Inverse scattering for gratings and wave guides

被引:7
作者
Eskin, Gregory [1 ]
Ralston, James [1 ]
Yamamoto, Masahiro [2 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
[2] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan
关键词
D O I
10.1088/0266-5611/24/2/025008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the problem of unique identification of dielectric coefficients for gratings and sound speeds for wave guides from scattering data. We prove that the 'propagating modes' given for all frequencies uniquely determine these coefficients. The gratings may contain conductors as well as dielectrics and the boundaries of the conductors are also determined by the propagating modes.
引用
收藏
页数:12
相关论文
共 17 条
[1]  
Ahluwalia D., 1977, Lecture Notes in Phys., V70, P14
[2]   MATHEMATICAL STUDIES IN RIGOROUS GRATING THEORY [J].
BAO, G ;
DOBSON, DC ;
COX, JA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1995, 12 (05) :1029-1042
[3]   INVERSE PROBLEMS FOR SCATTERING BY PERIODIC STRUCTURES [J].
BAO, G ;
FRIEDMAN, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 132 (01) :49-72
[4]   Boundary control in reconstruction of manifolds and metrics (the BC method) [J].
Belishev, MI .
INVERSE PROBLEMS, 1997, 13 (05) :R1-R45
[5]  
Buchanan J., 2004, Marine Acoustics: Direct and Inverse Problems
[6]   Recovering inhomogeneities in a waveguide using eigensystem decomposition [J].
Dediu, Sava ;
McLaughlin, Joyce R. .
INVERSE PROBLEMS, 2006, 22 (04) :1227-1246
[7]  
Elschner J, 2007, Z ANAL ANWEND, V26, P165
[8]   A new approach to hyperbolic inverse problems II: global step [J].
Eskin, G. .
INVERSE PROBLEMS, 2007, 23 (06) :2343-2356
[9]   A new approach to hyperbolic inverse problems [J].
Eskin, G. .
INVERSE PROBLEMS, 2006, 22 (03) :815-831
[10]  
GILBERT RP, 2000, DIRECT INVERSE PROBL