EIGENVALUES OF THE FAR FIELD OPERATOR FOR THE HELMHOLTZ-EQUATION IN AN ABSORBING MEDIUM

被引：34

作者：

COLTON, D ^{[1
]}

KRESS, R ^{[1
]}

机构：

[1] UNIV GOTTINGEN, INST NUMER & ANGEW MATH, D-37083 GOTTINGEN, GERMANY

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1995年 / 55卷 / 06期

关键词：

HELMHOLTZ EQUATION; FAR FIELD OPERATOR; SPECTRAL THEORY; INVERSE SCATTERING;

D O I：

10.1137/S0036139993256114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that there exist an infinite number of eigenvalues of the far field operator corresponding to the scattering of a time-harmonic plane wave by either an imperfectly conducting obstacle or an absorbing inhomogeneous medium. Regions in the complex plane are found where these eigenvalues must lie and, in the case of obstacle scattering, numerical examples are given showing how precise these regions are.

引用

页码：1724 / 1735

页数：12