Advanced

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

Sjöberg, Daniel LU (1999) In Inverse Problems 15(2). p.44-431
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
Contribution to journal
publication status
published
subject
in
Inverse Problems
volume
15
issue
2
pages
44 - 431
publisher
IOP Publishing
external identifiers
  • scopus:0344771076
ISSN
0266-5611
DOI
10.1088/0266-5611/15/2/006
language
English
LU publication?
yes
id
56017697-ff4d-4ec2-b0d0-18ca66de8c3c (old id 143221)
date added to LUP
2007-07-11 09:13:26
date last changed
2017-01-01 04:32:00
@article{56017697-ff4d-4ec2-b0d0-18ca66de8c3c,
  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},
  issn         = {0266-5611},
  language     = {eng},
  number       = {2},
  pages        = {44--431},
  publisher    = {IOP Publishing},
  series       = {Inverse Problems},
  title        = {Reconstruction of nonlinear material properties for homogeneous, isotropic slabs using electromagnetic waves},
  url          = {http://dx.doi.org/10.1088/0266-5611/15/2/006},
  volume       = {15},
  year         = {1999},
}