| Issue |
ESAIM: M2AN
Volume 53, Number 1, January–February 2019
|
|
|---|---|---|
| Page(s) | 325 - 350 | |
| DOI | https://doi.org/10.1051/m2an/2018055 | |
| Published online | 15 April 2019 | |
The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition
1
Applied Geology, School of Earth and Planetary Sciences, Curtin University, Kent Street, Bentley, 6102 Perth, Australia
2
Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Casilla, 4059 Valparaíso, Chile
3
Institute for Mathematical and Computational Engineering, School of Engineering, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Macul, 7820436 Santiago, Chile
* Corresponding author: srojash@gmail.com
Received:
18
March
2018
Accepted:
18
September
2018
We show existence and uniqueness of the outgoing solution for the Maxwell problem with an impedance boundary condition of Leontovitch type in a half-space. Due to the presence of surface waves guided by an infinite surface, the established radiation condition differs from the classical one when approaching the boundary of the half-space. This specific radiation pattern is derived from an accurate asymptotic analysis of the Green’s dyad associated to this problem.
Mathematics Subject Classification: 35J08 / 35Q6 / 35P25 / 74J15 / 74J20
Key words: Maxwell equations / half-space / surface waves / radiation condition
© EDP Sciences, SMAI 2019
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