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.
| Original language | English |
|---|---|
| Pages (from-to) | 1165-1166 |
| Number of pages | 2 |
| Journal | IEEE Transactions on Antennas and Propagation |
| Volume | 50 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2002 |
Keywords
- anennas
- propagation
- equations
- time domain
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Davies, P. J., Zubik-Kowal, B., & Rynne, B. P. (2002). The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed. IEEE Transactions on Antennas and Propagation, 50(8), 1165-1166. https://doi.org/10.1109/TAP.2002.800702