Theoretical and numerical comparisons between Laplace´s solution and Poisson´s solution to the forward problem for a finite right circular cylinder [EIT image reconstruction]

This paper shows that the full analytical solution derived by the mode matching technique for a finite right circular cylinder using Laplace´s equation with inhomogeneous boundary conditions reduces to the full analytical solution derived by the Green´s function technique for Poisson´s equation using homogeneous boundary conditions when two identical rectangular electrodes are arbitrarily placed on the curved surface of the cylinder. Numerical comparisons between the full solution to Laplace´s equation and a reduced form in terms of computed potentials on some points and reconstruction of equipotentials for a polar drive configuration are also presented