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Title: On the propagation of electrodynamic waves along a wire by A. Sommerfeld

Abstract

This is a translation of a classic paper of Arnold Sommerfeld published in 1899. It reflected 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 demonstrates 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 given by the translator.

Authors:
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of New Mexico, Albuquerque, NM (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1547380
Grant/Contract Number:  
AC02-76SF00515; AC03-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Electromagnetics
Additional Journal Information:
Journal Volume: 39; Journal Issue: 5; Journal ID: ISSN 0272-6343
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Surface waves; Sommerfeld-Goubau; wire waves; open waveguide

Citation Formats

Warnock, Robert. On the propagation of electrodynamic waves along a wire by A. Sommerfeld. United States: N. p., 2019. Web. doi:10.1080/02726343.2019.1619235.
Warnock, Robert. On the propagation of electrodynamic waves along a wire by A. Sommerfeld. United States. doi:10.1080/02726343.2019.1619235.
Warnock, Robert. Wed . "On the propagation of electrodynamic waves along a wire by A. Sommerfeld". United States. doi:10.1080/02726343.2019.1619235.
@article{osti_1547380,
title = {On the propagation of electrodynamic waves along a wire by A. Sommerfeld},
author = {Warnock, Robert},
abstractNote = {This is a translation of a classic paper of Arnold Sommerfeld published in 1899. It reflected 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 demonstrates 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 given by the translator.},
doi = {10.1080/02726343.2019.1619235},
journal = {Electromagnetics},
number = 5,
volume = 39,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
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Works referenced in this record:

Über elektromagnetische Drahtwellen
journal, January 1909


The Theory of Anomalous Diffraction Gratings and of Quasi-Stationary Waves on Metallic Surfaces (Sommerfeld’s Waves)
journal, January 1941


Surface Waves and Their Application to Transmission Lines
journal, November 1950


Elektromagnetische Wellen an dielektrischen Drähten
journal, January 1910


Metal wires for terahertz wave guiding
journal, November 2004


Über die Ausbreitung der Wellen in der drahtlosen Telegraphie
journal, January 1909


Elektromagnetische Wellen an einem Draht mit isolierender zylindrischer Hülle
journal, January 1907