Neumann’s method has been used to investigate the low-frequency electromagnetic scattering problems by an infinitely long conducting cylinder

Both E-wave incidence and H-wave incidence have been studied and some numerical examples have been expounded. The Neumann’s series solution has the virtues of fast convergency for low frequency calculations and does not involve the matrix inversion in the numerical formulation. The surface current distributions are obtained as simple summations

and hence the computational time is greatly saved compared with other numerical methods.