杨树伟;王连堂;巩星田;

• 1:西北大学数学系
• 2:湘潭大学数学系

摘要(Abstract)：

对于双连通区域上的电磁波散射问题,通过位势理论将其转化为边界积分方程组问题,然后采用Nystrm法和配置法对其离散求解,针对不同形状的障碍散射体,给出远场模式的数值解.

关键词(KeyWords)： Helmholtz方程;Conductive边界条件;Impedance边界条件;Nystrm法

Abstract:

Keywords:

基金项目(Foundation):

作者(Authors): 杨树伟;王连堂;巩星田;

参考文献(References)：

• [1]Akduman I,Kress R.Direct and inverse scattering problems for inhomogeneous impedance cylinders ofarbitrary shape[J].Radio Science,2003,38(3):1055-1064.
• [2]Yaman F.Numerical solution of an inverse conductive boundary value problem[J].Radio Science,2008,43(6):1055-1064.
• [3]Kress R.On the numerical solution of a hypersingular integral equation in scattering theory[J].Computationaland applied mathematics,1995,61(3):345-360.
• [4]Colton D,Kress R.Inverse Acoustic and Electromagnetic Scattering Theory[M].Berlin:Spring-Verlag,1992.
• [5]Colton D,Kress R.Integral Equation Methods in Scattering Theory[M].New York:Wiley-Interscience Publi-cation,1983.
• [6]Kress R,Yaman F,Yaparb A,et al.Inverse scattering for an impedance cylinder buried in a dielectriccylinder[J].Inverse Problems in Science and Engineering,2009,17(4):473-488.
• [7]Yaman F.Location and shape reconstructions of sound-soft obstacles buried in penetrable cylinders[J].InverseProblems,2009,25:1-17.
• [8]Yaman F.A combination of shape and conductivity function reconstruction methods for an inverse boundaryvalue problem[J].Wave Motion,2009,10(4):1-11.
• [9]Kress R.Numerical Analysis[M].Berlin:Spring-Verlag,1998.
• [10]Kress R.Linear Integral Equations[M].Berlin:Spring-Verlag,1989.