Scattering Control for the Wave Equation with Unknown Wave Speed

被引：11

作者：

Caday, Peter ^{[1
]}

de Hoop, Maarten V. ^{[1
,2
]}

Katsnelson, Vitaly ^{[1
]}

Uhlmann, Gunther ^{[3
,4
]}

机构：

[1] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

[2] Rice Univ, Dept Earth Environm & Planetary Sci, Houston, TX USA

[3] Univ Washington, Dept Math, Seattle, WA 98195 USA

[4] Hong Kong Univ Sci & Technol, Inst Adv Study, Clear Water Bay, Hong Kong, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2019年 / 231卷 / 01期

基金：

芬兰科学院; 美国国家科学基金会;

关键词：

INVERSE SCATTERING; SINGULARITIES; MARCHENKO;

D O I：

10.1007/s00205-018-1283-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the acoustic wave equation with unknown wave speed c, not necessarily smooth. We propose and study an iterative control procedure that erases the history of a wave field up to a given depth in a medium, without any knowledge of c. In the context of seismic or ultrasound imaging, this can be viewed as removing multiple reflections from normal-directed wavefronts.

引用

页码：409 / 464

页数：56

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