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The effects of curvature and of the electrical parameters of thin dielectric layers deposited as superstrates on a perfectly conducting circular cylinder on the modal dispersion of waves guided tangentially along the outer (superstrate) layer of a two-layer geometry are examined. To chart the propagation characteristics of the layer-guided modes relevant to the three-dimensional (dipole-excited) Green's function for this geometry, it is necessary to solve the radial eigenvalue problem for the complex azimuthal propagation constants nu /sub p/( beta ), p 1, 2, . . ., which also identify poles of the nu -dependent spectral integrand of the Green's function. Here, beta is the spectral variable along the axial direction, with the Green's function synthesized as a double spectral integral over nu and beta . The pole locations are obtained numerically by solving the dispersion equation using Davidenko's method, and are parameterized …