HI Brian
In my view I feel its possible to duct light waves 2000 Km, BUT the only problem is the natural atmospheric properties required to support it would probably never occur. But in theory yes. Over long distance though you gotta keep in mind and number of attenuators of light, dust, pollution, water particles etc. Also I think being at the correct height to get light into a duct would be critical and also the receiver would need to be at the correct height and looking in the right direction.
For example at my QTH, the rare times I get superior mirages on the horizon, I only have to travel down hill a bit and eventually the mirage image is no longer visible. I have not really tried it in the other direction, ie increase height.
There is a person called Andrew Young who was been studying mirages and light propagation, he requested a link from his page to mine for people to view the mirage images Ive taken. On Andrews page
http://mintaka.sdsu.edu/GF/mirages/mirintro.html he has some info and diagrams that you may find very interesting regarding light propagation.