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

Sjöberg, Daniel LU (1998) In Technical Report LUTEDX/(TEAT-7070)/1-16/(1998) TEAT-7070.
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.
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organization
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type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7070)/1-16/(1998)
volume
TEAT-7070
pages
16 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
e2d4325b-0666-4a33-aee4-b60a6c28313a (old id 530464)
date added to LUP
2007-09-12 12:00:41
date last changed
2016-08-03 16:02:11
@misc{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},
  language     = {eng},
  pages        = {16},
  publisher    = {ARRAY(0xaee5568)},
  series       = {Technical Report LUTEDX/(TEAT-7070)/1-16/(1998)},
  title        = {Reconstruction of nonlinear material properties for homogeneous, isotropic slabs using electromagnetic waves},
  volume       = {TEAT-7070},
  year         = {1998},
}