It is taught that two reflective parabolic or paraboloidal surfaces of different
scales whose axes point in opposite directions but which share a common focal point
can be used as an image forming telescope. If only a portion of a parabolic or
paraboloidal sliced along the optical axis is used as the surfaces, then they can
be configured so that light rays strike the surfaces at such angles as to be totally
internally reflected. Thus a solid prism can be constructed that serves as telescopic
or non-imaging collector of light with no loss of energy due to internal reflection
or refraction. Since this system does not depend on an optically precise entry
surface, it may be useful in fiber optic and solar power applications.