[1]高天玲.手性障碍电磁反散射边界重构问题及其计算[J].深圳大学学报理工版,2009,26(4):432-435.
 GAO Tian-ling.The boundary reconstruction and computation of chiral obstacle in electromagnetic scattering problems[J].Journal of Shenzhen University Science and Engineering,2009,26(4):432-435.
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手性障碍电磁反散射边界重构问题及其计算()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第26卷
期数:
2009年4期
页码:
432-435
栏目:
物理与应用物理
出版日期:
2009-10-31

文章信息/Info

Title:
The boundary reconstruction and computation of chiral obstacle in electromagnetic scattering problems
文章编号:
1000-2618(2009)04-0432-04
作者:
高天玲
深圳大学数学与计算科学学院,深圳 518060
Author(s):
GAO Tian-ling
College of Mathematics and Computational Science,Shenzhen University,Shenzhen 518060,P.R.China
关键词:
Bohern组合手性介质电磁反散射远场
Keywords:
Bohren’s decompositionchiral mediainverse electromagnetic scatteringfar field
分类号:
O 29;O 242.2
文献标志码:
A
摘要:
利用Bohren组合对手性障碍物的电磁反散射进行数学建模,得到具有相互耦合边界条件的Helmhotz 方程组.引入函数g,其范数在边界趋于无穷,利用此性质给出边界重构算法,并进行数值模拟.
Abstract:
By the Bohren’s decomposition,a mathematical model of chiral obstacle in electromagnetic scattering problems was established,and the Helmholtz equations with the coupling boundary conditions were obtained.A g function whose norm is infinity on the boundary was introduced. By this property,the theory of reconstruction method is given and the boundary of obstacle is reconstructed.

参考文献/References:

[1]Ammari H,Nédélec J C.手性介质中的时间调和的电磁场 [J].衍射理论现代数学方法及其在工程中的应用,1997,1:174-202(英文版).
[2]Monk P,Kirsch A.反问题导论 [M]//施普林格应用数学科学:第120卷.纽约:施普林格出版社,1996(英文版).
[3]Colton D,Kress R.相反音响和电磁式驱散的理论[M]//施普林格应用数学科学:第93卷.第2版.纽约:施普林格出版社,1998:334(英文版).
[4]Colton D,Michele P.电场极化情形下的电磁反散射问题的简单方法 [J].反问题,1998(14):597-614(英文版).
[5]高天玲,张德悦,马富明.手性障碍电磁反散射边界重构线性抽样法理论的分析 [J].东北数学,2006(22):491-502(英文版).

[1]Ammari H,Nédélec J C.Time-harmonic electromagnetic fields in chiral media[J].Modern Mathematical Methods in Diffraction Theory and its Applications in Engineering,1997,1:174-202.
[2]Monk P,Kirsch A.An Introduction to the Mathematical Theory of Inverse Problem[M]//Springer-Verlag Applied Mathenatical Science Series:Vol 120.NY:Springer,1996.
[3]Colton D,Kress R.Inverse Acoustic and Electromagnetic Scattering Theory[M]//Springer-Verlag Applied Mathematical Scienves:Vol 93. 2nd edit. NY:Springer,1998:334.
[4]Colton D,Michele P.The simple method for solving the electromagnetic inverse scattering problem:the case of TE polarized waves [J].Inverse Problem, 1998(14):597-614.
[5]GAO Tian-ling,ZHANG De-yue,MA Fu-ming.Analysis of the linear sampling method for boundary reconstruction of chiral obstacle in electromagnetic scattering problems[J].Northeast Math J,2006(22):491-502.

备注/Memo

备注/Memo:
收稿日期:2008-05-19;修回日期:2009-07-10
基金项目:深圳大学科研基金资助项目(200855)
作者简介:高天玲(1980),女(汉族),吉林省白城市人,深圳大学讲师、博士. E-mail:tlgao@szu.edu.cn
更新日期/Last Update: 2009-11-09