Novel spacetime-integral indicator functions enable uniqueness proofs and a quantitative direct sampling scheme for reconstructing initial acoustic sources from time-dependent wave data.
Luke and R Potthast,The point source method for inverse scattering in the time domain, Math- ematical Methods in the Applied Sciences, 29 (2006), 1501–1521
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Quantitative Direct Sampling for Initial Acoustic Sources
Novel spacetime-integral indicator functions enable uniqueness proofs and a quantitative direct sampling scheme for reconstructing initial acoustic sources from time-dependent wave data.