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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:296

Article

Assylbekov, Yernat M.¹  Zhou, Ting² 

[1] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

[2] Northeastern Univ, Dept Math, Boston, MA 02115 USA

关键词: Inverse problems;    Nonlinear Maxwell's equations;    Second harmonic generation;    Nonlinear optics;   

DOI  :  10.1016/j.jde.2021.06.002

来源: Elsevier

【 摘 要 】

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. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free