Propagation of electromagnetic waves inside a cylindrical metal tube and along other types of guides

Electrical Engineering

Hsu, Chang-Pen ; Unknown, Unknown

University:California Institute of Technology

Department:Engineering and Applied Science

关键词: Electrical Engineering;   

Others  :  https://thesis.library.caltech.edu/7335/1/Hsu_c-h_1940.pdf

美国|英语

来源: Caltech THESIS

【 摘 要 】

The prime purpose of this paper is to base the discussion ofthe properties of propagation of electromagnetic waves inside ametal tube upon the theory of complex functions. The generalexpressions for the field components for different types of excitationsystems are obtained in a rigorous manner starting from thatof an electric and a magnetic dipole. The formal mathematicalgeneralization is achieved by means of the transformation formulaeof cylindrical functions and the results of the theory of integralequations. The integral equations thus obtained are expanded intoseries by aid of residual calculus for actual numerical calculation.

The residues at the poles of singularities give rise to different"distinct modes" of propagation and thereby a comprehensive discussionof all the important physical properties is made. At the same time,problems arising in practical applications, say for long distancetransmission for television purposes, are analyzed and some interestingconclusions obtained. The unique and rigorous analysis is onlymade possible by the free use of the results of the theory ofcomplex functions.

A comparison of the properties of propagation with regardespecially to the attenuations and the velocities of propagationinside a hollow cylindrical metal tube guide and that of aconcentric system is made. It is hoped that the conclusionsobtained therefrom will throw some light on the merits of bothsystems and will point out those things which require carefulconsideration in practical design.