A new method for the solution of convolution-type dual integral-equation systems occurring in engineering electromagnetics

A general method for the solution of dual integral-equation systems is discussed in the context of applications in engineering electromagnetics. The approach follows a formulation based on a Fourier-series expansion of the unknown function and a successive expansion in a Neumann series of the Fourier-series coefficients. It is characterized by better convergence properties than classical numerical techniques usually adopted to solve the same class of problems and low computational costs. The efficiency and the performance of the proposed method are illustrated using the example of a typical electrostatic problem: the evaluation of the charge distribution of a hollow conducting cylinder, starting from the knowledge of the potential on the surface.