This work discusses an alternative geometrical optics (GO) technique to synthesize omnidirectional dual-reflector antennas with\nuniform aperture phase distribution together with an arbitrary main-beam direction for the antenna radiation pattern. Sub- and\nmain reflectors are bodies of revolution generated by shaped curves defined by local conic sections consecutively concatenated.\nThe shaping formulation is derived for configurations like ADC (axis-displaced Cassegrain) and ADE (axis-displaced ellipse)\nomnidirectional antennas. As case studies, two configurations fed by a TEM coaxial horn are designed and analyzed by a hybrid\ntechnique based on mode matching and method of moments in order to validate the GO shaping procedure.
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