TY - JOUR
T1 - Numerical approximation of time domain electromagnetic scattering from a thin wire
AU - Zubik-Kowal, Barbara
AU - Davies, Penny J.
PY - 2002
Y1 - 2002
N2 - We present two new stable schemes for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field. The problem involves solving a retarded potential integral equation (RPIE). One algorithm solves the previously studied reduced kernel RPIE problem, and the other solves the more complicated exact kernel RPIE problem (for which there are no previous numerical results). Both algorithms behave stably for arbitrarily chosen values of the mesh size. Test experiments and numerically computed values of the induced current are presented.
AB - We present two new stable schemes for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field. The problem involves solving a retarded potential integral equation (RPIE). One algorithm solves the previously studied reduced kernel RPIE problem, and the other solves the more complicated exact kernel RPIE problem (for which there are no previous numerical results). Both algorithms behave stably for arbitrarily chosen values of the mesh size. Test experiments and numerically computed values of the induced current are presented.
KW - Electromagnetic scattering
KW - Exact kernel
KW - Reduced kernel
KW - Retarded integral equations
KW - Thin wire
KW - Time domain
UR - http://www.scopus.com/inward/record.url?scp=0036273060&partnerID=8YFLogxK
U2 - 10.1023/A:1015689722761
DO - 10.1023/A:1015689722761
M3 - Article
AN - SCOPUS:0036273060
SN - 1017-1398
VL - 30
SP - 25
EP - 36
JO - Numerical Algorithms
JF - Numerical Algorithms
IS - 1
ER -