Abstract
An effective approach is suggested for calculating the Green's function of an axially symmetric sheet magnetic current placed on a circular cylindrical metal surface. Upon improving convergence of the available Fourier transform, it has been possible to explicitly develop the Green's function logarithmic singularity at the source. Also, the Green's function behavior at the branch point in the spectral domain has been considered, ending up with the singularity extraction in the space domain. It is shown that this branch point singularity (pole) corresponds to the cylindrical quasi-TEM mode of the cylinder exterior. Finally, the rest of the Green's function is effectively numerically calculated.
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