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:
https://lup.lub.lu.se/record/143221
- author
- Sjöberg, Daniel
LU
- organization
- publishing date
- 1999
- 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
- 2016-04-01 11:46:41
- date last changed
- 2022-01-26 18:07:50
@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}},
doi = {{10.1088/0266-5611/15/2/006}},
volume = {{15}},
year = {{1999}},
}