English

Inverse problems for nonlinear Maxwell's equations with second harmonic generation

Analysis of PDEs 2020-09-10 v2

Abstract

In the current paper we consider an inverse boundary value problem of electromagnetism with nonlinear Second Harmonic Generation (SHG) process. We show the unique determination of the electromagnetic material parameters and the SHG susceptibility parameter of the medium by making electromagnetic measurements on the boundary. We are interested in the case when a frequency is fixed.

Keywords

Cite

@article{arxiv.2009.03467,
  title  = {Inverse problems for nonlinear Maxwell's equations with second harmonic generation},
  author = {Yernat Assylbekov and Ting Zhou},
  journal= {arXiv preprint arXiv:2009.03467},
  year   = {2020}
}

Comments

19 pages

R2 v1 2026-06-23T18:22:45.106Z