|
This article is cited in 32 scientific papers (total in 32 papers)
METHODOLOGICAL NOTES
On the existence conditions for a fast surface wave
A. V. Kukushkina, A. A. Rukhadzeb, K. Z. Rukhadzeb a Nizhny Novgorod State Technical University
b A. M. Prokhorov General Physics Institute, Russian Academy of Sciences
Abstract:
Conditions are obtained for the existence of a fast-moving surface electromagnetic wave (with a speed close to the speed of light in the vacuum) on a flat interface between the vacuum and an isotropic dissipative medium with a permittivity $\varepsilon = \varepsilon' + \mathrm i\varepsilon''$. The interfaces considered include vacuum–seawater, vacuum–metal, vacuum–plasma, and vacuum–dielectric. Conditions for the existence of negligibly damped surface waves are considered for extremely high (vacuum–seawater, vacuum–metal) and very low (vacuum–plasma, vacuum–dielectric) $\varepsilon''$ values. It is shown that at least in these two limit cases, the phase wave velocity $V_{\mathrm p}$ and the group wave velocity $V_{\mathrm g}$ pass synchronously through the speed of light $c$ in the vacuum, which can be considered the reason why surface waves exist at the interface between vacuum and a collisionless plasma (with $\varepsilon' <-1$ and $V_{\mathrm {p,g}} < c$) and do not exist at the interface between the vacuum and a weakly absorbing dielectric (with $\varepsilon' >1$ and $V_{\mathrm {p, g}} >c$). In the first limit case, it is shown that both the phase and group velocities pass $c$ at $\varepsilon' =-3/4$, implying that a surface wave exists at the vacuum–metal interface (with $\varepsilon <-3/4$), but that a surface wave (Zenneck's wave) cannot exist at the vacuum–seawater interface (with $\varepsilon' > -3/4$).
Received: March 27, 2011 Revised: July 14, 2011 Accepted: October 12, 2011
Citation:
A. V. Kukushkin, A. A. Rukhadze, K. Z. Rukhadze, “On the existence conditions for a fast surface wave”, UFN, 182:11 (2012), 1205–1215; Phys. Usp., 55:11 (2012), 1124–1133
Linking options:
https://www.mathnet.ru/eng/ufn2506 https://www.mathnet.ru/eng/ufn/v182/i11/p1205
|
Statistics & downloads: |
Abstract page: | 354 | Full-text PDF : | 132 | References: | 56 | First page: | 1 |
|