The scattering from a thin PEC cylinder is solved by means of a semi-analytical method. In azimuth, the surface current is expanded into a standard Fourier series, while an expansion into Chebyshev polynomials is used in the longitudinal direction. For an, in principle, arbitrary incident electromagnetic field, the expansion coefficients are determined using a Galerkin method. The numerical part involves solving Sommerfeld type integrals in the spectral domain. Given the expansion coefficients, analytical expressions for the scattered fields are derived. Numerical results are compared with the wire antenna with midpoint delta-gap feeding, and for plane wave illumination. Extensions to cylinders with surface resistance and multiple section cylinders are presented.