A Luneberg-Kline expansion solution for the transient scattering of cylindrical waves by a circular cylinder

Recently, the early-time response of a perfectly conducting circular cylinder to electromagnetic waves was studied by the authors (1988). The results obtained then for the shadow region using different approaches are in good agreement, while the results for the illuminated region can only be approximated to the physical optics solution. The authors use the Luneberg-Kline expansion to obtain a more accurate solution for the illuminated region. Computed results for the early-time currents in the illuminated region are shown. It can be seen that as time increases the results obtained on the basis of Luneberg-Kline expansion decrease more rapidly than those of the physical optics solution. For small times the results corresponding to the two different approaches are in better agreement.<>