DocumentCode :
1020562
Title :
On the relationship between the singularity expansion method and the mathematical theory of scattering
Author :
Dolph, Charles L. ; Cho, Soon K.
Author_Institution :
Univ. of Michigan, Ann Arbor, MI, USA
Volume :
28
Issue :
6
fYear :
1980
fDate :
11/1/1980 12:00:00 AM
Firstpage :
888
Lastpage :
897
Abstract :
The so-called natural frequencies in the singularity expansion method (SEM) consist of two nonintersecting sets of wavenumber parameters: namely, a set of interior resonant frequencies which occur on the negative imaginary axis of the s plane and a set of those which reside in the left half of the s plane off the imaginary axis. It is shown that only the latter set can be interpreted as intrinsic to the scatterer. It corresponds to the set of complex poles of the scattering matrix of the problem and also to the set of complex eigenvalues of the related exterior homogeneous boundary value problem. Finally, some doubts about the eigenmode expansion method (EEM) formalism are raised, and a possible justification, based on nonself-adjoint theory, is suggested.
Keywords :
Electromagnetic transient scattering; Singularity expansion methods; Transient electromagnetic scattering; Acoustic scattering; Boundary conditions; Boundary value problems; Electromagnetic scattering; Electromagnetic transients; Frequency; Integral equations; Numerical analysis; Particle scattering; Scattering parameters;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1980.1142415
Filename :
1142415
Link To Document :
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