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: firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.