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The problem of the selection of the singularity of the Green's function spectral representation when calculating the mutual coupling coefficients of longitudinal electrical dipoles located near the impedance circular cylinder is solved. The current distribution in the dipoles is approximated by the generalized modes. The calculation results of both addition values caused by the singularity and the mutual coupling coefficients for the case when two longitudinal dipoles are located near the impedance circular cylinder is presented. It is shown that the Green's function singularity appear strongly in the case of calculating the reactive component of self-impedance coefficients and mutual coupling dipoles with moving off midpoints along the cylinder element to a distance equivalent to the length of the radiator.

impedance circular cylinder; longitudinal dipole; selection of the singularity of Green's function spectral representation