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

doi:10.1088/1674-1056/19/1/010302

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.

Keywords: resonant cavity nonperturbative solution dissipative medium finite conductivity

Received: 12 December 2008
Revised: 28 April 2009
Accepted manuscript online:

PACS:	03.50.De	(Classical electromagnetism, Maxwell equations)
	41.20.Jb	(Electromagnetic wave propagation; radiowave propagation)
	84.40.Az	(Waveguides, transmission lines, striplines)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10675174).

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Lin Qiong-Gui(林琼桂) Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls 2010 Chin. Phys. B 19 010302

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

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