The slightly less cool thing about a spherical reflector (as opposed to a parabolic reflector, for example) is that it focuses to a line rather than a point.

This can be corrected for either by making your receiving antenna in the shape of a line, though this severely limits the range of frequencies you can be monitoring at any given time (Arecibo Observatory with its 305-m spherical dish used to have a system of several line feeds that could be swapped in and out for different observing purposes before it switched to the second correcting option...), or by implementing a series of secondary reflectors that can then focus the line signal down to a point.