Temporal light control in complex media through the singular-value decomposition of the time-gated transmission matrix

The complex temporal behavior of an ultrashort pulse of light propagating through a multiple scattering medium can be characterized experimentally through a time-gated transmission matrix. Using a spatial light modulator, we demonstrate here that injecting singular vectors of this matrix allows us to optimally control the energy deposition at any controllable delay time. Our approach provides insights into the fundamental aspects of multispectral light scattering and could find applications in imaging or coherent control.