ABSTRACT This is a translation of a classic paper of Arnold Sommerfeld published in 1899. It provided the first rigorous theory of waves traveling on a resistive wire of finite radius. General solutions inside and outside the wire are written in terms of Bessel functions, and the boundary condition at the surface is well approximated by a transcendental equation. A detailed analysis of the equation reveals that surface waves are supported, which decay exponentially with the radial distance from the wire. The propagation velocity, less than c, and the longitudinal damping rate are related to the material properties of the wire. An historical overview of related work, on surface waves and open waveguides, is provided by the translator.

中文翻译：

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关于电动波沿电线的传播 A. Sommerfeld

摘要 这是对阿诺德·索末菲 (Arnold Sommerfeld) 于 1899 年发表的经典论文的翻译。它提供了波在有限半径电阻线上传播的第一个严格理论。线内外的一般解用贝塞尔函数写成，表面的边界条件用超越方程很好地近似。对该方程的详细分析表明，表面波得到支持，表面波随着距导线的径向距离呈指数衰减。小于 c 的传播速度和纵向阻尼率与线材的材料特性有关。翻译人员提供了有关表面波和开放波导的相关工作的历史概述。