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Reconstruction of nonlinear material properties for homogeneous, isotropic slabs using electromagnetic waves

Sjöberg, Daniel LU orcid (1998) In Technical Report LUTEDX/(TEAT-7070)/1-16/(1998)
Abstract
This paper addresses the inverse problem of reconstructing a medium’s instantaneous,

nonlinear response to electromagnetic excitation. Using reflection

and transmission data for an almost arbitrary incident field on a homogeneous

slab, we are able to obtain the nonlinear constitutive relations for

both electric and magnetic fields, with virtually no assumptions made on the

specific form of the relations. It is shown that for a nonmagnetic material,

reflection data suffices to obtain the electrical nonlinear response. We also

show that the algorithms are well posed. Numerical examples illustrate the

analysis presented in this paper.
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-7070)/1-16/(1998)
pages
16 pages
publisher
[Publisher information missing]
report number
TEAT-7070
language
English
LU publication?
yes
additional info
Published version: Inverse Problems, Vol. 15, No. 2, pp. 431-44, 1999.
id
e2d4325b-0666-4a33-aee4-b60a6c28313a (old id 530464)
date added to LUP
2016-04-04 13:51:47
date last changed
2018-11-21 21:16:48
@techreport{e2d4325b-0666-4a33-aee4-b60a6c28313a,
  abstract     = {{This paper addresses the inverse problem of reconstructing a medium’s instantaneous,<br/><br>
nonlinear response to electromagnetic excitation. Using reflection<br/><br>
and transmission data for an almost arbitrary incident field on a homogeneous<br/><br>
slab, we are able to obtain the nonlinear constitutive relations for<br/><br>
both electric and magnetic fields, with virtually no assumptions made on the<br/><br>
specific form of the relations. It is shown that for a nonmagnetic material,<br/><br>
reflection data suffices to obtain the electrical nonlinear response. We also<br/><br>
show that the algorithms are well posed. Numerical examples illustrate the<br/><br>
analysis presented in this paper.}},
  author       = {{Sjöberg, Daniel}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7070}},
  series       = {{Technical Report LUTEDX/(TEAT-7070)/1-16/(1998)}},
  title        = {{Reconstruction of nonlinear material properties for homogeneous, isotropic slabs using electromagnetic waves}},
  url          = {{https://lup.lub.lu.se/search/files/6222995/624908.pdf}},
  year         = {{1998}},
}