@Article{CiCP-16-213,
author = {},
title = {Thin Layer Models for Electromagnetism},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {1},
pages = {213--238},
abstract = {<p style="text-align: justify;">We present a review on the accuracy of asymptotic models for the scattering
problem of electromagnetic waves in domains with thin layer. These models appear
as first order approximations of the electromagnetic field. They are obtained thanks to
a multiscale expansion of the exact solution with respect to the thickness of the thin
layer, that makes possible to replace the thin layer by approximate conditions. We
present the advantages and the drawbacks of several approximations together with
numerical validations and simulations. The main motivation of this work concerns the
computation of electromagnetic field in biological cells. The main difficulty to compute
the local electric field lies in the thinness of the membrane and in the high contrast
between the electrical conductivities of the cytoplasm and of the membrane, which
provides a specific behavior of the electromagnetic field at low frequencies.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.120813.100114a},
url = {http://global-sci.org/intro/article_detail/cicp/7040.html}
}