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This paper presents a hybrid combination of the generalized ray expansion (GRE) method and high-frequency methods for analyzing the scattering and radiation problems incorporating electrically large and complex structures. A dense grid of ray tubes are launched from the phase centers of the subapertures making up the equivalent surface which encloses the target in the scattering problem, or the antenna in the radiation problem. Those rays represent the equivalent incident field on the target in the former case, and the field radiated by the antenna in the latter case. The rays are then traced through interactions with the target or the nearby structure based on high-frequency methods. The main advantage of the GRE method is that only one set of rays needs to be traced and it is independent of the excitation.