Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media
Analysis of PDEs
2020-09-15 v2
Abstract
In the current paper we consider an inverse boundary value problem of electromagnetism in a nonlinear Kerr medium. We show the unique determination of the electromagnetic material parameters and the nonlinear susceptibility parameters of the medium by making electromagnetic measurements on the boundary. We are interested in the case of the time-harmonic Maxwell equations.
Keywords
Cite
@article{arxiv.1709.07767,
title = {Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media},
author = {Yernat M. Assylbekov and Ting Zhou},
journal= {arXiv preprint arXiv:1709.07767},
year = {2020}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1612.03498