| Full text | |
| Author(s): |
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 |
| Abstract | |
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 Opportunities: | Scholarships abroad - Research |