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

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作   者：

Thierry, Bertrand;  Antoine, Xavier;  Chniti, Chokri;  Alzubaidi, Hasan; 

作者机构：

Dept Math;  Univ Lorraine;  Univ Coll Qunfudah;  Mecca;  Saudi Arabia;  France;  F-54506 Vandoeuvre Les Nancy;  Paris;  UMR 7502;  Inst Elie Cartan Lorraine;  Umm Al Qura Univ;  Univ Paris 06;  Lab JL Lions LJLL; 

关键词：

Computational methods;  Spectral method;  Wave propagation;  Electromagnetism;  Optics;  Numerical simulation;  Acoustics;  Multiple scattering; 

期刊名称：

Computer physics communications

i s s n：

0010-4655

年卷期：

2015 年 192 卷

页   码：

348-362

页   码：

摘   要：

The aim of this paper is to describe a Matlab toolbox, called mu-diff, for modeling and numerically solving two-dimensional complex multiple scattering by a large collection of circular cylinders. The approximation methods in mu-diff are based on the Fourier series expansions of the four basic integral operators arising in scattering theory. Based on these expressions, an efficient spectrally accurate finite-dimensional solution of multiple scattering problems can be simply obtained for complex media even when many scatterers are considered as well as large frequencies. The solution of the global linear system to solve can use either direct solvers or preconditioned iterative Krylov subspace solvers for block Toeplitz matrices. Based on this approach, this paper explains how the code is built and organized. Some complete numerical examples of applications (direct and inverse scattering) are provided to show that mu-diff is a flexible, efficient and robust toolbox for solving some complex multiple scattering problems.