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AbstractLossless linear wave propagation is symmetric in time, a principle which can be used to create time reversed waves. Such waves are special "pre-scattered" spatiotemporal fields, which propagate through a complex medium as if observing a scattering process in reverse, entering the medium as a complicated spatiotemporal field and arriving after propagation as a desired target field, such as a spatiotemporal focus. Time reversed waves have previously been demonstrated for relatively lowdoi:10.1038/s41467-020-19601-3 pmid:33199708 fatcat:m7a7yrqqdrbn7mebxhmwjftex4