Time reversed waves propagating in heterogeneous media
have two striking properties. First they have better
refocusing properties than when propagation occurs in homogeneous media. Second the refocused signal depends on the statistics of the heterogeneous medium and not on its detailed structure. We present a few regimes in which we can quantify refocusing and prove statistical
stability. We consider next how the correct refocusing
and stability properties can be simulated numerically
when a time splitting algorithm is used.
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