Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media
Yernat M. Assylbekov, Ting Zhou
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.
Topics & Concepts
Maxwell's equationsElectromagnetismNonlinear systemPhysicsInverseBoundary value problemNonlinear mediumMathematical analysisHarmonicElectromagnetic fieldInverse problemClassical mechanicsNonlinear opticsMathematicsQuantum mechanicsGeometryNumerical methods in inverse problemsThermoelastic and Magnetoelastic PhenomenaUltrasonics and Acoustic Wave Propagation