中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10302-010302.doi: 10.1088/1674-1056/19/1/010302

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Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls

林琼桂   

  1. School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China
  • 收稿日期:2008-12-12 修回日期:2009-04-28 出版日期:2010-01-15 发布日期:2010-01-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10675174).

Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls

Lin Qiong-Gui(林琼桂)†   

  1. School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China
  • Received:2008-12-12 Revised:2009-04-28 Online:2010-01-15 Published:2010-01-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10675174).

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摘要： Cylindrical waveguides without end surfaces can serve as two-dimensional resonant cavities. In such cavities the electromagnetic oscillations corresponding to an eigenfrequency can always be taken as TM or TE modes even when the walls have a finite conductivity and the medium is absorptive. This paper obtains analytic solutions to the field equations when the cylinder has a circular cross section. Some nonperturbative conclusions are drawn from the eigenvalue equation. Approximate analytic results for the resonant frequencies are obtained when the absorption of the medium is small and the walls are good conductors. Stability of the eigen modes is discussed. Similar results for the coaxial line are presented.

Abstract: Cylindrical waveguides without end surfaces can serve as two-dimensional resonant cavities. In such cavities the electromagnetic oscillations corresponding to an eigenfrequency can always be taken as TM or TE modes even when the walls have a finite conductivity and the medium is absorptive. This paper obtains analytic solutions to the field equations when the cylinder has a circular cross section. Some nonperturbative conclusions are drawn from the eigenvalue equation. Approximate analytic results for the resonant frequencies are obtained when the absorption of the medium is small and the walls are good conductors. Stability of the eigen modes is discussed. Similar results for the coaxial line are presented.

Key words: resonant cavity, nonperturbative solution, dissipative medium, finite conductivity

中图分类号:  (Classical electromagnetism, Maxwell equations)

  • 03.50.De
41.20.Jb (Electromagnetic wave propagation; radiowave propagation) 84.40.Az (Waveguides, transmission lines, striplines)