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A homogenization procedure for microstructured resistive sheets

Sjöberg, Daniel LU orcid ; Wellander, Niklas LU and Ericsson, Andreas LU (2014) XXXIth URSI General Assembly and Scientific Symposium (URSI GASS) p.1-4
Abstract
A thin resistive sheet is described by its sheet conductance, and the electric and magnetic dipole moments per unit area. All three properties can be controlled by the material parameters and geometry of the sheet, for instance by making a periodic pattern of holes in it. A mathematical analysis of the low frequency limit of Maxwell's equations in a periodic setting generates a hierarchy of local problems which can be used to compute the conductance and electric and magnetic polarizability per unit area of the microstructured sheet. We present results from a numerical implementation of these local problems, and discuss the region of validity for the asymptotic solution.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
[Host publication title missing]
pages
4 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
XXXIth URSI General Assembly and Scientific Symposium (URSI GASS)
conference dates
2014-08-16 - 2014-08-23
external identifiers
  • scopus:84919754903
DOI
10.1109/URSIGASS.2014.6929096
language
English
LU publication?
yes
id
d140e075-54c4-4eaa-b9bd-13ffa9e32925 (old id 4905018)
date added to LUP
2016-04-04 11:40:39
date last changed
2022-01-29 22:14:55
@inproceedings{d140e075-54c4-4eaa-b9bd-13ffa9e32925,
  abstract     = {{A thin resistive sheet is described by its sheet conductance, and the electric and magnetic dipole moments per unit area. All three properties can be controlled by the material parameters and geometry of the sheet, for instance by making a periodic pattern of holes in it. A mathematical analysis of the low frequency limit of Maxwell's equations in a periodic setting generates a hierarchy of local problems which can be used to compute the conductance and electric and magnetic polarizability per unit area of the microstructured sheet. We present results from a numerical implementation of these local problems, and discuss the region of validity for the asymptotic solution.}},
  author       = {{Sjöberg, Daniel and Wellander, Niklas and Ericsson, Andreas}},
  booktitle    = {{[Host publication title missing]}},
  language     = {{eng}},
  pages        = {{1--4}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{A homogenization procedure for microstructured resistive sheets}},
  url          = {{http://dx.doi.org/10.1109/URSIGASS.2014.6929096}},
  doi          = {{10.1109/URSIGASS.2014.6929096}},
  year         = {{2014}},
}