Light piping / lensing

[Externet]

Hi all.

How can light from multiple sources be simultaneously directed to a single area/direction ?

 

Is there any unusual -or not- shape of lens/material/coating (cone, dome... ?) that refracts light incoming from any direction and bends/focuses it towards the same spot ?

 

Those "solatubes" installable on roofs gather light from nearly all directions and by its mirrored internal surfaces tube it is 'piped' to a single 'destination'

 

If a chamber had its 4 walls and ceiling covered with light bulbs, what optics contraption could be placed in such chamber so the light hitting the contraption be channelized/ducted/refracted/conveyed to the surface where it stands ?

 

Would a hemispheric lens (flat at bottom) illuminate the surface it rests on with the sum of light incoming from all directions ?