Abstract: A reflecting asphere of revolution for reflecting light radiation having a wavelength in the range from 0.2 microns to 10 microns, emanating from or passing through a focus into an omnidirectional planar or conical fan beam of uniform thickness. The reflecting surface is generated by rotating an outer segment of a parabola about a line intersecting the parabola axis at its focus. In one application, this reflecting surface is used to equally disperse optical power emanating from the end face of an optical fiber to a plurality of solar cells. In another application, two of these reflecting aspheres of revolution are utilized to create an annular zone in a system for detecting objects, such as aircraft, entering the annular zone. Folding mirrors may be utilized to make systems using this reflecting asphere of revolution more compact. Also, truncated conical reflecting surfaces may be used with these reflecting aspheres of revolution to generate certain beams, such as annular cylindrical beams.