A new method, which combines the edge-element method with the mode-matching procedure, is developed for the reflection and radiation analysis of the dielectric rod antenna excited by the HE11 hybrid mode. Unlike the conventional method to treat the radiation as a “source-field” problem, in the present approach, the eigenvalue problem of the dielectric guided-wave structure is calculated first, and then the radiation problem is transferred to the propagation problem of a series of surface waves and space waves from the viewpoint of scattering. As a result, the analysis procedure is tremendously simplified. Numerical results calculated with the present method agree well with those given in the literature; thus the effectiveness of the present approach is verified.