Volume 53, Number 1, January–February 2019
|Page(s)||325 - 350|
|Published online||15 April 2019|
The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition
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: email@example.com
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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