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:

 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:
 AC0276SF00515; AC0376SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Electromagnetics
 Additional Journal Information:
 Journal Volume: 39; Journal Issue: 5; Journal ID: ISSN 02726343
 Publisher:
 Taylor & Francis
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; Surface waves; SommerfeldGoubau; 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. https://doi.org/10.1080/02726343.2019.1619235.
Warnock, Robert. On the propagation of electrodynamic waves along a wire by A. Sommerfeld. United States. https://doi.org/10.1080/02726343.2019.1619235
Warnock, Robert. Wed .
"On the propagation of electrodynamic waves along a wire by A. Sommerfeld". United States. https://doi.org/10.1080/02726343.2019.1619235. https://www.osti.gov/servlets/purl/1547380.
@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}
}
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