Reconstruction of nonlinear material properties for homogeneous, isotropic slabs using electromagnetic waves
(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:
https://lup.lub.lu.se/record/530464
- author
- Sjöberg, Daniel LU
- organization
- publishing date
- 1998
- 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}}, }