DocumentCode :
1209142
Title :
The singular function expansion in time-dependent scattering
Author :
Marks, Roger B.
Author_Institution :
Section of Appl. Phys., Yale Univ., New Haven, CT, USA
Volume :
37
Issue :
12
fYear :
1989
fDate :
12/1/1989 12:00:00 AM
Firstpage :
1559
Lastpage :
1565
Abstract :
A class of linear initial-boundary-value problems relevant to time-dependent scattering is solved exactly in terms of the complete, orthogonal set of singular functions of the appropriate integral operator. The method is primarily presented as a mathematically defensible alternative to the eigenmode expansion method. The results extend the singularity expansion method to include the steady-state response at source frequencies and provide a connection between resonance behavior in the steady-state and low-loss natural modes. The method furthermore leads to an efficient automatic algorithm for the determination of natural modes and natural frequencies by observation of the singular values. The conclusions are supported by numerical calculations
Keywords :
boundary-value problems; electromagnetic wave scattering; EM scattering; integral operator; linear initial-boundary-value problems; low-loss natural modes; resonance behavior; singular function expansion; steady-state response; time-dependent scattering; Boundary value problems; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic scattering; Frequency; Helium; NIST; Physics; Scholarships; Steady-state;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/8.45098
Filename :
45098
Link To Document :
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