民   

  1. 东南大学
  • 收稿日期:1990-11-05 修回日期:1991-04-19 出版日期:1992-06-30 发布日期:1992-06-30
  • 基金资助:
    国家自然科学基金会的资助

VARIATIONAL SOLUTION OF RESONANT CAVITY FILLING ANISOTROPIC PLASMA

LIU KAI, ZHANG WENXUN, YING JIMIN   

  1. Southeast University
  • Received:1990-11-05 Revised:1991-04-19 Online:1992-06-30 Published:1992-06-30

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摘要： 从麦克斯韦方程组出发,推导了求解电磁场参量的普适变分方程,其特点是对试探函数没有边界条件的限制,便于求解非规则形状各向异性材料的电磁场边值问题,文中应用Rayleigh-Ritz法求解充等离子体金属腔的谐振特性,对矩形金属腔分析的结果与文献[3]矩量法分析结果吻合得较好;还给出了圆柱形谐振腔中准TE111和准TM011模式的谐振频率和品质因数随等离子体参数变化的曲线簇,它们在工业应用中具有重要的参考价值.

关键词: 各向异性媒质, 等离子体, 变分原理, 谐振腔, 瑞利-里兹法

Abstract: In this paper, a universal variational equation for solving electromagnetic boundary problems is deduced from Maxwell's equations. It has the advantage that the trial functions are not restricted by the boundary condition. So it is especially useful in solving problems of anisotropio medium of irregular geometry. The resonant characteristics of plasma-filled cavities are analysed by using the Rayleigh-Ritz method. The numerical results in the case of rectangular cavity are in agreement with those from reference[3]. Besides, the resonant frequencies and Q values of quasi-TEm and quasi-TM011 modes are calculated as the functions of plasma parameters, which are of value in the industrial applications of plasmas.

Key words: variational principle, anisotropio medium, plasma, resonant cavity, Rayleigh-Ritz method