ANALYSIS OF THE GREEN-FUNCTION APPROACH TO ONE-DIMENSIONAL INVERSE PROBLEMS .2. SIMULTANEOUS RECONSTRUCTION OF 2 PARAMETERS

被引:8
作者
HE, SL [1 ]
ROMANOV, VG [1 ]
STROM, S [1 ]
机构
[1] NOVOSIBIRSK MATH INST,NOVOSIBIRSK 630090,RUSSIA
关键词
D O I
10.1063/1.530555
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The wave-splitting Green's function approach to one-dimensional electromagnetic inverse problems of simultaneous reconstructions with different types of scattering data is analyzed. Theorems of existence, uniqueness, and stability are given for the following types of scattering data: reflection and transmission data for one round trip, two-sided reflection data for one round trip, reflection data for two round trips.
引用
收藏
页码:2315 / 2335
页数:21
相关论文
共 7 条
[1]  
[Anonymous], 1972, APPROXIMATE SOLUTION
[2]  
COURANT R, 1962, METHODS MATH PHYSICS, V2
[3]  
HE S, UNPUB J MATH PHYS
[4]   ANALYSIS OF THE GREEN-FUNCTION APPROACH TO ONE-DIMENSIONAL INVERSE PROBLEMS .1. ONE-PARAMETER RECONSTRUCTION [J].
HE, SL ;
KABANIKHIN, SI ;
ROMANOV, VG ;
STROM, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (12) :5724-5746
[5]   DIRECT AND INVERSE SCATTERING IN THE TIME DOMAIN FOR A DISSIPATIVE WAVE-EQUATION .3. SCATTERING OPERATORS IN THE PRESENCE OF A PHASE-VELOCITY MISMATCH [J].
KRISTENSSON, G ;
KRUEGER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (02) :360-370
[6]   A GREEN-FUNCTION APPROACH TO THE DETERMINATION OF INTERNAL FIELDS [J].
KRUEGER, RJ ;
OCHS, RL .
WAVE MOTION, 1989, 11 (06) :525-543
[7]  
Romanov V. G., 1991, INVERSE PROBLEMS GEO