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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Mendonca, J. Ricardo G.
Total Authors: 1
Document type: Journal article
Source: American Journal of Physics; v. 87, n. 6, p. 476-484, JUN 2019.
Web of Science Citations: 1

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. (AU)

FAPESP's process: 17/22166-9 - Records, range, and longest increasing subsequences of random walks
Grantee:José Ricardo Gonçalves de Mendonça
Support type: Scholarships abroad - Research