3-DIMENSIONAL INHOMOGENEOUS-MEDIA IMAGING

被引:5
作者
GUTMAN, S [1 ]
KLIBANOV, M [1 ]
机构
[1] UNIV N CAROLINA,DEPT MATH,CHARLOTTE,NC 28223
关键词
D O I
10.1088/0266-5611/10/6/002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider computational aspects of a 3D inverse scattering problem for the Helmholtz equation. An algorithm based on the regularized quasi-reversibility method is presented. The performance of this algorithm for the identification of general 3D non-symmetric dielectric functions is analysed for the scattering from a homogeneous ball. The numerical results show that a reasonable identification can be achieved within a short time frame, which is the first result of this kind in the computational ISP.
引用
收藏
页码:L39 / L46
页数:8
相关论文
共 14 条
[1]   3-DIMENSIONAL INVERSE SCATTERING FOR THE WAVE-EQUATION WITH VARIABLE SPEED - NEAR-FIELD FORMULAS USING POINT SOURCES [J].
CHENEY, M ;
BEYLKIN, G ;
SOMERSALO, E ;
BURRIDGE, R .
INVERSE PROBLEMS, 1989, 5 (01) :1-6
[2]   RECONSTRUCTION OF 2-DIMENSIONAL PERMITTIVITY DISTRIBUTION USING THE DISTORTED BORN ITERATIVE METHOD [J].
CHEW, WC ;
WANG, YM .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 1990, 9 (02) :218-225
[3]   THE NUMERICAL-SOLUTION OF AN INVERSE SCATTERING PROBLEM FOR ACOUSTIC-WAVES [J].
COLTON, D ;
MONK, P .
IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 49 (02) :163-184
[4]  
COLTON D, 1992, APPLIED MATH SCI, V93
[5]  
DEVANEY A, 1986, ULTRASONIC IMAGING, V4, P336
[6]  
DEVANEY AJ, 1992, INVERSE PROBLEMS SCA, P47
[7]   REGULARIZED QUASI-NEWTON METHOD FOR INVERSE SCATTERING PROBLEMS [J].
GUTMAN, S ;
KLIBANOV, M .
MATHEMATICAL AND COMPUTER MODELLING, 1993, 18 (01) :5-31
[8]   ITERATIVE METHOD FOR MULTIDIMENSIONAL INVERSE SCATTERING PROBLEMS AT FIXED FREQUENCIES [J].
GUTMAN, S ;
KLIBANOV, M .
INVERSE PROBLEMS, 1994, 10 (03) :573-599
[9]  
Gutman S., 1993, Journal of Computational Acoustics, V1, P197, DOI 10.1142/S0218396X93000123
[10]  
KAK AC, 1992, PRINCIPLES COMPUTERI