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

Authors
COLTON D KRESS R
Citation
D. Colton et R. Kress, EIGENVALUES OF THE FAR FIELD OPERATOR FOR THE HELMHOLTZ-EQUATION IN AN ABSORBING MEDIUM, SIAM journal on applied mathematics, 55(6), 1995, pp. 1724-1735
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
55
Issue
6
Year of publication
1995
Pages
1724 - 1735
Database
ISI
SICI code
0036-1399(1995)55:6<1724:EOTFFO>2.0.ZU;2-N
Abstract
It is shown that there exist an infinite number of eigenvalues of the far held operator corresponding to the scattering of a time-harmonic p lane wave by either an imperfectly conducting obstacle or an absorbing inhomogeneous medium. Regions in the complex plane are found where th ese eigenvalues must lie and, in the case of obstacle scattering, nume rical examples are given showing how precise these regions are.