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.
- time domain
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