Controlling Light Through Optical Disordered Media : Transmission Matrix Approach
S. M. Popoff, G. Lerosey, M. Fink, A. C. Boccara, S. Gigan

TL;DR
This paper experimentally measures the transmission matrix of an optical scattering medium to enable control and imaging through complex media, analyzing noise effects and medium properties.
Contribution
It introduces an experimental method to measure the optical transmission matrix and applies it to control light and analyze medium properties.
Findings
Successfully measured the transmission matrix of a scattering medium.
Demonstrated control of the output field using the transmission matrix.
Analyzed the statistical properties and memory effect attenuation length.
Abstract
We experimentally measure the monochromatic transmission matrix (TM) of an optical multiple scattering medium using a spatial light modulator together with a phase-shifting interferometry measurement method. The TM contains all information needed to shape the scattered output field at will or to detect an image through the medium. We confront theory and experiment for these applications and we study the effect of noise on the reconstruction method. We also extracted from the TM informations about the statistical properties of the medium and the light transport whitin it. In particular, we are able to isolate the contributions of the Memory Effect (ME) and measure its attenuation length.
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