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利用线性抽样方法求解反介质散射问题
Solving inverse medium scattering problem by linear sampling method
【摘要】 线性抽样方法在考虑一个第一类线性积分方程中的参数z从区域内部趋近散射区域边界D时,该方程的解趋近于无穷大。在此基础上对z∈R2\D的情形就反介质散射问题,利用积分方程理论严格证明了该方程的解的收敛性。
【Abstract】 The linear sampling method is based on showing that a linear integral equation of the first kind far field equation include a parameter z,which has a solution that becomes unbounded as z approaches the scattering boundary D from inside D.The convergence of the solution of this equation is rigorously proven as z∈R~2\D,related to the inverse medium problem.6 refs.
【关键词】 数学分析;
线性抽样方法;
远场方程;
反介质;
散射;
【Key words】 mathematical analysis; linear sampling method; far field equation; inverse medium; scattering;
【Key words】 mathematical analysis; linear sampling method; far field equation; inverse medium; scattering;
【基金】 陕西省自然科学基金项目(2002A10)
- 【文献出处】 长安大学学报(自然科学版) ,Journal of Chang’an University(Natural Science Edition) , 编辑部邮箱 ,2006年05期
- 【分类号】O422.5
- 【被引频次】3
- 【下载频次】106