Phase less inverse problems with interference waves

被引：16

作者：

Romanov, Vladimir G. ^{[1
]}

Yamamoto, Masahiro ^{[2
]}

机构：

[1] Russian Acad Sci, Siberian Div, Sobolev Inst Math, Acad Koptyug Prospekt 4, Novosibirsk 630090, Russia

[2] Univ Tokyo, Dept Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 153, Japan

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2018年 / 26卷 / 05期

基金：

俄罗斯基础研究基金会; 日本学术振兴会;

关键词：

Inverse problem; phaseless information; elliptic equation; uniqueness; tomography problem; inverse kinematic problem; SCATTERING PROBLEMS; UNIQUENESS; 3-D; PERMITTIVITY; COEFFICIENT; INFORMATION; EQUATIONS;

D O I：

10.1515/jiip-2018-0037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two phaseless inverse problems for elliptic equations are considered. We assume that information related to modulus of full fields, which consist of sums of incident and scattering fields, is given. These full fields are the interference fields generated by point sources. We introduce a set of auxiliary point sources for solving the inverse problems and demonstrate that the corresponding data allow us to solve the inverse problems in a way similar to the case of measurements of scattering waves.

引用

页码：681 / 688

页数：8