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.
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.
| Original language | English |
|---|---|
| Publisher | [Publisher information missing] |
| Number of pages | 16 |
| Volume | TEAT-7070 |
| Publication status | Published - 1998 |
Publication series
| Name | Technical Report LUTEDX/(TEAT-7070)/1-16/(1998) |
|---|---|
| Volume | TEAT-7070 |
Bibliographical note
Published version: Inverse Problems, Vol. 15, No. 2, pp. 431-44, 1999.Subject classification (UKÄ)
- Electrical Engineering, Electronic Engineering, Information Engineering
- Other Electrical Engineering, Electronic Engineering, Information Engineering