21 citations · 57 across the 11 of their papers we have counts for
12 papers
On the construction of scattering matrices for irregular or elongated enclosures using Green's representation formula
Carlos Borges, Leslie Greengard, Michael O'Neil +1
Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing…
Reconstructing the shape and material parameters of dissipative obstacles using an impedance model
Travis Askham, Carlos Borges
In inverse scattering problems, a model that allows for the simultaneous recovery of both the domain shape and an impedance boundary condition covers a wide range of problems with…
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Travis Askham, Carlos Borges, Jeremy Hoskins +1
Inverse obstacle scattering is the recovery of an obstacle boundary from the scattering data produced by incident waves. This shape recovery can be done by iteratively solving a PD…
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem
Mo Zhou, Jiequn Han, Manas Rachh +1
We consider the inverse acoustic obstacle problem for sound-soft star-shaped obstacles in two dimensions wherein the boundary of the obstacle is determined from measurements of the…
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
Carlos Borges, Manas Rachh, Leslie Greengard
The acoustic inverse obstacle scattering problem consists of determining the shape of a domain from measurements of the scattered far field due to some set of incident fields (prob…
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
Carlos Borges, Manas Rachh
We consider the reconstruction of the shape and the impedance function of an obstacle from measurements of the scattered field at receivers outside the object. The data is assumed…