Electromagnetic surface wave propagation in a metallic wire and the Lambert W function

被引：4
|
作者：
Mendonca, J. Ricardo G. [1 ,2 ]
机构：
[1] Univ Paris Saclay, Univ Paris Sud, CNRS, LPTMS,UMR 8626, F-91405 Orsay, France
[2] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, Rua Arlindo Bettio 1000, BR-03828000 Sao Paulo, SP, Brazil
来源：
AMERICAN JOURNAL OF PHYSICS | 2019年 / 87卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
REAL VALUES; FUNDAMENTAL EXPERIMENTS; GUIDES; APPROXIMATIONS; TRANSMISSION;
D O I：
10.1119/1.5100943
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
We revisit the solution due to Sommerfeld of a problem in classical electrodynamics, that of the propagation of an electromagnetic axially symmetric surface wave (a low-attenuation single TM01 mode) in a cylindrical metallic wire, and his iterative method to solve the transcendental equation that appears in the determination of the propagation wave number from the boundary conditions. We present an elementary analysis of the convergence of Sommerfeld's iterative solution of the approximate problem and compare it with both the numerical solution of the exact transcendental equation and the solution of the approximate problem by means of the Lambert W function.
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页码：476 / 484
页数：9
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