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

Summary, in English

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.

• Author: Daniel Sjöberg
• Department/s: Department of Electrical and Information Technology
• Publishing year: 1999
• Language: English
• Pages: 44-431
• Publication/Series: Inverse Problems
• Volume: 15
• Issue: 2
• Links: http://dx.doi.org/10.1088/0266-5611/15/2/006
• Document type: Journal article
• Publisher: IOP Publishing
• Topic: Electrical Engineering, Electronic Engineering, Information Engineering; Other Electrical Engineering, Electronic Engineering, Information Engineering
• Status: Published
• Research group: Electromagnetic theory
• ISBN/ISSN/Other: ISSN: 0266-5611