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.
Accepté le :
DOI : 10.1051/m2an/2018055
Mots-clés : Maxwell equations, half-space, surface waves, radiation condition
@article{M2AN_2019__53_1_325_0,
author = {Rojas, Sergio and Muga, Ignacio and Jerez-Hanckes, Carlos},
title = {The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {325--350},
publisher = {EDP-Sciences},
volume = {53},
number = {1},
year = {2019},
doi = {10.1051/m2an/2018055},
zbl = {1422.35019},
mrnumber = {3938845},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2018055/}
}
TY - JOUR AU - Rojas, Sergio AU - Muga, Ignacio AU - Jerez-Hanckes, Carlos TI - The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2019 SP - 325 EP - 350 VL - 53 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2018055/ DO - 10.1051/m2an/2018055 LA - en ID - M2AN_2019__53_1_325_0 ER -
%0 Journal Article %A Rojas, Sergio %A Muga, Ignacio %A Jerez-Hanckes, Carlos %T The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2019 %P 325-350 %V 53 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2018055/ %R 10.1051/m2an/2018055 %G en %F M2AN_2019__53_1_325_0
Rojas, Sergio; Muga, Ignacio; Jerez-Hanckes, Carlos. The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 53 (2019) no. 1, pp. 325-350. doi : 10.1051/m2an/2018055. http://www.numdam.org/articles/10.1051/m2an/2018055/
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