Wide Frequency Band Numerical Approaches for Multiple Scattering Problems by Disks

被引：11
作者：
Antoine, Xavier [1 ]
Ramdani, Karim
Thierry, Bertrand
机构：
[1] Univ Henri Poincare, Inst Elie Cartan Nancy, Nancy Univ, CNRS,INRIA, BP 239, F-54506 Vandoeuvre Les Nancy, France
来源：
JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY | 2012年 / 6卷 / 02期
关键词：
Multiple scattering; circular cylinders; wide frequency band; fast and accurate algorithms; preconditioning;
D O I：
10.1260/1748-3018.6.2.241
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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 solved by using Fourier basis. Numerical examples are provided to show that the approaches are efficient.
引用
收藏
页码：241 / 259
页数：19
相关论文
共 21 条
  • [1] Abramowitz M., 1964, NBS APPL MATH SERIES, V55
  • [2] [Anonymous], 2010, PROGR COMPUTATIONAL
  • [3] On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders
    Antoine, Xavier
    Chniti, Chokri
    Ramdani, Karim
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (03) : 1754 - 1771
  • [4] Plasmon-based nanolenses assembled on a well-defined DNA template
    Bidault, Sebastien
    de Abajo, F. Javier Garcia
    Polman, Albert
    [J]. JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 2008, 130 (09) : 2750 - +
  • [5] COLTON D, 1998, APPL MATH SCI, V93
  • [6] Spectral analysis of three-dimensional photonic jets
    Devilez, Alexis
    Stout, Brian
    Bonod, Nicolas
    Popov, Evgeny
    [J]. OPTICS EXPRESS, 2008, 16 (18): : 14200 - 14212
  • [7] Three-dimensional subwavelength confinement of light with dielectric microspheres
    Devilez, Alexis
    Bonod, Nicolas
    Wenger, Jerome
    Gerard, Davy
    Stout, Brian
    Rigneault, Herve
    Popov, Evgeny
    [J]. OPTICS EXPRESS, 2009, 17 (04): : 2089 - 2094
  • [8] Ding K. H., 2001, WILEY SERIES REMOTE
  • [9] Modeling the permittivity of two-phase media containing monodisperse spheres: Effects of microstructure and multiple scattering
    Doyle, Timothy E.
    Robinson, David A.
    Jones, Scott B.
    Warnick, Keith H.
    Carruth, Brent L.
    [J]. PHYSICAL REVIEW B, 2007, 76 (05)
  • [10] Simulation of elastic wave scattering in cells and tissues at the microscopic level
    Doyle, Timothy E.
    Tew, Adam T.
    Warnick, Keith H.
    Carruth, Brent L.
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2009, 125 (03) : 1751 - 1767
123