| Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls |
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| 作者姓名： | 林琼桂 |
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| 作者单位： | School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China |
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| 基金项目： | 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.
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| 关 键 词： | resonant cavity nonperturbative solution dissipative medium finite conductivity |
| 收稿时间： | 2008-12-12 |
Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls |
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| Lin Qiong-Gui.Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls[J].Chinese Physics B,2010,19(1):10302-010302. |
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| Authors: | Lin Qiong-Gui |
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| Affiliation: | School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China |
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| 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. |
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| Keywords: | resonant cavity nonperturbative solution dissipative
medium finite conductivity |
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