4 papers
Analysis of a Conforming Finite Element Method for Second-Harmonic Generation Scattering
Ansh Desai, Peter Monk
In the frequency domain, nonlinear acoustic and electromagnetic wave propagation can, in certain regimes, be modeled by second-harmonic generation systems consisting of two coupled…
Target Signatures for Anisotropic Screens in Electromagnetic Scattering
Fioralba Cakoni, Peter Monk
Anisotropic thin sheets of materials possess intriguing properties because of their ability to modify the phase, amplitude and polarization of incident waves. Such sheets are usual…
A Neural Network Enhanced Born Approximation for Inverse Scattering
Ansh Desai, Jonathan Ma, Timo Lahivaara +1
Time-harmonic acoustic inverse scattering concerns the ill-posed and nonlinear problem of determining the refractive index of an inaccessible, penetrable scatterer based on far fie…
Determination of electromagnetic Bloch modes in a medium with frequency-dependent coefficients
C. Lackner, S. Meng, P. Monk
We provide a functional framework and a numerical algorithm to compute the Bloch variety for Maxwell's equations when the electric permittivity is frequency dependent. We incorpora…