I thought of it a week ago and modeled it in art of illusion and it seems to work as intended. The name is inspired by the "Kyoto box" solar cooker that netted thousands of dollars for its "inventor".
In this case, I think it IS a bone fida new type of solar cooker.
Check it out
http://www.instructables.com/id/Compound-solar-cooker/
and
http://www.youtube.com/watch?v=Jp4TWLQbYJ4
The primary trough is a parabolic trough twisted by 30 degrees inward round its focal line. (That means that for 2 hours all the sunlight passes at or below the focal line). (The twist provides that certainty). You can twist by other amounts depending on your needs.
The secondary reflectors concentrate the sunlight onto the cooking pot.
There is also a "winston w curve" that has potential for really good primary concentration and so is a good candidate shape for the large trough.
I have made parabolic and compound parabolic dishes. It is a difficult task. Making troughs are several orders of magnitude easier.
Please take a look and publicise it. Remember that it is just a week old so it is still a bit rough around the edges. I think it will have a powerful impact across the world.
Brian