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math.NA2026
Inverse scattering beyond Born approximation via rotation-equivariance-aware neural network and low-rank structure
Yuyuan Zhou, Shixu Meng
This work proposes a hybrid method (ULR) which integrates a rotation-equivariance-aware neural network and a low-rank structure to solve the two dimensional inverse medium scatteri…
math.NA2025
On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via inverse Born series
Fioralba Cakoni, Shixu Meng, Zehui Zhou
In this work, we construct the Born and inverse Born approximation and series to recover two function-valued coefficients in the Helmholtz equation for inverse scattering problems…
math.NA2018
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…