Multiple Scattering

Mu-diff

Matlab toolbox to solve two dimensional acoustic multiple scattering by disks.

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

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 circular cylinders. The approximation methods in -diff are based on the …

A remark on the single scattering preconditioner applied to boundary integral equations

This article deals with boundary integral equation preconditioning for the multiple scattering problem. The focus is put on the single scattering preconditioner, corresponding to the diagonal part of the integral operator, for which two results are …

Spectral and Condition Number Estimates of the Acoustic Single-Layer Operator for Low-Frequency Multiple Scattering in Dilute Media

The aim of this paper is to develop an analysis of the distribution of the eigenvalues of the acoustic single-layer potential for various low frequency two-dimensional multiple scattering problems. The obstacles are supposed to be distant (dilute …

Spectral and Condition Number Estimates of the Acoustic Single-Layer Operator for Low-Frequency Multiple Scattering in Dense Media

The aim of this paper is to derive spectral and condition number estimates of the single-layer operator for low-frequency multiple scattering problems. This work extends to dense media the analysis initiated in Antoine and Thierry (in press) [19]. …

Wide Frequency Band Numerical Approaches for Multiple Scattering Problems by Disks

Efficient, robust and accurate algorithms are proposed for solving the multiple scattering problem by M circular obstacles for the whole spectrum of frequency. The representation of the solution is based on an integral equation formulation next …

Analysis and Numerical Simulations of Time Reversal and Multiple Scattering

This thesis contributes to the mathematical analysis and numerical simulation of some problems arising in multiple scattering. This document is divided into two parts. The first part deals with some inverse problems related to the detection and …

Numerical study of a spectral approach to solve integral equation formulation of the acoustic multiple scattering problem by disks

Far field modeling of electromagnetic time-reversal and application to selective focusing on small scatterers

A time harmonic far field model for closed electromagnetic time reversal mirrors is proposed. Then, a limit model corresponding to small perfectly conducting scatterers is derived. This asymptotic model is used to prove the selective focusing …