How can I magnify, intensify, and redirect the light from a skylight so that it is most effective?
You can always use the concept of a sun tube, a mirrored tube that runs from the roof to a room.  If the walls of the alcove that houses the skylight are not already white, paint them white.  It will reflect more light than a darker color.  If you really want as much light from the skylight as possible, mount mirrors on the walls of the skylight.