JournalsjstVol. 11, No. 1pp. 1–38

Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media

  • Yernat M. Assylbekov

    Rice University, Houston, USA

  • Ting Zhou

    Northeastern University, Boston, USA
Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media cover
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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.

Cite this article

Yernat M. Assylbekov, Ting Zhou, Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media. J. Spectr. Theory 11 (2021), no. 1, pp. 1–38

DOI 10.4171/JST/334