ON THE INVERSE SOURCE METHOD FOR SOLVING INVERSE SCATTERING PROBLEMS

被引:43
作者
CHEW, WC [1 ]
WANG, YM [1 ]
OTTO, G [1 ]
LESSELIER, D [1 ]
BOLOMEY, JC [1 ]
机构
[1] ECOLE SUPER ELECT,SIGNAUX & SYST LAB,F-91192 GIF SUR YVETTE 2,FRANCE
关键词
D O I
10.1088/0266-5611/10/3/004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem of solving the inverse scattering problem using the inverse source method is discussed. It is shown that the method, in general, gives rise to inaccurate solutions when the number of unknowns in the problem is increased. This is due to the presence of the non-radiating sources, and high-spatial-frequency currents that generate evanescent waves. Moreover, we show that the Green operator acts as a low-pass filtering operator, removing high-frequency information. The same problem is shown to be endemic from an operator viewpoint.
引用
收藏
页码:547 / 553
页数:7
相关论文
共 22 条
[1]  
Abramowitz M., 1965, HDB MATH FUNCTIONS
[2]   NONPERTURBATIVE DIFFRACTION TOMOGRAPHY VIA GAUSS-NEWTON ITERATION APPLIED TO THE SCATTERING INTEGRAL-EQUATION [J].
BORUP, DT ;
JOHNSON, SA ;
KIM, WW ;
BERGGREN, MJ .
ULTRASONIC IMAGING, 1992, 14 (01) :69-85
[3]   NUMERICAL-SOLUTION TO 3-DIMENSIONAL INVERSE SCATTERING FOR DIELECTRIC RECONSTRUCTION PURPOSES [J].
CAORSI, S ;
GRAGNANI, GL ;
PASTORINO, M .
IEE PROCEEDINGS-H MICROWAVES ANTENNAS AND PROPAGATION, 1992, 139 (01) :45-52
[4]   2-DIMENSIONAL MICROWAVE IMAGING BY A NUMERICAL INVERSE SCATTERING SOLUTION [J].
CAORSI, S ;
GRAGNANI, GL ;
PASTORINO, M .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1990, 38 (08) :981-989
[5]   A MULTIVIEW MICROWAVE IMAGING-SYSTEM FOR 2-DIMENSIONAL PENETRABLE OBJECTS [J].
CAORSI, S ;
GRAGNANI, GL ;
PASTORINO, M .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1991, 39 (05) :845-851
[6]  
Chew W. C., 1995, WAVES FIELDS INHOMOG
[7]   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
[8]   INVERSE SCATTERING SCHEME BASED ON THE MOMENT METHOD IN THE SPECTRAL DOMAIN .2. NUMERICAL-SIMULATION [J].
CHOI, HC ;
KIM, SY ;
RA, JW .
ULTRASONIC IMAGING, 1992, 14 (01) :29-39
[9]  
DEVANEY AJ, 1982, IEEE T ANTENN PROPAG, V30, P1034, DOI 10.1109/TAP.1982.1142902
[10]   LIMITATIONS AND DEFECTS OF CERTAIN INVERSE SCATTERING THEORIES [J].
FISCHER, M ;
LANGENBERG, KJ .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1984, 32 (10) :1080-1088