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

2020/09/08 by Yernat M. Assylbekov, Ting Zhou, Assylbekov, Yernat +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.2009.03467

openalex publication_date 2020/09/08 · openalex created_date 2020/09/14 · openalex updated_date 2026/07/28

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.

Citations

• A Global Uniqueness Theorem for an Inverse Boundary Value Problem
• Inverse problems for Lorentzian manifolds and non-linear hyperbolic\n equations

Cited by

• The DC Kerr Effect in Nonlinear Optics

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