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Generalized Telegraphist's Equations for Deformed Waveguides

 

作者: Laurens Weiss,   Wolfgang Mathis,  

 

期刊: Electromagnetics  (Taylor Available online 1998)
卷期: Volume 18, issue 4  

页码: 353-365

 

ISSN:0272-6343

 

年代: 1998

 

DOI:10.1080/02726349808908594

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Only in a few cases of special symmetries, an analytic solution of Maxwell's Equations together with appropriate boundary conditions can be found. Among other things, difficulties occur because Maxwell's Equations represent a set of coupled partial differential equations (PDEs). Therefore, methods have been developed to convert the PDEs with boundary conditions into a set of ordinary DEs. This simplification usually goes along with a loss of accuracy. In this paper, the prerequisites for the derivation of (stochastic) Generalized Telegraphist's Equations (GTEs) for (irregular) deformed waveguides are discussed. It turns out that a systematic approximative derivation of GTEs is only possible in rare cases. In any case, further knowledge about the fabricational cause of the surface imperfections is needed to fix the stochastic properties of the GTEs. The method's application to an irregular deformed helix is used as an illustrating example.

 

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