In order to solve the uneven heating problem, move heat exchanger below convergence point. Pic below identifies area where concentration of energy is at its greatest. The focal point in the center is at the greatest concentration of energy. But, even though that creates the highest energy point, that energy point may be too high. So, the idea is to move away from that a bit while retaining some of that concentrated energy.
This could enable a heat exchanger to be placed at that spot. Much simpler design. The downside could be that it may not be hot enough. One way to compensate for that is with a larger mirror.
This may be good enough now to make the concept work.
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