Back scattering cross sections of cylindrical wires of finite conductivity

The back scattering cross sections of fine wires, taking the effect of finite conductivity into account, have been found. The variational procedure is used to find theoretical expressions for the cross section and it is concluded that the zeroth and the first-order solutions of Tai converge to one another with the addition of loss, in the region of first resonance. For fine copper, platinum and bismuth wires, experimentally determined cross sections agree with the theoretical results calculated from the zero-order solution to within 4 per cent in peak resonant values and 1.5 per cent in bandwidth.