Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

被引：9

作者：

Bellassoued, Mourad ^{[1
]}

Choulli, Mourad ^{[2
,3
]}

Jbalia, Aymen ^{[1
,2
,3
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Bizerte 7021, Tunisia

[2] Univ Lorraine, LMAM, UMR 7122, F-57045 Metz 1, France

[3] CNRS, F-57045 Metz 1, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 18期

关键词：

stability estimate of logarithmic type; surface impedance of an obstacle; scattering amplitude; elliptic Carleman inequality;

D O I：

10.1002/mma.2762

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the surface impedance of an obstacle from the scattering amplitude. We present a simple and direct proof, which is essentially based on an elliptic Carleman inequality. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2429 / 2448

页数：20

共 50 条

[1] THE DETERMINATION OF THE SURFACE IMPEDANCE OF AN OBSTACLE
KEDZIERAWSKI, AW
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1993, 36 : 1 - 15
[2] CONTINUOUS DEPENDENCE OF THE SCATTERING-AMPLITUDE ON THE SURFACE OF AN OBSTACLE
RAMM, AG
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1995, 18 (02) : 121 - 126
[3] THE DETERMINATION OF THE SURFACE IMPEDANCE OF AN OBSTACLE FROM MEASUREMENTS OF THE FAR FIELD PATTERN
COLTON, D
KIRSCH, A
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1981, 41 (01) : 8 - 15
[4] An inverse scattering problem from an impedance obstacle
Lee, Kulo-Ming
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 227 (01) : 431 - 439
[5] The determination of the surface impedance of a partially coated obstacle from far field data
Cakoni, F
Colton, D
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 64 (02) : 709 - 723
[6] Determination of the Surface Corrugation Amplitude from Classical Atom Scattering
Hayes, W. W.
Manson, J. R.
[J]. PHYSICAL REVIEW LETTERS, 2012, 109 (06)
[7] Reconstruction of an obstacle from the scattering amplitude at a fixed frequency
Ikehata, M
[J]. INVERSE PROBLEMS, 1998, 14 (04) : 949 - 954
[8] Stable determination of the surface impedance of an obstacle by far field measurements
Sincich, E.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2006, 38 (02) : 434 - 451
[9] THE DETERMINATION OF ANISOTROPIC SURFACE IMPEDANCE IN ELECTROMAGNETIC SCATTERING
Cakoni, Fioralba
Monk, Peter
[J]. METHODS AND APPLICATIONS OF ANALYSIS, 2010, 17 (04) : 379 - 394
[10] SCATTERING-AMPLITUDE AS A FUNCTION OF THE OBSTACLE
RAMM, AG
[J]. APPLIED MATHEMATICS LETTERS, 1993, 6 (05) : 85 - 87

← 1 2 3 4 5 →