Professor Papanicolaou asserted that the superresolution phenomena is related to "sending a time reversed signal" back into the earth.
I note that if the impulse response of a system is time reversed and then fed into the same system, the output is an autocorrelation function. Many physical systems satisfy the conditions of reciprocity, that is, they have a symmetric matrix that carries source locations to receiver locations. On such a system you can interchange the sender and receiver and record the same signal.
My view here is that the magic comes from using autocorrelation. It can gather the scattered information that the main antenna is not prepared for.
I'd like also to thank James Rickett for his critical interest in this work, for helping me get my algebra correct, and for pointing out the danger with the cross term of u+w.