MICROWAVE IMAGING BY ELASTIC DEFORMATION

被引：29

作者：

Ammari, Habib ^{[1
]}

Capdeboscq, Yves ^{[2
]}

de Gournay, Frederic ^{[3
]}

Rozanova-Pierrat, Anna ^{[4
]}

Triki, Faouzi ^{[5
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

[2] Math Inst, Oxford OX1 3LB, England

[3] Univ Versailles St Quentin En Yvelines, Math Lab, F-78035 Versailles, France

[4] Ecole Cent Paris, Lab Math Appl Syst, F-92295 Chatenay Malabry, France

[5] Univ Grenoble 1, Lab Jean Kuntzmann, F-38041 Grenoble 9, France

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2011年 / 71卷 / 06期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

hybrid imaging; expansion methods; microwave imaging; elastic perturbation; resolution enhancement; explicit inversion formula; optimal control; ELECTRICAL-IMPEDANCE TOMOGRAPHY; INVERSE MEDIUM SCATTERING; ELECTROMAGNETIC-FIELDS; ASYMPTOTIC FORMULAS; RECONSTRUCTION; CONDUCTIVITIES; INHOMOGENEITIES; PERTURBATIONS; EQUATION;

D O I：

10.1137/110828241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that by using microwave measurements at different frequencies and ultrasound localized perturbations to create local changes in the medium it is possible to extend the method developed by Ammari et al. in [SIAM J. Appl. Math., 68 (2008), pp. 1557-1573] to problems of the form. del.(a del u) + k(2)qu = 0 in Omega, u = phi on partial derivative Omega, and to reliably reconstruct both the real-valued functions a and q from the internal energies a|del u|(2) and q|u|(2).

引用

页码：2112 / 2130

页数：19

共 37 条

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