Schiffer's theorem in inverse scattering theory for periodic structures

被引：53

作者：

Hettlich, F ^{[1
]}

Kirsch, A ^{[1
]}

机构：

[1] UNIV KARLSRUHE,INST MATH 2,D-76128 KARLSRUHE,GERMANY

来源：

INVERSE PROBLEMS | 1997年 / 13卷 / 02期

关键词：

UNIQUENESS THEOREMS;

D O I：

10.1088/0266-5611/13/2/010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the inverse scattering problem to recover a periodic structure by scattered waves measured above the structure. It is shown that a finite number of incident plane waves is sufficient to identify the structure. Additionally by a monotonicity principle for the eigenvalues of the Laplacian some upper bounds of the required number of wavenumbers are presented if a priori information on the height of the structure is available.

引用

页码：351 / 361

页数：11

共 16 条

[1]

ALBER HD, 1979, P ROY SOC EDINB A, V82, P251

[2] UNIQUENESS THEOREMS FOR AN INVERSE PROBLEM IN A DOUBLY PERIODIC STRUCTURE [J].