长沙理工大学天空彩票官网手机版app预告

天空彩票官网手机版app承办单位 : pg电子官网入口平台

天空彩票官网手机版app题目 :  Uniqueness to inverse grating diffraction problem with infinitely many plane waves

天空彩票官网手机版app内容:

In this talk, we focus on the inverse grating diffraction problem in two dimensional case. We prove that a sound-soft periodic curve can be uniquely determined by the near-field data incited by infinitely many incident plane waves with distinct directions at a fixed frequency. Our proof is based on Schiffer’ s idea that the total fields for distinct incident directions are linearly independent and for a fixed wave number there exist only finitely many linearly independent Dirichlet eigenfunctions in a bounded domain or a periodic strip under some assumptions on the surface. And based on the Rayleigh expansion for the scattered field we also prove that the phased near-field data can be uniquely determined by the phaseless near-field data in a bounded domain except a finite set of incident angles. Our proof is also valid for periodic surfaces with other boundary conditions. As a direct corollary, the corresponding uniqueness result for inverse sound-soft periodic surface scattering problem based on phaseless near-field data in a bounded domain can be established.

天空彩票官网手机版app人姓名 :徐小绪

天空彩票官网手机版app人所在单位 : 北京计算科学研究中心

天空彩票官网手机版app人职称/职务及天空彩票官网手机版app头衔 :博士后

天空彩票官网手机版app时间 :  2020年 10 月 29 日 16:25 － 17:10

天空彩票官网手机版app方式 : 理科楼 A-419

天空彩票官网手机版app人简介 :徐小绪博士 2019 年获中国科学院大学博士学位，现今在北京计算科学研究中心开展博士后研究，研究兴趣为声波与电磁波无相位反散射问题的理论与算法。目前正承担 1 项中国博士后科学基金项目，已发表 SCI 论文 5 篇。