@Article{CiCP-11-629,
author = {Carlos Jerez-Hanckes and Jean-Claude Nédélec},
title = {Asymptotics for Helmholtz and Maxwell Solutions in 3-D Open Waveguides},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {2},
pages = {629--646},
abstract = {<p style="text-align: justify;">We extend classic&nbsp; Sommerfeld&nbsp; and&nbsp; Silver-Müller&nbsp; radiation&nbsp; conditions&nbsp; for bounded scatterers to acoustic and electromagnetic fields propagating over three isotropic homogeneous layers in three dimensions. If <strong>x</strong>=(x<sub>1</sub>,x<sub>2</sub>,x<sub>3</sub>)∈<strong>R</strong><sup>3</sup>, with x<sub>3</sub> denoting the direction orthogonal to the layers, standard conditions only hold for the outer layers in the region |x<sub>3</sub>|&gt;‖<strong>x</strong>‖<sup>r</sup>, for γ∈(1/4,1/2) and x large. For |x<sub>3</sub>|&lt;‖<strong>x</strong>‖<sup>r</sup>&nbsp;and inside the slab, asymptotic behavior depends on the presence of surface or guided modes given by the discrete spectrum of the associated operator.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.231209.150910s},
url = {http://global-sci.org/intro/article_detail/cicp/7382.html}
}