This paper presents a formulation for shaping the main reflector of an axis-symmetric dual-reflector antenna designed to offer\r\nan omnidirectional coverage with an arbitrary radiation pattern in the vertical plane. The subreflector is generated by an axisdisplaced\r\nconic, and the main reflector is shaped to achieve a prescribed far-field radiation pattern. The procedure is based on\r\ngeometrical optics (GO) principles. Two distinct far-field ray structures are explored and their limitations are identified. The GO\r\nshaping results are validated by analysis provided by the accurate method of moments technique.
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