Time-reversed acoustics in time-variant materials uses emission of a sign-reversed two-component wave field from a single time instant, while Green's function retrieval uses spatial crosscorrelation of wave fields at two time instants from two-component sources at one instant.
Extracting the Green’s function from the correlation of coda waves: A derivation based on stationary phase
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On the relation between time-reversed acoustics and Green's function retrieval in space-variant and in time-variant materials
Time-reversed acoustics in time-variant materials uses emission of a sign-reversed two-component wave field from a single time instant, while Green's function retrieval uses spatial crosscorrelation of wave fields at two time instants from two-component sources at one instant.