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Exact and asymptotic dispersion relations for homogenization of stratified media with two phases

Sjöberg, Daniel LU orcid (2005) In Technical Report LUTEDX/(TEAT-7133)/1-11/(2005)
Abstract
Using exact dispersion relations for electromagnetic wave propagation in layered,

periodic media, consisting of two phases, we derive explicit asymptotic

solutions for small wavenumbers. These solutions are compared to the numerical

solutions of the exact dispersion relations, and applications to homogenization

problems are discussed. The results can be used as test cases

for homogenization techniques intended for finite scale homogenization, that

is, where the wavelength is not assumed infinitely large compared to the microscale.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7133)/1-11/(2005)
pages
11 pages
publisher
[Publisher information missing]
report number
TEAT-7133
language
English
LU publication?
yes
additional info
Published version: Journal of Electromagnetic Waves and Applications, Vol. 20, No. 6, pp. 781-792, 2006.
id
c6dbd2f9-a438-4cd3-a2da-188bff84b0bc (old id 530155)
date added to LUP
2016-04-04 14:37:34
date last changed
2018-11-21 21:21:22
@techreport{c6dbd2f9-a438-4cd3-a2da-188bff84b0bc,
  abstract     = {{Using exact dispersion relations for electromagnetic wave propagation in layered,<br/><br>
periodic media, consisting of two phases, we derive explicit asymptotic<br/><br>
solutions for small wavenumbers. These solutions are compared to the numerical<br/><br>
solutions of the exact dispersion relations, and applications to homogenization<br/><br>
problems are discussed. The results can be used as test cases<br/><br>
for homogenization techniques intended for finite scale homogenization, that<br/><br>
is, where the wavelength is not assumed infinitely large compared to the microscale.}},
  author       = {{Sjöberg, Daniel}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7133}},
  series       = {{Technical Report LUTEDX/(TEAT-7133)/1-11/(2005)}},
  title        = {{Exact and asymptotic dispersion relations for homogenization of stratified media with two phases}},
  url          = {{https://lup.lub.lu.se/search/files/6403717/1545019.pdf}},
  year         = {{2005}},
}