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

TL;DR

This paper introduces a method to control ultrashort light pulses in scattering media by decomposing the time-gated transmission matrix with singular value decomposition, enabling precise energy delivery at desired delays.

Contribution

The study demonstrates the use of singular value decomposition of the transmission matrix for optimal temporal control of light in complex media, a novel approach in this field.

Findings

Successful control of energy deposition at specific delay times.

Insights into multi-spectral light scattering mechanisms.

Potential applications in imaging and coherent control.

Abstract

The complex temporal behavior of an ultrashort pulse of light propagating through a multiply 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 energy deposition at any controllable delay time. Our approach provides insights into fundamental aspects of multi-spectral light scattering and could find applications in imaging or coherent control.