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math.NA2026
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…
math.NA2025
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…