Sequential Transmission Matrix Evaluation Via Spatiotemporal Transmitted Modes Decomposition

Abstract: The transmission matrix (TM) is a representation to describe the light scattering process through a scattering medium. The degree of control elements in TM is correlated with the capacity of evaluating enormous equations with tremendous number of unknow parameters, which seriously restricts the efficiency and accuracy of TM, and thus further confines applications such as image recovery. To completely remove this restriction, we propose decomposing TM and sequentially acquiring the dimension reduced decompositions regarding to the time and space invariance nature of transmitted field behind scattering medium. This proposed approach would not only have the ability to achieve high dimension transmission matrix with fully controllable elements, but also brings optimized signal-to-noise ratio during evaluation processing, which provides researchers a way to reach maximal focusing efficiency or image reconstruction resolution.