μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks

B Thierry, X Antoine, C Chniti, H Alzubaidi - Computer Physics …, 2015 - Elsevier
The aim of this paper is to describe a Matlab toolbox, called μ-diff, for modeling and
numerically solving two-dimensional complex multiple scattering by a large collection of …

Active exterior cloaking for the two-dimensional Helmholtz equation with complex wavenumbers and application to thermal cloaking

M Cassier, T DeGiovanni… - … of the Royal …, 2022 - royalsocietypublishing.org
We design sources for the two-dimensional Helmholtz equation that can cloak an object by
cancelling out the incident field in a region, without the sources completely surrounding the …

The linear sampling method for data generated by small random scatterers

J Garnier, H Haddar, H Montanelli - SIAM Journal on Imaging Sciences, 2024 - SIAM
We present an extension of the linear sampling method for solving the sound-soft inverse
scattering problem in two dimensions with data generated by randomly distributed small …

On the justification of the Foldy--Lax approximation for the acoustic scattering by small rigid bodies of arbitrary shapes

DP Challa, M Sini - Multiscale Modeling & Simulation, 2014 - SIAM
We are concerned with the acoustic scattering problem by many small rigid obstacles of
arbitrary shapes. We give a sufficient condition on the number M and the diameter a of the …

Adaptive eigenspace method for inverse scattering problems in the frequency domain

MJ Grote, M Kray, U Nahum - Inverse Problems, 2017 - iopscience.iop.org
A nonlinear optimization method is proposed for the solution of inverse scattering problems
in the frequency domain, when the scattered field is governed by the Helmholtz equation …

A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods

M De Buhan, M Kray - Inverse Problems, 2013 - iopscience.iop.org
The aim of this paper is to propose a new method to solve the inverse scattering problem.
This method works directly in the time-dependent domain, using the wave equation and …

The linear sampling method for random sources

J Garnier, H Haddar, H Montanelli - SIAM Journal on Imaging Sciences, 2023 - SIAM
We present an extension of the linear sampling method for solving the sound-soft inverse
acoustic scattering problem with randomly distributed point sources. The theoretical …

Multiple scattering of light in ordered particulate media

VA Loiko, AA Miskevich - Springer Series in Light Scattering: Volume 1 …, 2018 - Springer
The methods to describe electromagnetic wave interaction with random and highly ordered
particulate media as applied to solve problems of optics, photonics, and optoelectronics are …

Localization of point scatterers via sparse optimization on measures

GS Alberti, R Petit, M Santacesaria - SIAM Journal on Imaging Sciences, 2024 - SIAM
We consider the inverse scattering problem for time-harmonic acoustic waves in a medium
with pointwise inhomogeneities. In the Foldy–Lax model, the estimation of the scatterers' …

The Foldy--Lax approximation for the full electromagnetic scattering by small conductive bodies of arbitrary shapes

A Bouzekri, M Sini - Multiscale Modeling & Simulation, 2019 - SIAM
We deal with the electromagnetic wave propagation in the harmonic regime. We derive the
Foldy--Lax approximation of the scattered fields generated by a cluster of small conductive …