A new expression for the scattering of a Gaussian beam by a conducting cylinder

The scattering of a Gaussian beam with phase distribution by a conducting cylinder is analyzed for the
H
and
E
waves. A simpler expression than in conventional analysis is successfully obtained by using a new method of solution. The expression of the beam is represented as a product of a well-known scattering of a plane wave and a weighting function. This analysis is still valid for the case where the diameter of the cylinder is comparable or equal to the beamwidth. The Poynting vector and the amplitude of the total Gaussian beam near the cylinder are sketched in two-dimensional space. The amplitude and phase of the total beam are compared with experimental results. The surface current distribution and scattering patterns are also described.