Two-Dimensional Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking

被引：14

作者：

Abbas, Tasawar ^{[1
]}

Ammari, Habib ^{[2
]}

Hu, Guanghui ^{[3
]}

Wahab, Abdul ^{[4
]}

Ye, Jong Chul ^{[4
]}

机构：

[1] Int Islamic Univ, Fac Basic & Appl Sci, Dept Math & Stat, Islamabad 44000, Pakistan

[2] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[3] Beijing Computat Sci Res Ctr, Bldg 9,ZPk 2,10 Xibeiwang East Rd, Beijing 100193, Peoples R China

[4] Korea Adv Inst Sci & Technol, Dept Bio & Brain Engn, Bio Imaging & Signal Proc Lab, 291 Daehak Ro, Daejeon 305701, South Korea

来源：

JOURNAL OF ELASTICITY | 2017年 / 128卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Elastic scattering; Scattering coefficients; Elastic cloaking; Inverse scattering; ELECTROMAGNETIC SCATTERING; MATRIX-THEORY; EQUATIONS; FORMULATION; SHAPE;

D O I：

10.1007/s10659-017-9624-7

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The concept of scattering coefficients has played a pivotal role in a broad range of inverse scattering and imaging problems in acoustic, and electromagnetic media. In view of their promising applications in inverse problems related to mathematical imaging and elastic cloaking, the notion of elastic scattering coefficients of an inclusion is presented from the perspective of boundary layer potentials and a few properties are discussed. A reconstruction algorithm is developed and analyzed for extracting the elastic scattering coefficients from multi-static response measurements of the scattered field in order to cater to inverse scattering problems. The decay rate, stability and error analyses, and the estimate of maximal resolving order in terms of the signal-to-noise ratio are discussed. Moreover, scattering-coefficients-vanishing structures are designed and their utility for enhancement of nearly elastic cloaking is elucidated.

引用

页码：203 / 243

页数：41

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