TY - JOUR
T1 - The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed
AU - Davies, Penny J.
AU - Rynne, Bryan P.
AU - Zubik-Kowal, Barbara
PY - 2002/8
Y1 - 2002/8
N2 - 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.
AB - 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.
KW - Electromagnetic scattering
KW - Pocklington's equation
KW - Thin wire antennas
KW - Time domain
UR - http://www.scopus.com/inward/record.url?scp=0036699019&partnerID=8YFLogxK
U2 - 10.1109/TAP.2002.800702
DO - 10.1109/TAP.2002.800702
M3 - Article
AN - SCOPUS:0036699019
SN - 0018-926X
VL - 50
SP - 1165
EP - 1166
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 8
ER -