The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed

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 numeric...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 50; no. 8; pp. 1165 - 1166
Main Authors Davies, P.J., Rynne, B.P., Zubik-Kowal, B.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2002
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Antennas
Convergence of numerical methods
Electromagnetic scattering
Frequency
Integral equations
Kernel
Kernels
Light scattering
Mathematical models
Mathematics
Oscillating
Pollution
Scattering
Time domain
Time domain analysis
Well posed problems
Wire
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Summary: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.
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ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2002.800702