A PHASELESS INVERSE SCATTERING PROBLEM FOR THE 3-D HELMHOLTZ EQUATION

被引：37

作者：

Klibanov, Michael V. ^{[1
]}

机构：

[1] Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC 28213 USA

来源：

INVERSE PROBLEMS AND IMAGING | 2017年 / 11卷 / 02期

关键词：

Lensless quality control of fabricated nanostructures; high frequencies; phaseless inverse scattering; uniqueness; NUMERICAL-SOLUTION; RETRIEVAL; UNIQUENESS;

D O I：

10.3934/ipi.2017013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An inverse scattering problem for the 3-D Helmholtz equation is considered. Only the modulus of the complex valued scattered wave field is assumed to be measured and the phase is not measured. This problem naturally arises in the lensless quality control of fabricated nanostructures. Uniqueness theorem is proved.

引用

页码：263 / 276

页数：14

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