5 papers
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…
On the surface Bloch waves in truncated periodic media: scalar-wave primer
Bojan B. Guzina, Shixu Meng, Prasanna Salasiya +1
Much like their counterparts in homogenous elastic solids, waves in periodic media can be broadly classified into Floquet-Bloch body waves, and evanescent surface waves. Our goal i…
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…
Plug-and-play analytical paradigm for the scattering of plane waves by "layer-cake" periodic systems
Prasanna Salasiya, Shixu Meng, Bojan B. Guzina
We investigate the scattering of scalar plane waves in two dimensions by a heterogeneous layer that is periodic in the direction parallel to its boundary. On describing the layer a…
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…