11月5日 张波研究员 学术报告

发布时间:2013-11-01

题 目：Direct and Inverse Scattering by Locally Rough Surfaces

报告人：张波，研究员，中国科学院数学与系统科学研究院

时 间： 11月5日（周二） 下午4：00-5：00

地 点：新数学楼415室

Abstract:
In this talk, we consider the direct and inverse acoustic or electromagnetic scattering problems by a locally perturbed, perfectly reflecting, infinite plane (which is called a locally rough surface). We propose a novel integral equation formulation for the direct scattering problem which is defined on a bounded curve with two corners. This novel integral equation can be solved efficiently by using the Nystrom method with a graded mesh introduced previously by Kress and is capable of dealing with large wavenumber cases. For the inverse problem, we propose a Newton iteration method to reconstruct the local perturbation of the plane from multiple frequency far-field data, based on the novel integral equation formulation. Numerical examples are carried out to demonstrate that our reconstruction method is stable and accurate even for the case of multiple-scale profiles.

报告人简介：
http://sourcedb.cas.cn/sourcedb_amss_cas/zw/zjrck/200907/t20090728_2278563.html