Deterministic light focusing in space and time through multiple scattering media with a Time-Resolved Transmission Matrix approach
Mickael Mounaix, Hugo Defienne, Sylvain Gigan

TL;DR
This paper introduces a method to precisely focus ultrashort light pulses through scattering media by measuring a time-resolved transmission matrix, enabling control over space and time for imaging and coherent applications.
Contribution
The novel approach combines a spatial light modulator with time-gated detection to characterize and focus light in complex media using a transmission matrix.
Findings
Successful focusing of ultrashort pulses in space and time
Enhanced imaging capabilities in disordered media
Potential for advanced coherent control applications
Abstract
We report a method to characterize the propagation of an ultrashort pulse of light through a multiple scattering medium by measuring its time-resolved transmission matrix. This method is based on the use of a spatial light modulator together with a coherent time-gated detection of the transmitted speckle field. Using this matrix, we demonstrate the focusing of the scattered pulse at any arbitrary position in space and time after the medium. Our approach opens new perspectives for both fundamental studies and applications in imaging and coherent control in disordered media.
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