期刊论文

The Kirsch-Kress method for the inverse scattering problem by sound-soft infinite surfaces

中文

湘潭大学学报(自然科学学报)

2096-644X

2023

45

01

37-50

10.13715/j.issn.2096-644X.20220423.0002

12171057:国家自然科学基金 21B0299:湖南省教育厅项目

本校为第一机构

该文研究二维空间中声软型无穷曲面的反散射问题.当无穷曲面是平面的局部扰动时，发展了基于近场数据的Kirsch-Kress方法.利用该方法将反散射问题转化为带有Tikhonov正则项的非线性优化问题，当正则化参数趋于零时，证明了此优化问题的收敛性.最后，通过数值实验验证了Kirsch-Kress方法的有效性.

This paper is concerned with the inverse scattering problem of sound-soft infinite surfaces in two-dimensional space.When the infinite surface is a local perturbation of the plane,developed the Kirsch-Kress method based on near-field data.Using this method,transform the...MORE This paper is concerned with the inverse scattering problem of sound-soft infinite surfaces in two-dimensional space.When the infinite surface is a local perturbation of the plane,developed the Kirsch-Kress method based on near-field data.Using this method,transform the inverse scattering problem into a nonlinear optimiz...