DocumentCode
824917
Title
The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed
Author
Davies, Penny J. ; Rynne, Bryan P. ; Zubik-Kowal, Barbara
Author_Institution
Dept. of Math., Strathclyde Univ., Glasgow, UK
Volume
50
Issue
8
fYear
2002
fDate
8/1/2002 12:00:00 AM
Firstpage
1165
Lastpage
1166
Abstract
We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.
Keywords
antenna theory; electromagnetic wave scattering; integral equations; time-domain analysis; wire antennas; Pocklington integral equation; electromagnetic scattering; reduced kernel; straight thin-wire antenna; time domain integral equation; Convergence of numerical methods; Electromagnetic scattering; Frequency; Integral equations; Kernel; Light scattering; Mathematics; Pollution; Time domain analysis; Wire;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/TAP.2002.800702
Filename
1035009
Link To Document